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Qualitative theory of differential equations
Authors: --- --- ---
ISSN: 00659282 ISBN: 0821845519 0821841831 9780821845516 9780821841839 Year: 1992 Volume: 101 Publisher: Providence, R.I. American Mathematical Society

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Generalized moment methods in electromagnetics : formulation and computer solution of integral equations
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ISBN: 0471514438 Year: 1991 Publisher: New York Chichester Toronto Wiley

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Abstract evolution equations, periodic problems and applications
Authors: ---
ISSN: 02693674 ISBN: 0582096359 9780582096356 Year: 1992 Volume: 279 Publisher: Harlow New York Longman Scientific & Technical Wiley


Book
Periodic motions
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ISBN: 0387942041 9780387942049 Year: 1994 Volume: 104 Publisher: New York Springer

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Numerical methods for singularly perturbed differential equations : Convection-diffusion and flow problems
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ISBN: 3540607188 3662032082 3662032066 9783540607182 Year: 1996 Volume: 24 Publisher: Berlin : Springer,

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This book collects, explains and analyses basic methods and recent results for the successful numerical solution of singularly perturbed differential equations. Such equations model many physical phenomena and their solutions are characterized by the presence of layers. The book is a wide-ranging introduction to the exciting current literature in this area. It concentrates on linear convection-diffusion equations and related nonlinear flow problems, encompassing both ordinary and partial differential equations. While many numerical methods are considered, particular attention is paid to those with realistic error estimates. The book provides a solid and thorough foundation for the numerical analysis and solution of singular perturbation problems.


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Symmetry methods for differential equations
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ISBN: 9780511623967 9780521497039 9780521497862 0521497868 0511623968 Year: 2000 Publisher: Cambridge Cambridge University Press

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Symmetry is the key to solving differential equations. There are many well-known techniques for obtaining exact solutions, but most of them are special cases of a few powerful symmetry methods. Furthermore, these methods can be applied to differential equations of an unfamiliar type; they do not rely on special 'tricks'. Instead, a given differential equation is forced to reveal its symmetries, which are then used to construct exact solutions. This book is a straightforward introduction to the subject, and is aimed at applied mathematicians, physicists, and engineers. The presentation is informal, using many worked examples to illustrate the main symmetry methods. It is written at a level suitable for postgraduates and advanced undergraduates, and is designed to enable the reader to master the main techniques quickly and easily. The book contains methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors.


Book
The computational complexity of differential and integral equations : an information-based approach
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ISBN: 0198535899 Year: 1991 Volume: vol *6 Publisher: Oxford [England] New York Tokyo Oxford University Press

Applications of Lie's theory of ordinary and partial differential equations
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ISBN: 0750305312 0750305304 9780750305310 9780750305303 Year: 1999 Publisher: Bristol IOP


Book
Numerical solution of ordinary differential equations
Authors: ---
ISBN: 0412226502 0412226405 9401079072 9400931298 9780412226502 Year: 1987 Publisher: London

Solving systems of polynomial equations
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ISBN: 0821832514 9780821832516 Year: 2002 Volume: 97 Publisher: Providence, R.I. American Mathematical Society

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