References for Math 572

Numerical Methods for ODEs
Ascher, U.M. and Petzold, L.R. (1998) Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations, SIAM
Gear, C.W. (1971) Numerical Initial Value Problems in Ordinary Differential Equations, Prentice-Hall
Lambert, J.D. (1991) Numerical Methods for Ordinary Differential Systems, Wiley
Shampine, L.F. (1994) Numerical Solution of Ordinary Differential Equations, Chapman & Hall

Theory of ODEs
Coddington, E.A. and Levinson, N. (1955) Theory of Ordinary Differential Equations, McGraw-Hill

Numerical Methods for PDEs
LeVeque, R.J. (2007) Finite Difference Methods for Ordinary and Partial Differential Equations, SIAM
Morton, K.W. and Mayers, D.F. (1994) Numerical Solution of Partial Differential Equations, Cambridge University Press
Richtmyer, R.D. and Morton, K.W. (1967) Difference Methods for Initial Value Problems, Wiley-Interscience
Strikwerda, J.C. (1989) Finite Difference Schemes and Partial Differential Equations, Wadsworth & Brooks/Cole

Theory of PDEs
Evans, L.C. (2002) Partial Differential Equations, AMS
Garabedian, P. (1986) Partial Differential Equations, Chelsea
John, F. (1978) Partial Differential Equations, Springer-Verlag