MA5233 ----- Computational Mathematics
(Semester 1 2008/09)
Reference Books:
- On numerical analysis:
- Richard L. Burden and J. Douglas Faires:
Numerical Analysis (2001);
Publisher: Brooks/Cole Publishing Company.
- An Introduction to Numerical Analysis , (2nd edition, 1993),
by K.E. Atkinson. Publisher: John Wiley.
- P.G. Ciarlet and J.L. Lions: Handbook of numerical
analysis (1990-1997). Publisher: North-Holland.
Distributors: Elsevier Science Pub. Co.
- Numerical Recipes in Fortran or in C ,
Cambridge University Press.
- Numerical Methods using Matlab , (3rd edition, 1999),
by John H. Mathews & Kurtis D. Fink. Publisher: Prentice Hall.
- A. Quarteroni, R. Sacco and F. Saleri:
Numerical Mathematics;
Publisher: Springer-Verlag.
- On numerical linear algebra:
- L. N. Trefethen and D. Bau III:
Numerical Linear Algebra (1997);
Publisher: Society for Industrial and Applied Mathematics (SIAM).
- G.H. Golub: Matrix Computations (1996); Publisher:
Johns Hopkins University Press.
- Y. Saad: Iterative Methods for Sparse Linear Systems ;
Publisher: PWS Publishing.
- On numerical methods for differential equations (ODEs & PDEs):
- C.W. Gear: Numerical Initial Value Problems in Ordinary
Differential Equations (1971). Publisher: Prentice-Hall.
- Arieh Iserles: A First Course in the Numerical
Analysis of Differential Equations (1996);
Publisher: Cambridge University Press.
- G. D. Smith: Numerical Solution of Partial Differential
Equations: Finite Difference Methods (1985);
Publisher: Clarendon Press.
- H.-O. Kreiss:
Numerical Methods for Solving Time-Dependent Problems
for Partial Differential Equations (1978).
- B. Gustafsson, H-O Kreiss, J. Oliger:
Time Dependent Problems and Difference Methods (1995).
- U. Asher and L. Petzold:
Computer Methods for Ordinary Differential Equatios and
Differential-Algebraic Equations; Publisher: SIAM.
- J. Strikverda: Finite Difference Schemes and Partial
Differential Equations (1989),Publisher: Wadsworth &
Brooks/Cole Advanced Books & Software.
- W.L. Briggs, V.E. Henson and S.F. McCormick: A Multigrid
Tutorial
(2000), 2nd Edition. Publisher: SIAM.
- K. W. Morton & D. F. Mayers: Numerical Solution of Partial
Differential Equations (1994); Publisher: Cambridge University
Press.
- R.J. LeVeque: Numerical Methods for Conservation Laws
(1992), Publisher: Birkhauser.
- Barry F. Smith, Peter E. Bjrstad and William D. Gropp:
Domain Decomposition: Parallel multilevel Methods
for Elliptic Differential Equations ;
Publisher: Cambridge University Press.
- C. Johnson: Numerical Solution of Partial Differential Equations
by the Finite Element Method (1987), Cambridge University Press.
- S. C. Brenner and L. R. Scott: The Mathematical Theory of
Finite Element Methods (1998). Publisher: Springer-Verlag.