Green's functions and boundary value problems
Stakgold, Ivar.
creator
Holst, Michael J.
text
bibliography
Electronic books.
nju
Hoboken, N.J
Wiley
©2011
2011
3rd ed.
monographic
eng
1 online resource (xxi, 855 pages) : illustrations.
"This Third Edition includes basic modern tools of computational mathematics for boundary value problems and also provides the foundational mathematical material necssary to understand and use the tools. Central to the text is a down-to-earth approach that shows readers how to use differential and integral equations when tackling significant problems in the physical sciences, engineering, and applied mathematics, and the book maintains a careful balance between sound mathematics and meaningful applications. A new co-author, Michael J. Holst, has been added to this new edition, and together he and Ivar Stakgold incorporate recent developments that have altered the field of applied mathematics, particularly in the areas of approximation methods and theory including best linear approximation in linear spaces; interpolation of functions in Sobolev Spaces; spectral, finite volume, and finite difference methods; techniques of nonlinear approximation; and Petrov-Galerkin and Galerkin methods for linear equations. Additional topics have been added including weak derivatives and Sobolev Spaces, linear functionals, energy methods and A Priori estimates, fixed-point techniques, and critical and super-critical exponent problems. The authors have revised the complete book to ensure that the notation throughout remained consistent and clear as well as adding new and updated references. Discussions on modeling, Fourier analysis, fixed-point theorems, inverse problems, asymptotics, and nonlinear methods have also been updated"--Provided by publisher.
Green's functions (intuitive ideas) -- The theory of distributions -- One-dimensional boundary value problems -- Hilbert and Banach spaces -- Operator theory -- Integral equations -- Spectral theory of second-order differential operators -- Partial differential equations -- Nonlinear problems -- Approximation theory and methods.
Ivar Stakgold, Michael Holst.
Includes bibliographical references and index.
Boundary value problems
Green's functions
Mathematical physics
Mathematics
MATHEMATICS
Differential Equations
General
Boundary value problems
Green's functions
Mathematical physics
Green-Funktion
Randwertproblem
Partielle Differentialgleichung
QA379 .S72 2011
515/.35
Green's functions and boundary value problems
Stakgold, Ivar.
Hoboken, NJ : Wiley, ©2011
3rd ed.
(DLC) 2010023290
(OCoLC)639574774
Pure and applied mathematics (John Wiley & Sons : Unnumbered)
9780470906538
0470906537
9780470906521
0470906529
10.1002/9780470906538 Wiley InterScience
http://onlinelibrary.wiley.com/book/10.1002/9780470906538
http://onlinelibrary.wiley.com/book/10.1002/9780470906538
DG1
110407
20170713221237.0
sulb-eb0030817
eng