Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, in

This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the simil

This volume is based on PDE courses given by the authors at the Courant Institute and at the University of Notre Dame, Indiana. Presented are basic methods for

This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element

Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of P