This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems. Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. Graduate students, researchers and practitioners working in this area will benefit from this book.
First ever comprehensive treatment of moving mesh methods for solving time-dependent Partial Differential EquationsGeneral error analysis for adaptive mesh generation using equidistribution and alignment is coveredNumerous numerical examples and several Matlab codes are included