Select an Action
Singular and degenerate Cauchy problems
Title:
Singular and degenerate Cauchy problems
Author:
Carroll, Robert W., 1930-2012.
ISBN:
9780080956367
9781282755420
9786612755422
Personal Author:
Publication Information:
New York : Academic Press, 1976.
Physical Description:
1 online resource (viii, 333 pages)
Series:
Mathematics in science and engineering ; v. 127
Mathematics in science and engineering ; v. 127.
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. 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.
Abstract:
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.
Genre:
Added Author:
Electronic Access:
ScienceDirect https://www.sciencedirect.com/science/book/9780121614508 ScienceDirect https://www.sciencedirect.com/science/bookseries/00765392/127 ScienceDirect https://www.sciencedirect.com/science/publication?issn=00765392&volume=127Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| QA374 .C38 1976 EB | 1192294-1001 | Elsevier E-Book Collections | Searching... |
On Order
Select a list
Make this your default list.
The following items were successfully added.
There was an error while adding the following items. Please try again.
:
Select An Item
Data usage warning: You will receive one text message for each title you selected.
Standard text messaging rates apply.