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Singular and degenerate Cauchy problems /

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrang...

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Bibliographic Details
Main Authors: Carroll, Robert W., 1930-2012
Corporate Authors: Elsevier Science & Technology
Group Author: Showalter, R. E. Ralph Edwin, 1942
Published: Academic Press,
Publisher Address: New York :
Publication Dates: 1976.
Literature type: eBook
Language: English
Series: Mathematics in science and engineering ; v. 127
Subjects:
Cauchy problem
Mathematics
Cauchy, Proble me de
MATHEMATICS > Differential Equations > Partial
Probleem van Cauchy
Cauchy-Anfangswertproblem
Electronic books
Online Access: http://www.sciencedirect.com/science/bookseries/00765392/127
Summary: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;<BR id="CRLF">methods
Carrier Form: 1 online resource (viii, 333 pages).
Bibliography: Includes bibliographical references (pages 276-327) and index.
ISBN: 9780080956367
008095636X
Index Number: QA374
CLC: O175.2
Contents: Cover13; -- Singular and Degenerate Cauchy Problems -- Copyright Page -- Contents -- Preface -- Chapter 1. Singular Partial Differential Equations of EPD Type -- 1.1. Examples -- 1.2. Mean values in Rn -- 1.3. The Fourier method -- 1.4. Connection formulas and properties of solutions for EPD equations in D' and S' -- 1.5. Spectral techniques and energy methods in Hilbert space -- 1.6. EPD equations in general spaces -- 1.7. Transmutation -- Chapter 2. Canonical Sequences of Singular Cauchy Problems -- 2.1. The rank one situation -- 2.2. Resolvants -- 2.3. Examples with m2945; = 0 -- 2.4. Exp

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