The topic of this book is the mathematical and numerical analysis of some recent frameworks based on differential equations and their application in the mathema

Introduces recent research results of finite difference methods including important nonlinear evolution equations in applied science. The presented difference s

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear

This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems f

In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The inverse s