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Ditemukan 22 dokumen yang sesuai dengan query

Fokas, Athanassios S., 1952-

A unified approach to boundary value problems

" This book presents a new approach to analyzing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, a method that the author first introduced in 1997 and which is based on ideas of the inverse scattering transform. This method is unique in also yielding novel integral representations for the explicit solution of linear boundary value problems, which include such classical problems as the heat equation on a finite interval and the Helmholtz ... "

Philadelphia: Society for Industrial and Applied Mathematics, 2008

e20450705

eBooks Universitas Indonesia Library

Ascher, Uri M., 1946-

Numerical solution of boundary value problems for ordinary differential equations

" This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject ... "

Philadelphia: Society for Industrial and Applied Mathematics, 1995

e20450902

eBooks Universitas Indonesia Library

Stakgold, Ivar

Boundary value problems of mathematical physics volume I, volume II

" For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems using Green's functions and using eigenvalue expansions. Now a part of SIAM's Classics series, these volumes contain a large number ... "

Philadelphia : Society for Industrial and Applied Mathematics, 2000

e20442710

eBooks Universitas Indonesia Library

Vasil`eva, Adelaida Borisovna, 1926-

The boundary function method for singular perturbation problems

" This is the first book published in English devoted solely to the boundary function method, which is one of the asymptotic methods. This method provides an effective and simple way to obtain asymptotic approximations for the solutions of certain ordinary and partial differential equations containing small parameters in front of the highest derivatives. These equations, called singularly perturbed equations, are often used in modeling. In addition to numerous examples, the book includes discussions on singularly ... "

Philadelphia: Society for Industrial and Applied Mathematics, 1995

e20448595

eBooks Universitas Indonesia Library

Nau, Tobias

Lp-theory of cylindrical boundary value problems : an operator-valued fourier multiplier and functional calculus approach

" Tobias Nau addresses initial boundary value problems in cylindrical space domains with the aid of modern techniques from functional analysis and operator theory. In particular, the author uses concepts from Fourier analysis of functions with values in Banach spaces and the operator-valued functional calculus of sectorial operators. He applies abstract results to concrete problems in cylindrical space domains such as the heat equation subject to numerous boundary conditions and equations arising from fluid dynamics ... "

Wiesbaden: Springer, 2012

e20420482

eBooks Universitas Indonesia Library

Keller, Herbert B.

Numerical solution of two point boundary value problems

" Lectures on a unified theory of and practical procedures for the numerical solution of very general classes of linear and nonlinear two point boundary-value problems ... "

Philadelphia: Society for Industrial and Applied Mathematics, 1990

e20450622

eBooks Universitas Indonesia Library