Numerical Integration of Differential Equations and Large Linear Systems, J. Hinze

Автор: Strang
Название: Differential Equations and Linear Algebra
ISBN: 0980232791 ISBN-13(EAN): 9780980232790
Издательство: Cambridge Academ
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Цена: 60180.00 T
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Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Автор: Xie
Название: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
Издательство: Cambridge Academ
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Цена: 63360.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.

Автор: Hairer, E.
Название: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
ISBN: 3540306633 ISBN-13(EAN): 9783540306634
Издательство: Springer
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Цена: 149060.00 T
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Описание: This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.

Автор: Werner Balser
Название: Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
ISBN: 0387986901 ISBN-13(EAN): 9780387986906
Издательство: Springer
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Цена: 121110.00 T
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Описание: Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. This book presents the classical theory of meromorphic systems of ODE, in the light of the achievements in the theory of summability of formal power series.

Автор: Protter, Philip
Название: Stochastic integration and differential equations
ISBN: 3642055605 ISBN-13(EAN): 9783642055607
Издательство: Springer
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Цена: 79190.00 T
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Описание: Chapter 4 treats sigma martingales (important in finance theory) and gives a more comprehensive treatment of martingale representation, including both the Jacod-Yor theory and Emery`s examples of martingales that actually have martingale representation (thus going beyond the standard cases of Brownian motion and the compensated Poisson process).

Автор: Bluman, George W. Anco, Stephen C.
Название: Symmetry and integration methods for differential equations
ISBN: 1441931473 ISBN-13(EAN): 9781441931474
Издательство: Springer
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Цена: 153720.00 T
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Описание: This text discusses Lie groups of transformations and basic symmetry methods for solving ordinary and partial differential equations. It places emphasis on explicit computational algorithms to discover symmetries admitted by differential equations and to construct solutions resulting from symmetries.

Автор: J. C. Butcher
Название: Numerical Methods for Ordinary Differential Equations
ISBN: 0471967580 ISBN-13(EAN): 9780471967583
Издательство: Wiley
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Цена: 152010.00 T
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Описание: "Numerical Analysis of Ordinary Differential Equations."

Автор: Protter Philip E.
Название: Stochastic Integration and Differential Equations / Second Edition, Version 2.1
ISBN: 3540003134 ISBN-13(EAN): 9783540003137
Издательство: Springer
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Цена: 79190.00 T
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Описание: Includes the proof of the fundamental Doob-Meyer decomposition theorem. This book contains the more general version of the Girsanov theorem due to Lenglart and martingale representation, including both the Jacod-Yor theory and Emery`s examples of martingales that actually have martingale representation.

Автор: Van der Put Marius , Singer Michael F.
Название: Galois Theory of Linear Differential Equations
ISBN: 3540442286 ISBN-13(EAN): 9783540442288
Издательство: Springer
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Цена: 93130.00 T
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Описание: Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used. This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students.

Автор: Sigrun Bodine; Donald A. Lutz
Название: Asymptotic Integration of Differential and Difference Equations
ISBN: 3319182471 ISBN-13(EAN): 9783319182476
Издательство: Springer
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Цена: 65210.00 T
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Описание: This book presents the theory of asymptotic integration for both linear differential and difference equations.

Автор: Langtangen Hans P., Tveito Aslak
Название: Advanced Topics in Computational Partial Differential Equations / Numerical Methods and Diffpack Programming
ISBN: 3540014381 ISBN-13(EAN): 9783540014386
Издательство: Springer
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Цена: 93130.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book is suitable for readers with a background in basic finite element and finite difference methods for partial differential equations who wants gentle introductions to advanced topics like parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to *compute* solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment, so to take advantage of these examples some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through discretization methods, algorithms, software design, verification, and computational examples.