MA5233 —– Computational Mathematics （Reference Books）

May 5, 2019

(Semester 1 2016/17)

Reference Books:

  • On numerical analysis:
    • Richard L. Burden and J. Douglas Faires: Numerical Analysis, 10th Edition (2016); 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 (3rd Edition) (1985); Publisher: Oxford University 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.
  • G. Strang: Supplementary readings.