Numerical Methods for Elliptic and Parabolic Partial Differential Equations

Focusing on numerical methods for elliptic and parabolic partial differential equations, this graduate-level text integrates theory with practical applications. It explores finite difference, finite element, and finite volume methods, while addressing modern topics like adaptive and multilevel methods. The second edition expands on mixed discretization, broader applications, and enhanced techniques for convection-dominated problems. It serves as a comprehensive resource for mathematics, engineering, and physics students, guiding them in method selection and finite element programming.