Parabolic Equations in one space variable
2-D and 3D parabolic Equations
Hyperbolic Equations in one space dimensions
Consistency Convergence and Stability
Linear Second Order Elliptic Equations in Two Dimensions
Iterative Solution of Linear Algebraic Equations

This is the second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, simplistic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods; and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments.