[PDF] Full Traditional Functional Discrete Methods For The Problems Of Mathematical Physics Download eBook

Traditional Functional-Discrete Methods for the Problems of Mathematical Physics

Author: Volodymyr Makarov

Publisher: John Wiley & Sons

Published: 2024-04-02

Total Pages: 356

ISBN-13: 1786309335

This book is devoted to the construction and study of approximate methods for solving mathematical physics problems in canonical domains. It focuses on obtaining weighted a priori estimates of the accuracy of these methods while also considering the influence of boundary and initial conditions. This influence is quantified by means of suitable weight functions that characterize the distance of an inner point to the boundary of the domain. New results are presented on boundary and initial effects for the finite difference method for elliptic and parabolic equations, mesh schemes for equations with fractional derivatives, and the Cayley transform method for abstract differential equations in Hilbert and Banach spaces. Due to their universality and convenient implementation, the algorithms discussed throughout can be used to solve a wide range of actual problems in science and technology. The book is intended for scientists, university teachers, and graduate and postgraduate students who specialize in the field of numerical analysis.

Traditional Functional-Discrete Methods for the Problems of Mathematical Physics

Author: Volodymyr Makarov

Publisher: John Wiley & Sons

Published: 2024-02-23

Total Pages: 356

ISBN-13: 1394276656

DOWNLOAD EBOOK

This book is devoted to the construction and study of approximate methods for solving mathematical physics problems in canonical domains. It focuses on obtaining weighted a priori estimates of the accuracy of these methods while also considering the influence of boundary and initial conditions. This influence is quantified by means of suitable weight functions that characterize the distance of an inner point to the boundary of the domain. New results are presented on boundary and initial effects for the finite difference method for elliptic and parabolic equations, mesh schemes for equations with fractional derivatives, and the Cayley transform method for abstract differential equations in Hilbert and Banach spaces. Due to their universality and convenient implementation, the algorithms discussed throughout can be used to solve a wide range of actual problems in science and technology. The book is intended for scientists, university teachers, and graduate and postgraduate students who specialize in the field of numerical analysis.

Mathematics for Physics

Author: Michael Stone

Publisher: Cambridge University Press

Published: 2009-07-09

Total Pages: 821

ISBN-13: 1139480618

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An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

Mathematical Methods in Physics

Author: Victor Henner

Publisher: CRC Press

Published: 2009-06-18

Total Pages: 859

ISBN-13: 1439865167

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This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that

Mathematics for Physicists

Author: Philippe Dennery

Publisher: Courier Corporation

Published: 2012-06-11

Total Pages: 420

ISBN-13: 0486157121

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Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex variable, linear vector spaces, much more. Problems. 1967 edition.

Mathematical Methods for Physics and Engineering

Author: Kenneth Franklin Riley

Publisher:

Published: 1997

Total Pages: 1008

ISBN-13:

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Electrical Power & Energy Systems

Author: Jin Yue Yan

Publisher: Trans Tech Publications Ltd

Published: 2012-05-14

Total Pages: 1980

ISBN-13: 3038138304

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Selected, peer reviewed papers from the 2012 International Conference on Energy and Environmental Protection (ICEEP 2012), June 23-24, 2012, Hohhot, China

Functional Analysis, Sobolev Spaces and Partial Differential Equations

Author: Haim Brezis

Publisher: Springer Science & Business Media

Published: 2010-11-02

Total Pages: 600

ISBN-13: 0387709142

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This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.