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Many books have been written on ?nite difference methods (FDM), but there are good reasons to write still another one. The main reason is that even if...Savoir plus
Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations...Savoir plus
Many mathematicians, scientists, and engineers are familiar with the Fast Fourier Transform, a method based upon the Discrete Fourier Transform. Perha...Savoir plus
This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and c...Savoir plus
The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define ...Savoir plus
ELLP ACK is a many faceted system for solving elliptic partial differential equations. It is a forerunner of the very high level, problem solving envi...Savoir plus
This book offers the first comprehensive account of how the logarithmic norm is used for matrices, nonlinear maps and linear differential operators, w...Savoir plus
This edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusi...Savoir plus
1. 1. Overview of Numerical Quadrature The numerical evaluation of integrals is one of the oldest problems in mathematics. One can trace its roots bac...Savoir plus
This book is motivated largely by a desire to solve shape optimization prob lems that arise in applications, particularly in structural mechanics and ...Savoir plus
Stochastic numerical methods play an important role in large scale computations in the applied sciences. The first goal of this book is to give a math...Savoir plus
This book presents a systematic approach to the numerical analysis of several carefully selected classes of optimal control problems governed by ellip...Savoir plus
This book offers a comprehensive presentation of numerical methods for elliptic boundary value problems that satisfy discrete maximum principles (DMPs...Savoir plus
"Whatever regrets may be, we have done our best." (Sir Ernest Shack 0 leton, turning back on 9 January 1909 at 88 23' South.) Brahms struggled for 20 ...Savoir plus
This book is the first publication in the world as a monograph on the concerned research fieldNakao and Plum are pioneers of the numerical verificatio...Savoir plus
This book introduces the concepts and methodologies related to the modelling of the complex phenomena occurring in materials processing. After a short...Savoir plus
In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathemat...Savoir plus
The Eighth EPSRC Numerical Analysis Summer School was held at the Uni versity of Leicester from the 5th to the 17th of July, 1998. This was the third ...Savoir plus
Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations...Savoir plus
This book examines numerical methods for two-phase incompressible flow problems. It details the complete simulation track, from modeling via developme...Savoir plus
This book provides the readers numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Emphasis is put on c...Savoir plus
This book is the first publication in the world as a monograph on the concerned research fieldNakao and Plum are pioneers of the numerical verificatio...Savoir plus
This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boun...Savoir plus