Traditional Functional-Discrete Methods for the Problems of Mathematical Physics

Traditional Functional-Discrete Methods for the Problems of Mathematical Physics PDF

Author: Volodymyr Makarov

Publisher: John Wiley & Sons

Published: 2024-04-02

Total Pages: 356

ISBN-13: 1786309335

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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.

Methods for Solving Mathematical Physics Problems

Methods for Solving Mathematical Physics Problems PDF

Author: Valeriĭ Ivanovich Agoshkov

Publisher: Cambridge Int Science Publishing

Published: 2006

Total Pages: 335

ISBN-13: 1904602053

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The aim of the book is to present to a wide range of readers (students, postgraduates, scientists, engineers, etc.) basic information on one of the directions of mathematics, methods for solving mathematical physics problems. The authors have tried to select for the book methods that have become classical and generally accepted. However, some of the current versions of these methods may be missing from the book because they require special knowledge. The book is of the handbook-teaching type. On the one hand, the book describes the main definitions, the concepts of the examined methods and approaches used in them, and also the results and claims obtained in every specific case. On the other hand, proofs of the majority of these results are not presented and they are given only in the simplest (methodological) cases. Another special feature of the book is the inclusion of many examples of application of the methods for solving specific mathematical physics problems of applied nature used in various areas of science and social activity, such as power engineering, environmental protection, hydrodynamics, elasticity theory, etc. This should provide additional information on possible applications of these methods. To provide complete information, the book includes a chapter dealing with the main problems of mathematical physics, together with the results obtained in functional analysis and boundary-value theory for equations with partial derivatives.

Methods of Modern Mathematical Physics

Methods of Modern Mathematical Physics PDF

Author: Michael Reed

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 344

ISBN-13: 0323155006

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Methods of Modern Mathematical Physics, Volume I: Functional Analysis discusses the fundamental principles of functional analysis in modern mathematical physics. This book also analyzes the influence of mathematics on physics, such as the Newtonian mechanics used to interpret all physical phenomena. Organized into eight chapters, this volume starts with an overview of the functional analysis in the study of several concrete models. This book then discusses how to generalize the Lebesgue integral to work with functions on the real line and with Borel sets. This text also explores the properties of finite-dimensional vector spaces. Other chapters discuss the normed linear spaces, which have the property of being complete. This monograph further examines the general class of topologized vector spaces and the spaces of distributions that arise in a wide variety of physical problems and functional situations. This book is a valuable resource for mathematicians and physicists. Students and researchers in the field of geometry will also find this book extremely useful.

Programming And Mathematical Techniques In Physics - Proceedings Of The Conference On Programming And Mathematical Methods For Solving Physical Problems

Programming And Mathematical Techniques In Physics - Proceedings Of The Conference On Programming And Mathematical Methods For Solving Physical Problems PDF

Author: Yu Yu Lobanov

Publisher: World Scientific

Published: 1994-05-16

Total Pages: 326

ISBN-13: 9814551686

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This volume is a collection of papers which were presented at the traditional international conference on programming and mathematical methods for solving physical problems. The topics covered a wide scope of problems including information database systems, networking, data acquisition systems, analytical and numerical methods for solution of the physical problems.

Information Systems Management

Information Systems Management PDF

Author: Daniel Alban

Publisher: John Wiley & Sons

Published: 2024-07-11

Total Pages: 276

ISBN-13: 1786309416

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Information Systems Management is intended to sensitize the heads of organizations to the issues raised by information systems (IS). Through its pedagogical presentation, this book ensures that issues related to IS are not left solely to the experts in the field. This book combines and analyzes three key concepts in IS science: governance, urbanization and alignment. While governance implies the implementation of a certain number of means, bodies and procedures to manage IS more effectively, urbanization involves visualization methods to enable the manager to take into account the different levels of the organization of an IS and their coherence. Finally, alignment assesses the ability of the IS to make a significant contribution to the organization’s strategy

Semi-Classical Approximation in Quantum Mechanics

Semi-Classical Approximation in Quantum Mechanics PDF

Author: Victor P. Maslov

Publisher: Springer Science & Business Media

Published: 2001-11-30

Total Pages: 320

ISBN-13: 9781402003066

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This volume is concerned with a detailed description of the canonical operator method - one of the asymptotic methods of linear mathematical physics. The book is, in fact, an extension and continuation of the authors' works [59], [60], [65]. The basic ideas are summarized in the Introduction. The book consists of two parts. In the first, the theory of the canonical operator is develop ed, whereas, in the second, many applications of the canonical operator method to concrete problems of mathematical physics are presented. The authors are pleased to express their deep gratitude to S. M. Tsidilin for his valuable comments. THE AUTHORS IX INTRODUCTION 1. Various problems of mathematical and theoretical physics involve partial differential equations with a small parameter at the highest derivative terms. For constructing approximate solutions of these equations, asymptotic methods have long been used. In recent decades there has been a renaissance period of the asymptotic methods of linear mathematical physics. The range of their applicability has expanded: the asymptotic methods have been not only continuously used in traditional branches of mathematical physics but also have had an essential impact on the development of the general theory of partial differential equations. It appeared recently that there is a unified approach to a number of problems which, at first sight, looked rather unrelated.

Mathematical Methods in Physics and Engineering

Mathematical Methods in Physics and Engineering PDF

Author: John W. Dettman

Publisher: Courier Corporation

Published: 1988-01-01

Total Pages: 450

ISBN-13: 9780486656496

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Algebraically based approach to vectors, mapping, diffraction, and other topics in applied math also covers generalized functions, analytic function theory, and more. Additional topics include sections on linear algebra, Hilbert spaces, calculus of variations, boundary value problems, integral equations, analytic function theory, and integral transform methods. Exercises. 1969 edition.

Mathematical Methods For Physicists International Student Edition

Mathematical Methods For Physicists International Student Edition PDF

Author: George B. Arfken

Publisher: Elsevier

Published: 2005-07-05

Total Pages: 1195

ISBN-13: 0080470696

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This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition. Updates the leading graduate-level text in mathematical physics Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering Focuses on problem-solving skills and offers a vast array of exercises Clearly illustrates and proves mathematical relations New in the Sixth Edition: Updated content throughout, based on users' feedback More advanced sections, including differential forms and the elegant forms of Maxwell's equations A new chapter on probability and statistics More elementary sections have been deleted

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