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.