K. Atkinson: An Introduction to Numerical Analysis, Wiley, (2nd ed.), 1989. P.G. Ciarlet and J. L. Lions (eds), Handbook of Numerical Analysis, North Holland, 1990. S. Conte and C. de Boor: Elementary Numerical Analysis, McGraw-Hill, 1980. G. Dahlquist and A. Bjorck: Numerical Methods, Prentice Hall, 1974. P. Deuflhard and A. Hohmann, Numerical Analysis in Modern Scientific Computing, 2nd ed., Springer, 2003. W. Gautschi: Numerical Analysis: an introduction, Birkhauser, 1997. M. T. Heath, Scientific Computing: An Introductory Survey, 2nd ed., McGraw-Hill, 2002. E. Isaacson and H. Keller: Analysis of Numerical Methods, Wiley, 1966 (or Dover 1994). D. Kahaner, C. Moler, and S. Nash: Numerical Methods and Software, Prentice-Hall, 1989. D. Kincaid and W. Cheney: Numerical Analysis: Mathematics of Scientific Computing, Brooks/Cole, 1996. A. Quarteroni, R. Sacco, and F. Saleri: Numerical Mathematics, 2nd Edition, Springer, 2004. A. Ralston and P. Rabinowitz: A First Course in Numerical Analysis, McGraw-Hill, 1978. L. Shampine, Allen, and Pruess: Fundamentals of Numerical Computing, G. W. Stewart: Afternotes on Numerical Analysis, SIAM, 1996. G. W. Stewart: Afternotes goes to Graduate School Lectures on Advanced Numerical Analysis, SIAM, 1998. J. Stoer and R. Bulirsch: Introduction to Numerical Analysis, Springer-Verlag, 1993. E. Suli and D. Mayers: An Introduction to Numerical Analysis, Cambridge, 2003.
O. Axelsson and V.A. Barker: Finite element solution of boundary value problems: theory and computation, Academic Press, 1984. R. E. Bank: PLTMG A Software Package for Solving Elliptic Partial Differential Equations User's Guide 8.0, SIAM 1998. M. Bernadou: Finite Element Methods for Thin Shell Problems, John Wiley, 1996. D. Braess: Finite Elements: Theory, fast solvers, and applications in solid mechanics, Cambridge University Press, 1997. S. Brenner and L. R. Scott: The Mathematical Theory of Finite Element Methods, Springer-Verlag, 1994. F. Brezzi and M. Fortin: Mixed and Hybrid Finite Element Methods, Springer-Verlag, 1991. P. G. Ciarlet: The Finite Element Method for Elliptic Problems, North Holland, 1980. P. G. Ciarlet and J. L. Lions (eds): Handbook of Numerical Analysis, Volumes I-VI, Elsevier. K. Eriksson, D. Estep, P. Hansbo, C. Johnson: Computational Differential Equations, Cambridge University Press, 1996. V. A. Girault and P-A. Raviart: Finite Element Methods for Navier-Stokes Equations, Springer-Verlag, 1986. M. Gunzburger, Finite Element Methods for Viscous Incompressible Flows, Academic Press, 1989. T. J. R. Hughes, The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Prentice Hall, 1987. C. Johnson: Numerical Solutions of Partial Differential Equations by the Finite Element Method, Cambridge University Press, 1987. R. J. LeVeque, Finite Volume Methods for Hyperbolic Problems, Cambridge, 2002. G. Strang and G. Fix: An Analysis of the Finite Element Method, Prentice-Hall, 1973. B. Szab\'o and I. Babu\u ska: Finite Element Analysis L. N. Trefethen: Spectral Methods in MATLAB, SIAM 2000. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method (4th edition), McGraw Hill, 1989.
S. K. Godunov and V. S. Ryabenki, Difference Schemes: an introduction to the underlying theory, North Holland, 1987. B. Gustafsson, H-O. Kreiss, and J. Oliger, Time dependent problems and difference methods, Wiley, 1995. C. Hall and T. Porsching: Numerical Analysis of Partial Differential Equations, Prentice Hall, 1990. R. J. LeVeque, Numerical methods for conservation laws, Birkhauser Verlag, 1992. I. Iserles, A First Course in the Numerical Analysis of Differential Equations, Cambridge University Press, 1996. A. Quarteroni and A. Valli, Numerical approximation of partial differential equations, Springer-Verlag, 1994. R. D. Richtmyer and K. W. Morton: Difference Methods for Initial Value Problems, Wiley-Interscience, 1967. G. Sod: Numerical Methods in Fluid Mechanics: Initial and Initial Boundary Value Problems, Cambridge University Press, 1985. J. Strikwerda: Finite Difference Schemes and Partial Differential Equations, Wadsworth and Brooks/Cole, 1989. J. W. Thomas, Numerical Partial Differential Equations: Finite Difference Methods, Springer-Verlag, 1995.
J. H. Bramble: Multigrid methods, Pitman, 1993. W. L. Briggs: A Multigrid Tutorial, SIAM, 1987. W. Hackbusch: Multi-Grid Methods and Applications, Springer-Verlag, 1986. B. Smith, P. Bjorstad, and W. Gropp: Domain Decomposition, Cambridge University Press, 1996. J. Xu: Iterative methods by space decomposition and subspace corrections, SIAM Review 34 (1992), 581-613.
T. Davis and K. Sigmon: MATLAB Primer, Seventh Edition, Chapman and Hall, 2004. D. J. Higham and N. J. Higham: MATLAB Guide, Second Edition, SIAM, 2005. C. Moler: Numerical Computing with MATLAB, SIAM, 2004. A. Quarteroni and F. Saleri, Scientific Computing with Matlab, Springer, 2003.