Stakgold, Ivar. creator Holst, Michael J. text bibliography Electronic books. nju Hoboken, N.J Wiley ©2011 2011 3rd ed. monographic eng

electronic resource

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 Stakgold, Ivar. Hoboken, NJ : Wiley, ©2011 3rd ed. (DLC) 2010023290 (OCoLC)639574774 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 20171119090553.0 ocn711779377 eng