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.