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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1976.
|
| Colección: | Mathematics in science and engineering ;
v. 127. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 008 | 101013s1976 nyu ob 001 0 eng d | ||
| 010 | |z 76046563 | ||
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| 020 | |z 9780121614508 | ||
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| 100 | 1 | |a Carroll, Robert W., |d 1930-2012. | |
| 245 | 1 | 0 | |a Singular and degenerate Cauchy problems / |c R.W. Carroll, R.E. Showalter. |
| 260 | |a New York : |b Academic Press, |c 1976. | ||
| 300 | |a 1 online resource (viii, 333 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Mathematics in science and engineering ; |v v. 127 | |
| 504 | |a Includes bibliographical references (pages 276-327) and index. | ||
| 505 | 0 | |a 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. Expressions for general resolvants -- 2.5. The Euclidean case plus generalizations -- Chapter 3. Degenerate Equations with Operator Coefficients -- 3.1. Introduction -- 3.2. The Cauchy problem by spectral techniques -- 3.3. Strongly regular equations -- 3.4. Weakly regular equations -- 3.5. Linear degenerate equations -- 3.6. Semilinear degenerate equations -- 3.7. Doubly nonlinear equations -- Chapter 4. Selected Topics -- 4.1. Introduction -- 4.2. Huygens' principle -- 4.3. The generalized radiation problem of Weinstein -- 4.4. Improperly posed problems -- 4.5. Miscellaneous problems -- REFERENCES -- INDEX. | |
| 520 | |a 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 for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and<BR id="CRLF">methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.<BR id="CRLF"><BR id="CRLF">As a result, the book represents a blend of new methods in general computational analysis, <BR id="CRLF">and specific, but also generic, techniques for study of systems theory ant its particular<BR id="CRLF">branches, such as optimal filtering and information compression. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 650 | 0 | |a Cauchy problem. | |
| 650 | 6 | |a Probl�eme de Cauchy. |0 (CaQQLa)201-0022138 | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x Partial. |2 bisacsh | |
| 650 | 7 | |a Cauchy problem |2 fast |0 (OCoLC)fst00849796 | |
| 650 | 7 | |a Cauchy-Anfangswertproblem |2 gnd |0 (DE-588)4147404-1 | |
| 650 | 1 | 7 | |a Probleem van Cauchy. |2 gtt |
| 650 | 7 | |a Cauchy, Probl�eme de. |2 ram | |
| 700 | 1 | |a Showalter, R. E. |q (Ralph Edwin), |d 1942- | |
| 776 | 0 | 8 | |i Print version: |a Carroll, Robert Wayne, 1930- |t Singular and degenerate Cauchy problems. |d New York : Academic Press, 1976 |z 9780121614508 |w (DLC) 76046563 |w (OCoLC)2525141 |
| 830 | 0 | |a Mathematics in science and engineering ; |v v. 127. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780121614508 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/127 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=127 |z Texto completo |