**
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