Reference book

    Numerical Analysis

  1. Richard L. Burden and J. Douglas Faires. Numerical analysis.

    2. Numerical PDE and SDE

  2. Hans Petter Langtangen, Svein Linge. Finite difference computing with PDEs, using Python.
  3. Peter E. Kloeden and Eckhard Platen. Numerical solution of stochastic differential equations.
  4. Bernt Oksendal. Stochastic differential equations: An introduction with applications.
  5. Thomas Wick. Numerical Methods for Partial Differential Equations.

    6. Micromagnetics

  6. Boling Guo and Shijin Ding. Landau-Lifshitz equations.

    7. Homogenization and Multiscale Methods

  7. G.A. Pavliotis and A.M. Stuart. Multiscale methods: Averaging and homogenization.
  8. Yalchin Efendiev and Thomas Y. Hou. Multiscale finite element methods: Theory and applications.
  9. Weinan E. Principles of multiscale modeling.
  10. Bj\"orn Engquist. Encyclopedia of Applied and Computational Mathematics.
  11. Doina Cioranescu and Patrizia Donato. An introduction to homogenization.

    12. Molecular simulation

  12. Daan Frenkel and Berend Smit. Understanding molecular simulation: From algorithm and applications.

    13. Electrodynamics

  13. Fulvio Melia. Electrodynamics (Chicago Lectures in Physics).
  14. Schwartz, Melvin. Principles of Electrodynamics.

    15. Electronic structure calculations

  15. Richard M. Martin. Electronic Structure: Basic Theory and Practical Methods.
  16. Lin Lin and Jianfeng Lu. A Mathematical Introduction to Electronic Structure Theory.

    17. Free boundary and Interface problems

  17. Eberhard B\"ansch, Klaus Deckelnick, Harald Garcke and Paola Pozzi. Interfaces: Modeling, Analysis, Numerics (2023).
  18. Edward Yu. Bormashenko. Wetting of real surfaces.
  19. Kathrin Schulte, Cameron Tropea, Bernhard Weigand. Droplet dynamics under extreme ambient conditions.

    20. Quantum computing and simulations

  20. Daniel V. Schroeder. Notes on Quantum Mechanics (2022).

    21. Fluid Structure Interaction and its applications

  21. Yuri Bazilevs, Kenji Takizawa. Advances in computational FSI and flow simulation.
  22. Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent. Level set methods for FSI.
  23. Thomas Wick. Modeling, Discretization, Optimization, and Simulation of FSI.

    24. Machine Learning for scientific computing

    Computational Fluid Mechanics

  24. H. Yamaguchi. Engineering Fluid Mechanics.
  25. Dongqing Li. Encyclopedia of Microfluidics and Nanofluidics.

    26. Computational Solid Mechanics

    Mathematical modeling

  26. Sam Howison. Practical Applied Mathematics: Modelling, Analysis, Approximation.

    27. Numerical software for Simulations

Useful link

    XJTLU

  1. Web portal. E-hall URL.
  2. Library student thesis. Link.
  3. high performance computing. Link.

Interesting thesis collection (Some given topics)

    Machine learning and applications

  1. Learning as a Sampling Problem (Bradly C Stadie, Summer 2018, University of California, Berkeley).
  2. Dynamic Optimization in the Age of Big Data (Bradley Eli Sturt, May 2020, Massachusetts Institute of Technology).
  3. Kernel Methods for Unsupervised Domain Adaptation (Boqing Gong, 2015, University of Southern California).
  4. Deep Learning Based Methods for the Study of Dynamical Systems (Lin Bo, 2021, National University of Singapore).
  5. Efficient Deep Neural Networks (Bichen Wu, 2019, University of California, Berkeley).
  6. concurrent hierarchical reinforcement learning (Bhaskara Mannar Marthi, 2006, University of California, Berkeley).
  7. data science for materials science (Benjamin Bruce Bales, 2019, University of California, Santa Barbara).
  8. on the spectral bias of neural networks in the neural tangent kernel regime (Benjamin Bowman, 2023, University of California, Los Angeles).
  9. analysis of topological magnetic phases using generative machine learning models (Ondrej Dušek, 2023, Charles University).
  10. Dependence: From classical copula modeling to neural networks (Avinash Srikanta Prasad, 2020, University of Waterloo).
  11. Learning Discriminative Models with Incomplete Data (Ashish Kapoor, 2006, Massachusetts Institute of Technology).
  12. Theoretical and Applied Deep Learning for Turbulence (Ashesh Chattopadhyay, 2022, Rice University).
  13. Randomized Algorithms for Scalable Machine Learning (Ariel Jacob Kleiner, 2012, University of California, Berkeley).
  14. Data-Driven Reduced-Order Modeling for Symmetrical Systems (Ariana Mendible, 2021, University of Washington).
  15. Transfer Learning Algorithms for Image Classification (Ariadna Quattoni, 2009, Massachusetts Institute of Technology).
  16. Learning-Based Approaches to Control, Estimation and Modeling (Arash Rahnama, 2018, University of Notre Dame).
  17. Optimizing supervised machine learning algorithms with practical applications (Anthony James Dunn, 2023, University of Southampton).
  18. Analysis of a Continually Adapting Neural Network (Anna Heimgartner Pryor, 1998, University of California at Berkeley).
  19. Adapting Deep Learning for Microscopy: Interaction, Application, and Validation (Ankit Gupta, 2023, Uppsala University).
  20. building invariant, robust and stable machine learning systems using geometry and topology (Anirudh Som, 2020, Arizona State University) .
  21. data-efficient machine learning with applications to cardiology (Aniruddh Raghu, 2024, Massachusetts Institute of Technology) .
  22. some mathematical models for data clustering (Andy M. Yip, 2005, University of California, Los Angeles) .
  23. reinforcement learning for mean field games and mean field control problems (Andrea Angiuli, 2021, University of California, Santa Barbara) .
  24. variational and dynamical perspectives on learning and optimization (Andre Yohannes Wibisono, 2016, University of California, Berkeley) .
  25. robust classification and regression (Hanbo Li, 2018, University of California San Diego) .
  26. computational trade-offs in statistical learning (Alekh Agarwal, 2012, University of California, Berkeley) .
  27. an exploration of data-driven system identification and machine learning for plasma physics (Alan Kaptanoglu, 2021, University of Washington) .
  28. loss landscapes and generalization in neural networks: theory and applications (Akshay Rangamani, 2019, The Johns Hopkins University) .
  29. comparative study of pattern recognition, neural network and statistical regression approaches to information retrieval (Aitao Chen, 1998, University of California, Berkeley) .
  30. novel machine learning algorithms for personalized medicine and insurance (Agni Orfanoudaki, 2021, Massachusetts Institute of Technology) .
  31. Computational and statistical advances in testing and learning (Aaditya Kumar Ramdas, 2015, Carnegie Mellon University).
  32. Generalisation in feed forward neural classifiers(Aarnoud Hoekstra, 1998, Technische Universiteit Delft).
  33. machine learning-based generalized multiscale finite element method and its application in reservoir simulation(Abouzar Choubineh, 2023, University of Liverpool).
  34. effective and efficient learning at scale (Adams Wei Yu, 2019, Carnegie Mellon University) .

    35. Computational materials

  35. Homogenization of Irregular Shaped Composite Materials in Periodic Structures (Bongsoo Jang, 2005, The University of North Carolina at Charlotte).
  36. Efficient and Accurate Parallel Simulations for Streamer Discharge in Three Dimensions (Lin Bo, 2020, National University of Singapore).
  37. variational methods for phase transitions (Bernardo Galvăo-Sousa, 2008, Carnegie Mellon University).
  38. Complex Flow and Transport Phenomena in Porous Media (Ayçil Çesmelioglu, 2010, Rice University).
  39. Continuum Models of Deformation Mechanisms in Nanocrystalline Metals (Antoine Jérusalem, 2007, Massachusetts Institute of Technology).
  40. phase transitions in a ginzburg-landau model and a kagomé antiferromagnet (Andrew David Rutenberg, 1993, Princeton University) .
  41. multi-scale analysis for microscopic models in materials science and cell biology (Alvin T. J. Kho, 2000, University of Massachusetts Amherst) .
  42. particle grid hybrid methods for multi-material dynamics (Alan Marquez Razon, 2021, University of California, Los Angeles) .
  43. variational methods in materials science (Alain Forclaz, 2002, University of Oxford) .

    44. Computational biology

  44. Dances and Escape of the Vortex Quartet (Brandon M. Behring, December 2020, New Jersey Institute of Technology and Rutgers, The State University of New Jersey – Newark).
  45. Adaptive Reduction of Large Spiking Neurons (Bosen Du, 2013, Rice University).
  46. Investigation of Some Cell Morphology Using Phase Field Method (Betul Senay Aras, 2017, The Ohio State University).
  47. theory and practice in replica-exchange molecular dynamics simulation (Benjamin Perry Cooke Isard, 2008, Duke University).
  48. resampling methods for protein structure prediction (Benjamin Norman Blum, 2008, University of California at Berkeley).
  49. mathematical modeling and computation of molecular solvation and binding (Bao Wang, 2016, Michigan State University).
  50. Solving distance geometry problems for protein structure determination (Atilla Sit, 2010, Iowa State University).
  51. modeling and simulation of circulating tumor cells in flow (Angela Meeyoun Lee, 2014, University of Southern California) .
  52. continuous energy, shared memory parallel, 3-dimensional whole blood simulations (Andrew Kassen, 2021, The University of Utah) .
  53. toward a computational solution to the inverse problem of how hypoxia arises in metabolically heterogeneous cancer cell populations (Andrew Sundstrom, 2013, New York University) .
  54. mathematical models of cell migration and proliferation in scratch assays (Ana Victoria Ponce Bobadilla, Ruprecht-Karls-Universität Heidelberg) .
  55. symmetry-adapted molecular modeling of nanostructures and biomembranes (Amin Aghaei, 2013, Carnegie Mellon University) .
  56. contributions to scientific computing and mathematical modelling: stochastic simulation, constrained optimization, and infectious disease (Alfonso Landeros, 2021, University of California, Los Angeles (UCLA)).
  57. an interacting particle model for the migrations of pelagic fish (Alethea B.T. Barbaro, 2008, University of California, Santa Barbara) .
  58. a two strain spatiotemporal mathematical model of cancer with free boundary condition (Roberto L. Alvarez, 2014, Arizona State University) .
  59. coupled multiscale modeling of aortic valve tissue (Ahmed A Bakhaty, 2018, University of California, Berkeley) .
  60. biophysical mechanism for neural spiking dynamics (Adrian Nicholas Smith, 2016, Arizona State University).

    61. Computational Fluid and Solid Mechanics

  61. Numerical Simulations Regarding Turbulence and Convection (Branden Neese, December 2013, Indiana University).
  62. High-Order Discontinuous Galerkin Fluid-Structure Interaction Methods (Bradley Michael Froehle, Fall 2013, University of California, Berkeley).
  63. Physical and Numerical Aspects of Aeroelastic Simulations (Bonifacius Bima Prananta, 1999, Technische Universiteit Delft).
  64. Theory of Positivity-Preserving Numerical Methods for Thin Viscous Liquids Flowing Down Vertical Fibers (Bohyun Kim, 2023, University of California, Los Angeles).
  65. high reynolds number turbulent pipe flow (Beverley J. McKeon, 2003, Princeton University).
  66. free vibrations and static deformations of composite laminates and sandwich plates using ritz method (Berkan Alanbay, 2020, Virginia Polytechnic Institute and State University).
  67. isogeometric analysis of cahn-hilliard phase field-based binary-fluid-structure interaction based on an ale variational formulation (Babak Sayyid Hosseini, 2020, Technische Universität Dortmund).
  68. Computational fluid-structure interaction: Spatial coupling, coupling shell and mesh deformation (Augustina DE BOER, 2008, Technische Universiteit Delft).
  69. Go with the Flow: Moving meshes and solution monitoring for large-scale simulation (Arthur van Dam, 2009, Utrecht University).
  70. Simulation of incompressible viscous flows on distributed Octree grids (Arthur Guittet, 2016, University of California, Santa Barbara).
  71. Numerical analysis and computations of fluid flows: geophysical flows and classical flows (Arthur Bousquet, 2015, Indiana University).
  72. Space averaged Navier-Stokes equations in the presence of walls (Argus Adrian Dunca, 2004, University of Pittsburgh).
  73. Incompressible Navier-Stokes Flow About Multiple Moving Bodies (Archi C. Li, 1996, University of California, Los Angeles).
  74. Multiscale modeling and numerical methods in nonlinear elasticity (Antoine Gloria, 2007, École Nationale des Ponts et Chaussées).
  75. Algorithms for Fluid-Structure Interaction Problems Arising in Hemodynamics (Annalisa Quaini, 2009, École Polytechnique Fédérale de Lausanne).
  76. analysis and numerical realisation of discrete projection methods for rotating incompressible flows (Andriy Sokolov, 2008, Technische Universität Dortmund) .
  77. weak imposition of boundary conditions in the stokes and navier-stokes equations. (Anastasios Liakos, 1999, University of Pittsburgh).
  78. direct and large-eddy simulation of wake flows: flow past a sphere (Ananias G. Tomboulides, 1993, Princeton University) .
  79. navier-stokes equations with navier boundary condition (Amrita Ghosh, 2018, Université de Pau et des Pays de l'Adour & Universidad del País Vasco) .
  80. nonlinear dynamics of three dimensional fluid flow separation (Amit Surana, 2007, Massachusetts Institute of Technology (MIT)) .
  81. energy dissipation in turbulence (Ali Pakzad, 2018, University of Pittsburgh) .
  82. simulations and models for gas flows in microgeometries (Ali Beskök, 1996, Princeton University) .
  83. data-driven and nonlocal approaches in modeling, analysis and simulation of turbulent mixing phenomena (Ali Akhavan Safaei, 2022, Michigan State University) .
  84. a correction function method to solve incompressible fluid flows to high accuracy with immersed geometries (Alexandre Noll Marques, 2012, Massachusetts Institute of Technology (MIT)) .
  85. incompressible fluid flows in rapidly rotating cavities (Alexandre Fournier, 2004, Princeton University) .
  86. computational techniques for stratified shear flows (Alexandra C. VanDine, 2019, University of California San Diego) .
  87. investigation of transition to turbulence at low reynolds numbers using implicit large eddy simulations with a discontinuous galerkin method (Alejandra Uranga, 2011, Massachusetts Institute of Technology (MIT)) .
  88. fluid dynamics with incompressible schrödinger flow (Albert Chern, 2017, California Institute of Technology (Caltech)) .
  89. initial and boundary value problems for the inviscid primitive equations and shallow water equations (Aimin Huang, 2014, Indiana University) .
  90. Finite Element Approximation of Problems in Non-Newtonian Fluid Mechanics (Adrian Hirn,Ruprecht-Karls-Universität Heidelberg, Karls-Universität Prag) .
  91. partitioned solution of geometrical multiscale problems for the cardiovascular system: models, algorithms, and applications (Adelmo Cristiano Innocenza MALOSSI, 2012, École Polytechnique Fédérale de Lausanne) .
  92. Numerical simulations of competitive-consecutive reactions in turbulent channel flow (Aaltje Jantien Vrieling, 2003, Technische Universiteit Delft).
  93. An adaptive viscoelastic fluid solver: formulation, verification, and applications to fluid-structure interaction (Aaron Barrett, 2019, University of North Carolina at Chapel Hill).
  94. Finite element simulation of nonlinear fluids with application to granular material and powder (Abderrahim Ouazzi, 2005, Universität Dortmund).
  95. on numerical algorithms for fluid flow regularization models(Abigail L. Bowers, 2014, Clemson University).
  96. gravity, surfactants, and instabilities of two-layer shear flows(Adam Schweiger, 2013, The University of Alabama).
  97. a semi-implicit smoothed particle hydrodynamics method for the numerical simulation of shallow water flows (Adeleke Olusegun Bankole, 2016, Universität Hamburg).

    98. Computational Mathematics

  98. Motion due to Dynamic Density Constraints (Brent Alan Woodhouse, 2018, University of California, Los Angeles).
  99. Assessing Nonstationary Time Series Using Wavelets (Brandon J Whitcher, 1998, University of Washington).
  100. Numerical Methods for Porous Media Flow: Multiscale Modeling, Uncertainty Quantification, and Continuous Data Assimilation (Bradley W McCaskill, May 2018, University of Wyoming).
  101. High-Order Discontinuous Galerkin Fluid-Structure Interaction Methods (Bradley Michael Froehle, Fall 2013, University of California, Berkeley).
  102. Adaptive Finite Element Methods for Parameter Identification Problems (Boris Vexler, 2004, Ruprecht-Karls-Universität Heidelberg).
  103. Uniformly high order accurate strictly non-oscillatory numerical schemes for hyperbolic conservation law (Boning Tong, 1992, University of California, Los Angeles).
  104. Three-dimensional Solitary Waves in Dispersive Wave Systems (Boguk Kim, 2006, Massachusetts Institute of Technology).
  105. Finite Element Mass Lumping for H(div) and H(curl) (Bogdan Radu, 2022, Technische Universität Darmstadt).
  106. Probabilistic perspectives on dispersive partial differential equations (Bjoern Bringmann, 2021, University of California, Los Angeles).
  107. Nonlinear Limiters for Discontinuous Galerkin Method (Bingyu Zhao, 2018, Brown University).
  108. Finite Element Approximations of High Order Partial Differential Equations (Bin Zheng, 2008, The Pennsylvania State University).
  109. High-dimensional Analysis on Matrix Decomposition with Application to Correlation Matrix Estimation in Factor Models (Wu Bin, 2014, National University of Singapore).
  110. mathematical models of motor-based intracellular transport (Bhargav Karamched, 2017, The University of Utah).
  111. fast solvers and domain decomposition preconditioners for spectral element discretizations of problems in h(curl) (Bernhard Hientzsch, 2001, New York University).
  112. multi-goal oriented a posteriori error estimates for nonlinear partial differential equations (Bernhard Endtmayer, 2020, Johannes Kepler University Linz).
  113. dynamic mesh refinement (Benoît Hudson, 2007, Carnegie Mellon University).
  114. adaptive coupling of finite element methods for simulation of hydrodynamics and pollutant transport in lakes (Babak Sayyid Hosseini, 2020, Technische Universität Dortmund).
  115. topologically accurate meshing using domain subdivision techniques (Benjamin T Galehouse, 2009, New York University).
  116. reduced-order modeling of reactive solute transport for advection-dominated problems with nonlinear kinetic reactions (Benjamin R. S. McLaughlin, 2015, Florida State University).
  117. numerical vlasov-maxwell modelling of space plasma (Bengt Eliasson, 2002, Uppsala University).
  118. hydrodynamics on smooth 2-manifolds with spherical topology (Ben Jeffrey Gross, 2019, University of California, Santa Barbara).
  119. solving ill-conditioned problems in signal processing (Barry J. Sullivan, 1984, Princeton University).
  120. domain decomposition algorithms for the partial differential equations of linear elasticity (Barry F. Smith, 1990, New York University).
  121. adaptive coupling of finite element methods for simulation of hydrodynamics and pollutant transport in lakes (Bärbel Janssen, university Ruprecht-Karls-Universität Heidelberg).
  122. spectral methods and absorbing boundary conditions for maxwell's equations (Baolin Yang, 1998, Brown University).
  123. numerical analysis of the flows in the pebble bed geometries (Aziz Takhirov, 2014, University of Pittsburgh).
  124. Reliable Finite Element Simulation of Boundary Driven Turbulence (Atife Çaglar, 2002, University of Pittsburgh).
  125. Towards More Flexible Models in High Dimensions (Asad Haris, 2018, University of Washington).
  126. A Study of Spatial and Time Discretizations for Discontinuous Galerkin Methods (Arunasalam Rahunanthan, 2009, University of Wyoming).
  127. A Finite Element Method for the Numerical Solution of Conservation Laws (Artur Rudolf Walter, 1989, Zuse Institute Berlin).
  128. High order mimetic discretization: Development and application to Laplace and advection problems in arbitrary quadrilaterals (Artur Palha, 2013, Delft University of Technology).
  129. Symplectic Integration of Nonlinear Hamiltonian Systems (Arthur Ying-Wei Lee, 2004, University of California, Los Angeles).
  130. Developing Meshless Methods for Partial Differential Equations (Arthur Jonathan Lee, 2006, University of Nevada, Las Vegas).
  131. Properties of Divergence-Free Kernel Methods for Approximation and Solution of Partial Differential Equations (Arthur Araujo Mitrano, 2016, Arizona State University).
  132. Numerical solution of the Non-equilibrium Boltzmann Equation using the Discontinuous Galerkin Finite Element method (Arnab Debnath, 2018, Carnegie Mellon University).
  133. Resonant Solutions to Gross-Pitaevskii Equation with Periodic Potential (Arein Duaibes, 2022, University of Alabama at Birmingham).
  134. High-dimensional Principal Component Analysis (Arash Ali Amini, 2011, University of California, Berkeley).
  135. Random matrices, complexity of spin glasses and heavy tailed processes. (Antonio Auffinger, 2011, New York University).
  136. On Superconvergent Discontinuous Galerkin Methods for Schrödinger Equations and Sparse Grid Central Discontinuous Galerkin Method (Anqi Chen, 2019, Michigan State University).
  137. Topics in Higher Order Methods for Partial Differential Equations (Anne Elizabeth Gelb, 1996, Brown University).
  138. Multiresolution Homogenization Schemes for Differential Equations and Applications (Anna C. Gilbert, 1997, Princeton University).
  139. high order implicit shock tracking using an optimization-based discontinuous galerkin method (Andrew Shi, 2022, University of California, Berkeley) .
  140. numerical methods for shallow water equations (Andrew Yershov, 1998, Carnegie Mellon University) .
  141. creation and annihilation of nodes for the Moving Finite Element method (Andrew Paul Kuprat, 1992, University of California, Berkeley) .
  142. a study in the asymptotic behavior of nonlinear evolution equations with nonlocal operators (Andrei Tarfulea, 2015, Princeton University) .
  143. mixed fe-models for variational inequalities (Andrej Garanza, 2020, Universität Siegen) .
  144. superconvergence and accuracy enhancement of discontinuous galerkin solutions for vlasov-maxwell equations and numerical analysis of a hybrid method for radiation transport (Andrés Felipe Galindo Olarte, 2023, Michigan State University) .
  145. turbulence and particle dynamics in dense crystal slurries: a numerical study by means of lattice-boltzmann simulations (Andreas TEN CATE, 2002, Technische Universiteit Delft) .
  146. mathematical modeling and numerical simulation of piezoelectrical agitated surface acoustic waves (Andreas Gantner, 2005, Universität Augsburg) .
  147. high-performance high-order simulation of wave and plasma phenomena (Andreas Klöckner, 2010, Brown University) .
  148. on high-order nurbs-based boundary element methods in two dimensions (Andreas Bantle, 2015, Universität Ulm) .
  149. existence, uniqueness, and a characterization of solutions to the contour dynamics equation (Andrea Louise Bertozzi, 1991, Princeton University) .
  150. analysis and numerical simulation of viscoelastic flows: deterministic and stochastic models (Andrea BONITO, 2006, École Polytechnique Fédérale de Lausanne) .
  151. isogeometric analysis for high order geometric partial differential equations with applications (Andrea BARTEZZAGHI, 2017, École Polytechnique Fédérale de Lausanne) .
  152. numerical simulations of nonlinear waves and their stability: stokes waves and nonlinear schrödinger equation (Anastassiya Semenova, 2020, The University of New Mexico) .
  153. fast wavelet based methods for certain time dependent problems (An Jiang, 1996, University of California, Los Angeles) .
  154. sampling-based algorithms for dimension reduction (Amit Jayant Deshpande, 2007, Massachusetts Institute of Technology (MIT)) .
  155. part i: reconstruction of missing data in social networks based on temporal patterns of interactions part ii: constitutive modeling in solid mechanics for graphics applications (Alexey Dmitrievich Stomakhin, 2013, University of California, Los Angeles (UCLA)).
  156. numerical methods for solving ill-posed problems and their applications (Alexandra Smirnova, 2000, Kansas State University) .
  157. delaunay refinement algorithms for numerical methods (Alexander Rand, 2009, Carnegie Mellon University) .
  158. positivity preserving solutions of partial integro-differential equations (Alexander M. Lewis, 2009, Massachusetts Institute of Technology (MIT)) .
  159. high order schemes for gradient flows (Alexander James Zaitzeff, 2020, The University of Michigan) .
  160. on adaptive FEM and BEM for indefinite and nonlinear problems (Alexander Haberl, 2018, Vienna University of Technology, TU Wien) .
  161. five projects in pattern formation, fluid dynamics and computational neuroscience (Alexander C. Roxin, 2003, Northwestern University) .
  162. meshless numerical methods applied to multiphysics and multiscale problems (Alexander LUKYANOV, 2019, Delft University of Technology) .
  163. spectral methods for discontinuous problems (Solomonoff, Alex Leonard, 1992, Brown University) .
  164. high-order implicit-explicit runge-kutta time integration schemes and time-consistent filtering in spectral methods (Alex Kanevsky, 2006, Brown University) .
  165. isogeometric discretizations of evolutionary equations and fast solvers (Alen KUSHOVA, 2020, Joint doctoral program between Universitŕ degli Studi di Pavia and Universitŕ della Svizzera Italiana) .
  166. advances in the discontinuous galerkin method: hybrid schemes and applications to the reactive infiltration instability in an upwelling compacting mantle (Alan R. Schiemenz, 2009, Brown University) .
  167. part i: steady states in two-species particle aggregation part ii: sparse representations for multiscale pde (Alan Patrick Mackey, 2015, University of California, Los Angeles) .
  168. a generalization of the wiener rational basis functions on infinite intervals (Akil Narayan, 2009, Brown University) .
  169. studies in algorithms for fast structured matrices computations and their applications (AI LONG ZHENG, 1998, The City University of New York) .
  170. boundary functions for wavelets and their properties (Ahmet Altürk, 2009, Iowa State University) .
  171. smoothed wigner transforms and homogenization of wave propagation (Agissilaos G. Athanassoulis, 2007, Princeton University) .
  172. fast direct solvers for elliptic partial differential equations (A. Gillman, 2011, University of Colorado).
  173. stabilized numerical methods for stochastic differential equations driven by diffusion and jump-diffusion processes (Adrian BLUMENTHAL, 2015, École Polytechnique Fédérale de Lausanne) .
  174. high order hermite and sobolev discontinuous galerkin methods for hyperbolic partial differential equations (Adeline Kornelus, 2017, University of New Mexico) .
  175. Multiresolution surface parameterization and applications (Aaron Wai-Fun Lee, 2000, Princeton University).
  176. Numerical methods for large-scale ill-posed problems(Abdallah Muhammed Shuibi, 2003, Kent State University).
  177. Multidimensional wavelets and applications(Abderrazek KAROUI, 1995, University of Ottawa).
  178. preconditioning of hybridizable discontinuous galerkin discretizations of the navier–stokes equations(Abdullah Ali Sivas, 2021, University of Waterloo).
  179. structure-optimized and order-preserving methods for advection and time stepping(Abhijit Biswas, 2021, Temple University).
  180. an application of the von neumann algorithm to matrix completion and other data problems(Abraham Varghese, 2018, The University of Georgia).
  181. adaptive finite element methods for multiscale partial differential equations(Achim NONNENMACHER, 2011, École Polytechnique Fédérale de Lausanne).

    182. Computational Imaging and Inverse Problems

  182. Inverse problems with rough data (Boaz Eliezer Haberman, 2015, University of California, Berkeley).
  183. Topics in Variational PDE Image Segmentation, Inpainting and Denoising (Bing Song, 2003, University of California, Los Angeles).
  184. Applications of Variational Models and Partial Differential Equations in Medical Image and Surface Processing (Bin Dong, 2009, University of California, Los Angeles).
  185. some efficient numerical methods for inverse problems (Bangti Jin, 2008, The Chinese University of Hong Kong).
  186. Generating Pictures from Waves: Aspects of Image Formation (Ani Piro Velo, 2010, Massachusetts Institute of Technology).
  187. Bypassing the Limits of L1 Regularization: Convex Sparse Signal Processing Using Non-Convex Regularization (Ankit Parekh, 2016, New York University Tandon School of Engineering).
  188. penalization and bayesian numerical methods for multiscale inverse problems (Andrea DI BLASIO, 2019, École Polytechnique Fédérale de Lausanne) .
  189. rigorous optimization recipes for sparse and low rank inverse problems with applications in data sciences (Anastasios KYRILLIDIS, 2014, École Polytechnique Fédérale de Lausanne) .
  190. geometric methods for image registration and analysis (Anand Arvind Joshi, 2008, University of Southern California) .
  191. adaptive regularization and discretization for nonlinear inverse problems with pdes (Alana Rena Kirchner, 2014, Technische Universität München (Technical University of Munich)) .
  192. image inpainting using a modified cahn-hilliard equation (Alan Gillette, 2006, University of California, Los Angeles) .
  193. time–domain decomposition preconditioners for the solution of discretized parabolic optimal control problems (Agata Comas, 2005, Rice University) .
  194. convex relaxations for certain inverse problems on graphs (Afonso S. Bandeira, 2015, Princeton University).
  195. high-dimensional polynomial approximation with applications in imaging and recognition(Abhejit Rajagopal, 2019, University of California, Santa Barbara).
  196. inverse problems, regularization and its applications(Abinash Nayak, 2019, The University of Alabama).

    197. Quantum Computing

  197. Quantum Algorithms for Linear Algebra and Machine Learning (Anupam Prakash, 2014, University of California at Berkeley).
  198. quantum entanglement, quantum communication and the limits of quantum computing (Andris Ambainis, 2001, University of California at Berkeley) .
  199. control, gates, and error suppression with hamiltonians in quantum computation(Adam Darryl Bookatz, 2016, Massachusetts Institute of Technology).

    200. Optimal Control Computation

  200. Efficient Duality-Based Numerical Methods for Sparse Parabolic Optimal Control Problems (Chen Bo, 2018, National University of Singapore).
  201. Numerical Methods for Control of Second Order Hyperbolic Equations (Axel W. H. Kröner, 2011, Technische Universität München).
  202. Numerical methods for optimal transport and optimal information transport on the sphere (Axel G. R. Turnquist, 2022, New Jersey Institute of Technology).
  203. Statistical aspects of optimal transport (Austin J. Stromme, 2023, Massachusetts Institute of Technology).
  204. efficient higher order discontinuous galerkin time discretizations for parabolic optimal control problems (Andreas Springer, 2015, Technische Universität München) .
  205. numerical solution of optimal control problems with explicit and implicit switches (Andreas Meyer, 2020, Ruprecht-Karls-Universität Heidelberg) .
  206. minimax optimal control of steady state systems (Amy L. Ward, 1998, Clemson University) .
  207. asymptotic analysis and high order markov chain based numerical methods for optimal control problems and related hamilton-jacobi partial differential equations(Adam Abraham Szpiro, 1999, Brown University).
  208. theory and implementation of numerical methods based on runge-kutta integration for solving optimal control problems (Adam Lowell Schwartz, 1996, University of California at Berkeley).

    209. Interface problem

  209. Energy Stability of Numerical Methods and Sharp Interface Limits for the Time-Fractional Cahn–Hilliard Equation (Boyi Wang, 2022, National University of Singapore).
  210. Simulating the blood-muscle-valve mechanics of the heart by an adaptive and parallel version of the immersed boundary method (Boyce Eugene Griffith, 2005, New York University).
  211. Numerical Methods for Two-phase Flow in Rigid and Deformable Porous Media (Boqian Shen, 2022, Rice University).
  212. Non-overlapping Domain Decomposition and Heterogeneous Modeling Used in Solving Free Boundary Problems (Bin Jiang, 1999, University of California, Santa Barbara).
  213. lubrication models for particle-laden thin films (Benjamin Patrick Cook, 2007, University of California, Los Angeles).
  214. stabilization of the hybrid immersed boundary method (Ben L. Vadala-Roth, 2020, University of North Carolina at Chapel Hill).
  215. the dynamics of particles and droplets in atmospheric turbulence: a numerical study (Bas Adriaan van Haarlem, 2000, Technische Universiteit Delft).
  216. Numerical simulation of sediment dynamics with free surface flows (Arwa MRAD, 2021, École Polytechnique Fédérale de Lausanne).
  217. Nonlinear partial differential equations in fluid dynamics: interfaces, microstructure, and stability. (Antoine Remond-Tiedrez, 2020, Carnegie Mellon University).
  218. Nonlinear Dynamics of Gas Bubbles in Liquids (Anthony Andrew Harkin, 2001, Boston University).
  219. direct numerical simulations of thermocapillary driven motions in two-phase flows (Anja Charlotte Lippert, 2016, Technische Universität Darmstadt).
  220. the explicit jump immersed interface method and interface problems for differential equations (Andreas Wiegmann, 1998, University of Washington).
  221. sharp interface limit for a stokes/ cahn-hilliard system (Andreas Marquardt (geb. Schöttl), 2018, Universität Regensburg) .
  222. front-tracking finite element methods for a void electro-stress migration problem (Andrea Sacconi, 2016, Imperial College London) .
  223. reduced models for optimal control, shape optimization and inverse problems in haemodynamics (Andrea MANZONI, 2012, École Polytechnique Fédérale de Lausanne) .
  224. numerics and optimal control of phase-field models for multiphase flow (Andrea Lunari, 2018, Universität Bielefeld) .
  225. modeling and simulation of convection-dominated species transfer at rising bubbles (Andre Weiner, 2020, Technische Universität Darmstadt) .
  226. constraint-based adaptive immersed body technique for multiphysics problems (Amneet Pal Singh Bhalla, 2013, Northwestern University) .
  227. a numerical and analytical study of the growth of second phase particles using a sharp interface approach (Amlan K. Barua, 2012, Illinois Institute of Technology) .
  228. macroscopic theory of two-phase bubbly flow (Aloysius Johannes Nicolaas Vreenegoor, 1990, Technische Universiteit Delft ) .
  229. fundamental problems in gas-liquid two-phase flow (Allan Knight Chesters, 1978, Delft University of Technology, TU Delft, Netherlands) .
  230. free boundary problems in a Hele-Shaw cell (Ali Haseeb Khalid, 2015, University College London (UCL)) .
  231. analysis and numerical simulation of free surface flows (Alexandre CABOUSSAT, 2003, EPFL).
  232. boundary tracking in large data sets and modeling the evolution of landscapes (Alexander S-Ban Chen, 2011, University of California, Los Angeles (UCLA)) .
  233. lubricant flow and de-wetting at the head-disk interface of a hard disk drive (Alejandro Rodriguez Mendez, 2015, University of California, Berkeley) .
  234. topics in free surface flows (Adriano M. Lezzi, 1990, The Johns Hopkins University) .
  235. nonlinear dynamics in boundary lubricated interfaces and in semiconductor quantum wells (Adriano de Albuquerque Batista, 2000, University of California, Santa Barbara).
  236. tracking and texturing liquid surfaces (Adam Wade Bargteil, 2006, University of California, Berkeley) .

    237. Computational Physics

  237. Large-eddy Simulation of the Nighttime Stable Atmospheric Boundary Layer (Bowen Zhou, Fall 2012, University of California, Berkeley).
  238. Derivation and Analysis of a Phase Field Model for Alloy Solidification (Björn Stinner, 2005, Universität Regensburg).
  239. second-order in time numerical integration of the Landau–Lifshitz–Gilbert equation (Bernhard Erwin Stiftner, Technische Universität Wien).
  240. electromagnetic effects in cylindrical pipe flow (Bendiks Jan Boersma, 1997, Technische Universiteit Delft).
  241. first-order systems least squares for electromagnetics (Barry Lee, 1996, University of Colorado).
  242. The Effects of Numerical Scheme Resolvability for Large-Eddy Simulations (Ayaboe Edoh, 2017, University of California, Los Angeles).
  243. Mathematical Analysis of Maxwell's Equations (Aurelia Minut, 2001, Michigan State University).
  244. Modeling Grain Boundary Structures Using Energy Minimization (Antti Aleksi Pihlaja, 2000, New York University).
  245. Numerical approximation of cardiac electro-fluid-mechanical models: coupling strategies for large-scale simulation (Antonello Gerbi, 2018, École Polytechnique Fédérale de Lausanne).
  246. First Principles Investigation of the Thermodynamic and Kinetic Properties of Lithium Transition Metal Oxides (Anton Van der Ven, 2000, Massachusetts Institute of Technology).
  247. hamiltonian flow equations and the electron-phonon-problem (Albrecht Schütte, 2002, University of Heidelberg) .
  248. transport and spin-pseudospin domain walls in integer quantum hall systems (Aditi Mitra, 2002, Indiana University) .

    249. Computational Finance

  249. numerical methods for long-term impulse control problems in finance (Amélie Bélanger, 2008, University of Waterloo) .
  250. representation learning in finance (Ajim Uddin, 2022, New Jersey Institute of Technology) .
  251. applications of machine learning methods in financial markets (Adriano Soares Koshiyama, 2020, University College London) .

    252. Computational and Engineering Optimization

  252. Statistical Guarantee for Non-Convex Optimization (Botao Hao, 2019, Purdue University).
  253. error estimates for finite element methods in shape optimization (Bernhard Kiniger, 2015, Technische Universität München).
  254. global and robust optimization for engineering design (Berk Öztürk, 2022, Massachusetts Institute of Technology).
  255. finite dimensional optimization methods and their application to large-eddy simulations (Ayaboe Edoh, 2017, Brown University).
  256. Behavior of the Limited-Memory BFGS Method on Nonsmooth Optimization Problems in Theory and Practice (Azam Asl, 2020, New York University).
  257. Adaptable Optimization: Theory and Algorithms (Constantine Caramanis, 2006, Massachusetts Institute of Technology).
  258. Efficient and Reliable Global Optimization (Anthony P. Leclerc, 1992, The Ohio State University).
  259. The Use of Optimization Techniques in the Solution of Partial Differential Equations from Science and Engineering (Anthony José Kearsley, 1996, Rice University).
  260. optimal design of gradient fields with applications to electrostatics (Ani Piro Velo, 2000, Worcester Polytechnic Institute) .
  261. numerical methods for optimization problems in water flow and reactive solute transport processes of xenobiotics in soils (Angelika Dieses, 2000, Ruprecht-Karls-Universität Heidelberg) .
  262. optimal sampling paths for autonomous vehicles in uncertain ocean flows (Andrew J. de Stefan, 2019, New Jersey Institute of Technology) .
  263. direct methods for pde-constrained optimization using derivative-extended pod reduced-order models (Andreas Schmidt, Ruprecht-Karls-Universität Heidelberg) .
  264. a direct method for the numerical solution of optimization problems with time-periodic pde constraints (Andreas Potschka, 2011, Ruprecht-Karls-Universität Heidelberg) .
  265. SQP methods for large-scale optimization (Alexander Barclay, 1999, University of California, San Diego) .
  266. algorithms for optimal paths of one, many, and an infinite number of agents (Alex Tong Lin, 2020, University of California, Los Angeles) .
  267. numerical shape optimization with finite elements (Alberto Paganini, 2016, ETH Zurich (Eidgenössische Technische Hochschule Zürich)) .
  268. methods for large scale nonlinear and stochastic optimization (Albert S. Berahas, 2018, Northwestern University) .
  269. adaptation in stochastic algorithms: from nonsmooth optimization to min-max problems and beyond (Ahmet ALACAOGLU, 2021, École Polytechnique Fédérale de Lausanne) .

    270. Computational chemistry

  270. Mathematical Analysis of Chemical Systems: The effect of defect structures on chemically active surfaces; Optimal control of quantum molecular systems (Anthony P. Peirce, 1987, Princeton University).
  271. Connecting Molecular Dynamics and Computational Fluid Dynamics (Anton Pieter Markesteijn, 2011, Technische Universiteit Delft).
  272. Novel Algorithms and Tools for Computational Protein Design with Applications to Drug Resistance Prediction, Antibody Design, Peptide Inhibitor Design, and Protein Stability Prediction (Anna Ulrika Lowegard, 2019, Duke University).
  273. sparse representations and fast algorithms for kohn-sham orbitals (Anil Damle, 2016, Stanford University) .
  274. a penalty function method for constrained molecular dynamics (Ajith Gunaratne, 2006, Iowa State University) .

    275. Computational statistics and stochastics

  275. Application of Quasi-Random Sequences to Monte Carlo Methods (Bradley Scott Moskowitz, 1993, University of California, Los Angeles).
  276. stochastic modeling of water vapor in the climate system (Baohua Chen, 2009, Illinois Institute of Technology).
  277. Numerical Methods and Stochastic Simulation Algorithms for Reaction-Drift-Diffusion Systems (Ava J. Mauro, 2014, Boston University).
  278. Stochastic Processes in Cell Biology (Arjun Raj, 2006, New York University.
  279. A Robust Optimization Approach to Statistical Estimation Problems (Apostolos G. Fertis, 2009, Massachusetts Institute of Technology).
  280. Analysis of Regularity and Convergence of Discretization Methods for the Stochastic Heat Equation Forced by Space-Time White Noise (Anthony Clinton Wills, 2015, Florida State University).
  281. general and efficient bayesian computation through hamiltonian monte carlo extensions (Akihiko Nishimura, 2017, Duke University) .

    282. Computational geometry

  282. geometric model order reduction (Babak MABOUDI AFKHAM, 2018, École Polytechnique Fédérale de Lausanne).
  283. Surface and bulk moving mesh methods based on equidistribution and alignment (Avary Kolasinski, 2019, University of Kansas).
  284. finite element methods for geometric problems (Alexander Helmut-Wilhelm Raisch, 2012, University of Bonn) .

    285. Computational healthcare

  285. mathematical aspects of infectious disease dynamics (Barbara DE BOER, 2007, Universiteit Utrecht).
  286. Drug Resistance in Infectious Diseases Modeling, Analysis and Simulation (Le Thi Thanh An, 2012, Ruprecht-Karls-Universität Heidelberg) .
  287. from data to decisions in healthcare: an optimization perspective (Alexander Michael Weinstein, 2017, Massachusetts Institute of Technology (MIT)) .
  288. data-driven computational sensing (Ali Mousavi, 2018, Rice University) .
  289. computational methods for exploring human behavior (Allison June Barlow Chaney, 2016, Princeton University) .

    290. Computational mechanics

  290. Strong Form-Based Collocation Method and its Applications: Microstructure Evolution, Contact Mechanics, and Frictional Crack (Ashkan Almasi, 2019, University of Colorado).