Green`s Functions and Linear Differential Equations, Kythe, Prem K.

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: li zhilin
Название: Numerical solution of differential equations
ISBN: 1107163226 ISBN-13(EAN): 9781107163225
Издательство: Cambridge Academ
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Цена: 89760.00 T
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Описание: This practical and concise guide to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. With few prerequisites, the book is accessible to readers from a range of disciplines across science and engineering. Well-tested MATLAB (R) codes are available online.

Автор: Howard S. Cohl, Mourad E. H. Ismail
Название: Lectures on Orthogonal Polynomials and Special Functions
ISBN: 1108821596 ISBN-13(EAN): 9781108821599
Издательство: Cambridge Academ
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Цена: 76030.00 T
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Описание: This is a collection of graduate-level introductions to five areas of current research interest in orthogonal polynomials and special functions. It derives from the OPSF-S6 Summer School lectures given by international authorities and has been carefully edited into a coherent whole, with examples and exercises.

Автор: Oksendal
Название: Stochastic Differential Equations
ISBN: 3540047581 ISBN-13(EAN): 9783540047582
Издательство: Springer
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Цена: 54820.00 T
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Описание: Gives an introduction to the basic theory of stochastic calculus and its applications. This book offers examples in order to motivate and illustrate the theory and show its importance for many applications in for example economics, biology and physics.

Автор: Stevan Pilipovi?; Joachim Toft
Название: Pseudo-Differential Operators and Generalized Functions
ISBN: 3319381113 ISBN-13(EAN): 9783319381114
Издательство: Springer
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Цена: 93160.00 T
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Описание: Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis.

Автор: R. M. M. Mattheij
Название: Partial Differential Equations
ISBN: 0898715946 ISBN-13(EAN): 9780898715941
Издательство: Mare Nostrum (Eurospan)
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Цена: 142120.00 T
Наличие на складе: Нет в наличии.
Описание: Partial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component - modeling - to address real-life problems. The authors believe that modeling can be learned only by doing; hence a separate chapter containing 16 user-friendly case studies of elliptic, parabolic, and hyperbolic equations is included and numerous exercises are included in all other chapters.

Автор: Rother, Tom
Название: Green`s functions in classical physics
ISBN: 3319524364 ISBN-13(EAN): 9783319524368
Издательство: Springer
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Цена: 41920.00 T
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This book presents the Green's function formalism in a basic way and demonstrates its usefulness for applications to several well-known problems in classical physics which are usually solved not by this formalism but other approaches. The book bridges the gap between applications of the Green's function formalism in quantum physics and classical physics. This book is written as an introduction for graduate students and researchers who want to become more familiar with the Green's function formalism.

In 1828 George Green has published an essay that was unfortunately sunken into oblivion shortly after its publication. It was rediscovered only after several years by the later Lord Kelvin. But since this time, using Green's functions for solving partial differential equations in physics has become an important mathematical tool. While the conceptual and epistemological importance of these functions were essentially discovered and discussed in modern physics - especially in quantum field theory and quantum statistics - these aspects are rarely touched in classical physics. In doing it, this book provides an interesting and sometimes new point of view on several aspects and problems in classical physics, like the Kepler motion or the description of certain classical probability experiments in finite event spaces. A short outlook on quantum mechanical problems concludes this book.

Автор: Duffy, Dean G.
Название: Green`s Functions with Applications
ISBN: 1482251027 ISBN-13(EAN): 9781482251029
Издательство: Taylor&Francis
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Цена: 168430.00 T
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Автор: Melnikov Yuri A., Borodin Volodymyr N.
Название: Green`s Functions: Potential Fields on Surfaces
ISBN: 3319861115 ISBN-13(EAN): 9783319861111
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green`s functions from scratch.

Автор: Karsten Balzer; Michael Bonitz
Название: Nonequilibrium Green`s Functions Approach to Inhomogeneous Systems
ISBN: 364235081X ISBN-13(EAN): 9783642350818
Издательство: Springer
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Цена: 32560.00 T
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Описание: This research monograph provides a pedagogical and self-contained introduction to non-equilibrium quantum particle dynamics for inhomogeneous systems, up to and including a survey of recent breakthroughs pioneered by the authors and other groups.

Автор: Yuri A. Melnikov; Volodymyr N. Borodin
Название: Green`s Functions
ISBN: 3319572423 ISBN-13(EAN): 9783319572420
Издательство: Springer
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Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green`s functions from scratch.

Автор: Vladimir Maz`ya; Alexander Movchan; Michael Nieves
Название: Green`s Kernels and Meso-Scale Approximations in Perforated Domains
ISBN: 3319003569 ISBN-13(EAN): 9783319003566
Издательство: Springer
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Цена: 46570.00 T
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Описание:

Part I: Green's functions in singularly perturbed domains: Uniform asymptotic formulae for Green's functions for the Laplacian in domains with small perforations.- Mixed and Neumann boundary conditions for domains with small holes and inclusions. Uniform asymptotics of Green's kernels.- Green's function for the Dirichlet boundary value problem in a domain with several inclusions.- Numerical simulations based on the asymptotic approximations.- Other examples of asymptotic approximations of Green's functions in singularly perturbed domains.- Part II: Green's tensors for vector elasticity in bodies with small defects: Green's tensor for the Dirichlet boundary value problem in a domain with a single inclusion.- Green's tensor in bodies with multiple rigid inclusions.- Green's tensor for the mixed boundary value problem in a domain with a small hole.- Part III Meso-scale approximations. Asymptotic treatment of perforated domains without homogenization: Meso-scale approximations for solutions of Dirichlet problems.- Mixed boundary value problems in multiply-perforated domains.