Author: Grégoire Allaire
Publisher: Oxford University Press, USA
Keywords: numerical, mathematics, scientific, computation, simulation, mathematical, analysis, optimization, introduction, modelling
Number of Pages: 472
Published: 2007-07-19
List price: $75.00
ISBN-10: 0199205221
ISBN-13: 9780199205226
This text, based on the author’s teaching at Ecole Polytechnique, introduces the reader to the world of mathematical modelling and numerical simulation. Covering the finite difference method; variational formulation of elliptic problems; Sobolev spaces; elliptical problems; the finite element method; Eigenvalue problems; evolution problems; optimality conditions and algorithms and methods of operational research, and including a several exercises throughout, this is an ideal text for advanced undergraduate students and graduates in applied mathematics, engineering, computer science, an
Author: Jan Modersitzki
Publisher: Oxford University Press, USA
Keywords: numerical, scientific, computation, mathematics, registration, methods, image
Number of Pages: 216
Published: 2004-02-12
List price: $140.00
ISBN-10: 0198528418
ISBN-13: 9780198528418
Based on the author’s lecture notes and research, this well-illustrated and comprehensive text is one of the first to provide an introduction to image registration with particular emphasis on numerical methods in medical imaging. Ideal for researchers in industry and academia, it is also a suitable study guide for graduate mathematicians, computer scientists, engineers, medical physicists and radiologists. Image registration is utilized whenever information obtained from different viewpoints needs to be combined or compared and unwanted distortion needs to be eliminated. For example, CCT
Author: Wolfgang Hackbusch
Publisher: Birkhäuser Basel
Keywords: numerical, series, mathematics, international, treatment, theory, integral, equations
Number of Pages: 380
Published: 1995-06-01
List price: $79.95
ISBN-10: 3764328711
ISBN-13: 9783764328719
Volterra and Fredholm integral equations form the domain of this book. Special chapters are devoted to Abel’s integral equations and the singular integral equation with the Cauchy kernel; others focus on the integral equation method and the boundary element method (BEM). While a small section affords some theoretical grounding in integral equations (covering existence, regularity, etc.), the larger part of the book is devoted to a description and analysis of the discretisation methods (Galerkin / collocation / Nyström). Also the multigrid method for the solution of discrete equations is
Author: Peter Linz
Publisher: Society for Industrial Mathematics
Keywords: numerical, applied, mathematics, studies, volterra, methods, analytical, equations
Number of Pages: 240
Published: 1987-01-01
List price: $78.00
ISBN-10: 0898711983
ISBN-13: 9780898711981
Presents an aspect of activity in integral equations methods for the solution of Volterra equations for those who need to solve real-world problems. Since there are few known analytical methods leading to closed-form solutions, the emphasis is on numerical techniques. The major points of the analytical methods used to study the properties of the solution are presented in the first part of the book. These techniques are important for gaining insight into the qualitative behavior of the solutions and for designing effective numerical methods. The second part of the book is devoted entirely to nu
Author: L. Quartapelle
Publisher: Birkhäuser Basel
Keywords: numerical, international, series, mathematics, equations, stokes, solution, incompressible, navier
Number of Pages: 308
Published: 1993-09-01
List price: $180.00
ISBN-10: 3764329351
ISBN-13: 9783764329358
This book presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical solution of incompressible Navier-Stokes equations, using either finite differences, finite elements or spectral approximations. For each formulation, a complet
Author: Robert Vichnevetsky
Publisher: Society for Industrial Mathematics
Keywords: numerical, studies, applied, equations, mathematics, hyperbolic, analysis, approximations, fourier
Number of Pages: 152
Published: 1987-01-01
List price: $59.00
ISBN-10: 0898713927
ISBN-13: 9780898713923
There has been a growing interest in the use of Fourier analysis to examine questions of accuracy and stability of numerical methods for solving partial differential equations. This kind of analysis can produce particularly attractive and useful results for hyperbolic equations. This book provides useful reference material for those concerned with computational fluid dynamics: for physicists and engineers who work with computers in the analysis of problems in such diverse fields as hydraulics, gas dynamics, plasma physics, numerical weather prediction, and transport processes in engineering
Authors:Garrett Birkhoff, Robert E. Lynch,
Publisher: Society for Industrial Mathematics
Keywords: numerical, applied, mathematics, studies, problems, solution, elliptic
Number of Pages: 331
Published: 1987-01-01
List price: $79.50
ISBN-10: 0898714761
ISBN-13: 9780898714760
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.
