This text is designed for engineers, scientists, and mathematicians with a background in elementary ordinary differential equations and calculus.
The emphasis in this book is placed on techniques for solving partial differential equations found in physics and engineering but discussions on existence and uniqueness of solutions are included. Several...
The Analysis and Solution of Partial Differential Equations
This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions....
Domain decomposition (DD) methods provide powerful tools for constructing parallel numerical solution algorithms for large scale systems of algebraic equations arising from the discretization of partial differential equations. These methods...
For one semester junior/senior level courses in partial differential equations in departments of Engineering, Physics, Applied Mathematics, Social Science, Biology, and other sciences. Extending beyond the standard heat and wave...
Elementary Partial Differential Equations with Boundary Value Problems
Introduction to Partial Differential Equations and Boundary Value Problems
Numerical Methods for Conservation Laws
Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginning graduate student in applied mathematics and engineering, this text offers...