Author: Fritz Schwarz
Publisher: Springer Science & Business Media
ISBN: 3709112850
Category : Computers
Languages : en
Pages : 238
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Book Description
The central subject of the book is the generalization of Loewy's decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available in the literature are obtained algorithmically. The border of decidability for generating a Loewy decomposition are explicitly stated. The methods applied may be generalized in an obvious way to equations of higher order, in more variables or systems of such equations.
Author: Fritz Schwarz
Publisher: Springer Science & Business Media
ISBN: 3709112869
Category : Computers
Languages : en
Pages : 238
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Book Description
The central subject of the book is the generalization of Loewy's decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available in the literature are obtained algorithmically. The border of decidability for generating a Loewy decomposition are explicitly stated. The methods applied may be generalized in an obvious way to equations of higher order, in more variables or systems of such equations.
Author: Fritz Schwarz
Publisher: CRC Press
ISBN: 9781584888901
Category : Mathematics
Languages : en
Pages : 448
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Book Description
Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonlinear ordinary differential equations (ODEs), it was rarely used for practical problems because of the massive amount of calculations involved. But with the advent of computer algebra programs, it became possible to apply Lie theory to concrete proble
Author: Edgar Girard Croker Poole
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 220
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Book Description
Author: J. Chazarain
Publisher: Elsevier
ISBN: 9780080875354
Category : Computers
Languages : en
Pages : 558
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Book Description
Introduction to the Theory of Linear Partial Differential Equations
Author: Earl A. Coddington
Publisher: SIAM
ISBN: 0898713889
Category : Mathematics
Languages : en
Pages : 341
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Book Description
A thorough development of the main topics in linear differential equations with applications, examples, and exercises illustrating each topic.
Author: Refaat El Attar
Publisher: Lulu.com
ISBN: 1411639200
Category : Mathematics
Languages : en
Pages : 186
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Book Description
An extended introduction to ordinary differential equations. This book can be used as self study material. It contains a little bit of theory and lot of solved examples as well as tons of exercises to test your ability to solve problems using the techniques presented in the text.
Author: Cornelius Lanczos
Publisher: Courier Corporation
ISBN: 9780486680354
Category : Mathematics
Languages : en
Pages : 604
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Book Description
The basic and characteristic properties of linear differential operators are explored in this graduate-level text. No specific knowledge beyond the usual introductory courses is necessary. Includes 350 problems and solution.
Author: Daniel Zwillinger
Publisher: CRC Press
ISBN: 100046816X
Category : Mathematics
Languages : en
Pages : 737
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Book Description
Through the previous three editions, Handbook of Differential Equations has proven an invaluable reference for anyone working within the field of mathematics, including academics, students, scientists, and professional engineers. The book is a compilation of methods for solving and approximating differential equations. These include the most widely applicable methods for solving and approximating differential equations, as well as numerous methods. Topics include methods for ordinary differential equations, partial differential equations, stochastic differential equations, and systems of such equations. Included for nearly every method are: The types of equations to which the method is applicable The idea behind the method The procedure for carrying out the method At least one simple example of the method Any cautions that should be exercised Notes for more advanced users The fourth edition includes corrections, many supplied by readers, as well as many new methods and techniques. These new and corrected entries make necessary improvements in this edition.
Author: Richard S. Palais
Publisher: American Mathematical Soc.
ISBN: 0821821385
Category : Mathematics
Languages : en
Pages : 329
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Book Description
This book provides a conceptual introduction to the theory of ordinary differential equations, concentrating on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics, along with a discussion of chaos theory and ecological models. It has a unified and visual introduction to the theory of numerical methods and a novel approach to the analysis of errors and stability of various numerical solution algorithms based on carefully chosen model problems. While the book would be suitable as a textbook for an undergraduate or elementary graduate course in ordinary differential equations, the authors have designed the text also to be useful for motivated students wishing to learn the material on their own or desiring to supplement an ODE textbook being used in a course they are taking with a text offering a more conceptual approach to the subject.
