CSE Courses
Lectures:
| [handout = 2 slides/page] | [full = full slides] | [four up = 4 slides/page] |
Finite Difference lectures based on Morton and Mayers, Numerical Solution of Partial Differential Equations, Cambridge University Press.
- M&M 1: (handout - full - four up)
- M&M 2: (handout - full - four up)
- M&M 3: (handout - full - four up)
- M&M 4: (handout - full - four up)
- M&M 5: (handout - full - four up)
- M&M 6: (handout - full - four up)
Finite Element lectures based on Axelsson and Barker, Finite Element Solution of Boundary Value Problems: Theory and Computation, SIAM.
- A&B 1: (handout - full - four up)
- A&B 2: (handout - full - four up)
- A&B 3: (handout - full - four up)
- A&B 4: (handout - full - four up)
Supplementary Material:
Finite Element lectures based on Eriksson, Estep, Hansbo, and Johnson, Computational Differential Equations, Cambridge University Press.
- EEH&J 1: (handout - full - four up)
- EEH&J 2: (handout - full - four up)
- EEH&J 3: (handout - full - four up)
- EEH&J 4: (handout - full - four up)
- EEH&J 5: (handout - full - four up)
- EEH&J 6: (handout - full - four up)
- EEH&J 7: (handout - full - four up)
Apart from the required text books the following books are useful.
Numerical Solution of PDEs
- K. Eriksson e.a., Computational Differential Equations, Cambridge
- H. P. Langtangen, Computational Partial Differential Equations, Springer
- Ph. G. Ciarlet, The Finite Element Method for Elliptic Problems, SIAM
- Ainsworth & Oden, A Posteriori Error Estimation in Finite Element Analysis, Wiley InterScience
- Babuska & Strouboulis, The Finite Element Method and its Reliability, Oxford
PDEs and Applied Mathematics
- Lanczos, The Variational Principles of Mechanics, Dover
- V. A. Arnold, Mathematical Methods of Classical Mechanics, Springer
- E. Zauderer, Partial Differential Equations, Wiley
- C. C. Lin & L. A. Segel, Mathematics Applied to Deterministic Problems in the Natural Sciences, SIAM
Basics
- E. Kreyszig, Advanced Engineering Mathematics, Wiley
- L. N. Trefethen & Bau, Numerical Linear Algebra, SIAM
- G. H. Golub and C. Van Loan, Matrix Computations, John Hopkins University Press
General Numerical Analysis
- M. T. Heath, Scientific Computing: An Introductory Survey 2nd edition, McGrawHill
- A. Quarteroni e.a, Numerical Mathematics, Springer
Solving Linear Systems and Eigenvalue Problems
- G. Meurant, Computer Solution of Large Linear Systems, North Holland
- Duff, Dongarra, Sorensen, and Van der Vorst, Numerical Linear Algebra for High Performance Computers, SIAM
- A. Greenbaum, Iterative Methods for Solving Linear Systems, SIAM
- Y. Saad, Iterative Methods for Sparse Linear Systems, ITP
- U. Trottenberg, C. W. Oosterlee, and A. Schueller, Multigrid, Academic Press
