The application and numerical solution of integral equations, R.S. Anderssen; F.R. de Hoog; M.A. Lukas
Автор: Michael A. Golberg Название: Numerical Solution of Integral Equations ISBN: 0306432625 ISBN-13(EAN): 9780306432620 Издательство: Springer Рейтинг: Цена: 27245.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Hackbusch Wolfgang Название: Integral Equations / Theory and Numerical Treatment ISBN: 3764328711 ISBN-13(EAN): 9783764328719 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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 / NystrГ¶m). Also the multigrid method for the solution of discrete equations is analysed. The most prominent application of integral equations occurs in the use of the boundary element method, which here is discussed from the numerical point of view in particular. New results about numerical integration and the panel clustering technique are included. Many chapters have an introductory character, while special subsections give more advanced information. Intended readers are students of mathematics as well as postgraduates.
Описание: A matrix oriented introduction to domain decomposition methodology. It discusses topics including hybrid formulations, Schwarz, substructuring and Lagrange multiplier methods for elliptic equations, computational issues, least squares-control methods, multilevel methods, non-self adjoint problems, parabolic equations and saddle point applications.
Автор: Atkinson, Kendall E. Han, Weimin Stewart, David E. Название: Numerical solution of ordinary differential equations ISBN: 047004294X ISBN-13(EAN): 9780470042946 Издательство: Wiley Рейтинг: Цена: 16149.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This precise and highly readable book provides a complete and concise introduction to classical topics in the numerical solution of ordinary differential equations (ODEs). It contains many up-to-date references to both analytical and numerical ODE literature while offering new unifying views on different problem classes.
Описание: This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state.
Автор: Smith, G. D. Название: Numerical Solution of Partial Differential Equations ISBN: 0198596502 ISBN-13(EAN): 9780198596509 Издательство: Oxford Academ Рейтинг: Цена: 9662.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Substantially revised, this authoritative study covers the standard finite difference methods of parabolic, hyperbolic, and elliptic equations, and includes the concomitant theoretical work on consistency, stability, and convergence. The new edition includes revised and greatly expanded sections on stability based on the Lax-Richtmeyer definition, the application of Pade approximants to systems of ordinary differential equations for parabolic and hyperbolicequations, and a considerably improved presentation of iterative methods. A fast-paced introduction to numerical methods, this will be a useful volume for students of mathematics and engineering, and for postgraduates and professionals who need a clear, concise grounding in this discipline.
Описание: This book is intended to make recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership, and to familiarize readers with RODEs themselves as well as the closely associated theory of random dynamical systems.
Описание: One of the current main challenges in the area of scientific computingГЇВїВЅ is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs.
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