A study of the art and science of solving elliptic problems numerically, with an emphasis on problems that have important scientific and engineering applications, and that are solvable at moderate cost on computing machines.
This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems.
This text provides an application oriented introduction to the numerical methods for partial differential equations.
This text provides an application oriented introduction to the numerical methods for partial differential equations.
This book presents two kinds of numerical methods for solving elliptic boundary value problems with singularities.
This volume provides a case study in scientific computing?the art of utilizing physical intuition, mathematical theorems and algorithms, and modern computer technology to construct and explore realistic models of problems arising in the ...
... Equations in Infinite Dimensional Spaces Alan C. Newell, Solitons in Mathematics and Physics Pranab Kumar Sen, ... Scientific Computation on Mathematical Problems and Conjectures Ingrid Daubechies, Ten Lectures on Wavelets Stephen ...
This book includes theory, methods and software for elliptic (steady-state) and parabolic (diffusion) partial differential equations, plus linear algebra and error estimators.
The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject.
The final chapter deals with the basic semiconductor device equations. This book is a valuable resource for electrical and computer engineers, scientists, computer programmers, pure mathematicians, and research workers.
Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators - Theory & Applications