Develops and analyzes numerical methods for evolutionary differential equations for a unified perspective
Emphasizes finite difference and finite volume methods for both partial and ordinary differential equations
Discusses smooth and nonsmooth solutions for various PDE types and initial value ODEs
Includes practical introduction to geometric integration methods
Bridges theory and practice with algorithm development, efficiency, and performance analysis
Summarized by Shop
Methods for the numerical simulation of dynamic mathematical models have been the focus of intensive research for well over 60 years, and the demand for better and more efficient methods has grown as the range of applications has increased. Mathematical models involving evolutionary partial differential equations (PDEs) as well as ordinar