Differential Equations category: 700 books
Mathematical Challenges in a New Phase of Materials Science
Kyoto, Japan, August 2014
Language: English
Release Date: July 11, 2016
This volume comprises eight papers delivered at the RIMS International Conference "Mathematical Challenges in a New Phase of Materials Science", Kyoto, August 4–8, 2014. The contributions address subjects in defect dynamics, negatively curved carbon crystal, topological analysis of di-block...
Nonlinear Inclusions and Hemivariational Inequalities
Models and Analysis of Contact Problems
Language: English
Release Date: September 18, 2012
This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of contact mechanics. The work covers both abstract results in the area of nonlinear inclusions, hemivariational inequalities as well as the study of specific contact problems,...
by Juncheng Wei, Matthias Winter
Language: English
Release Date: September 18, 2013
Language: English
Release Date: September 18, 2013
This monograph is concerned with the mathematical analysis of patterns which are encountered in biological systems. It summarises, expands and relates results obtained in the field during the last fifteen years. It also links the results to biological applications and highlights their relevance to...
by Roger Lewandowski, Tomás Chacón Rebollo
Language: English
Release Date: June 17, 2014
Language: English
Release Date: June 17, 2014
With applications to climate, technology, and industry, the modeling and numerical simulation of turbulent flows are rich with history and modern relevance. The complexity of the problems that arise in the study of turbulence requires tools from various scientific disciplines, including mathematics,...
Error Estimates for Well-Balanced Schemes on Simple Balance Laws
One-Dimensional Position-Dependent Models
Language: English
Release Date: October 23, 2015
This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance...
by Andreas Kirsch
Language: English
Release Date: March 24, 2011
Language: English
Release Date: March 24, 2011
This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography.
The aim of this book is twofold: in...
Level Set and PDE Based Reconstruction Methods in Imaging
Cetraro, Italy 2008, Editors: Martin Burger, Stanley Osher
Language: English
Release Date: October 17, 2013
This book takes readers on a tour through modern methods in image analysis and reconstruction based on level set and PDE techniques, the major focus being on morphological and geometric structures in images. The aspects covered include edge-sharpening image reconstruction and denoising, segmentation...
New Trends in Approximation Theory
In Memory of André Boivin
Language: English
Release Date: March 28, 2018
The international conference entitled "New Trends in Approximation Theory" was held at the Fields Institute, in Toronto, from July 25 until July 29, 2016. The conference was fondly dedicated to the memory of our unique friend and colleague, André Boivin, who gave tireless service in Canada...
by Sorin G. Gal
Language: English
Release Date: July 8, 2014
Language: English
Release Date: July 8, 2014
This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators. The book is divided into three chapters. First, the results for the Schurer-Faber operator, Beta operators of first kind, Bernstein-Durrmeyer-type operators and Lorentz operator are...
High Order Nonlinear Numerical Schemes for Evolutionary PDEs
Proceedings of the European Workshop HONOM 2013, Bordeaux, France, March 18-22, 2013
Language: English
Release Date: May 19, 2014
This book collects papers presented during the European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs (HONOM 2013) that was held at INRIA Bordeaux Sud-Ouest, Talence, France in March, 2013. The central topic is high order methods for compressible fluid dynamics. In the workshop,...
by Tadahisa Funaki
Language: English
Release Date: December 27, 2016
Language: English
Release Date: December 27, 2016
Interfaces are created to separate two distinct phases in a situation in which phase coexistence occurs. This book discusses randomly fluctuating interfaces in several different settings and from several points of view: discrete/continuum, microscopic/macroscopic, and static/dynamic theories. The...
by Juan Carlos De los Reyes
Language: English
Release Date: February 6, 2015
Language: English
Release Date: February 6, 2015
This book introduces, in an accessible way, the basic elements of Numerical PDE-Constrained Optimization, from the derivation of optimality conditions to the design of solution algorithms. Numerical optimization methods in function-spaces and their application to PDE-constrained problems are carefully...
A Simple Introduction to the Mixed Finite Element Method
Theory and Applications
Language: English
Release Date: January 9, 2014
The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a wide class of boundary value problems arising in physics and engineering sciences. The book is based on material that was taught in corresponding...
Scientific Computing
Vol. II - Eigenvalues and Optimization
Language: English
Release Date: May 14, 2018
This is the second of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses more advanced topics than volume one, and is largely not a prerequisite for volume three. This book and its companions show how to determine the quality of...