Hilbert Space Methods In Partial Differential Equations
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Hilbert Space Methods in Partial Differential Equations
Author: Ralph E. Showalter
language: en
Publisher: Courier Corporation
Release Date: 2011-09-12
This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
Hilbert Space Methods in Partial Differential Equations
Author: Ralph E. Showalter
language: en
Publisher: Courier Corporation
Release Date: 2010-03-18
This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
Introduction to Partial Differential Equations and Hilbert Space Methods
Author: Karl E. Gustafson
language: en
Publisher: Courier Corporation
Release Date: 1999-01-01
This volume offers an excellent undergraduate-level introduction to the main topics, methods, and applications of partial differential equations. Chapter 1 presents a full introduction to partial differential equations and Fourier series as related to applied mathematics. Chapter 2 begins with a more comprehensive look at the principal method for solving partial differential equations — the separation of variables — and then more fully develops that approach in the contexts of Hilbert space and numerical methods. Chapter 3 includes an expanded treatment of first-order systems, a short introduction to computational methods, and aspects of topical research on the partial differential equations of fluid dynamics. With over 600 problems and exercises, along with explanations, examples, and a comprehensive section of answers, hints, and solutions, this superb, easy-to-use text is ideal for a one-semester or full-year course. It will also provide the mathematically inclined layperson with a stimulating review of the subject's essentials.