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Difference Methods Of Solving Problems Of Mathematical Physics
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Book Synopsis Difference Methods for Solutions of Problems of Mathematical Physics. I by : Nikolaĭ Nikolaevich I︠A︡nenko
Download or read book Difference Methods for Solutions of Problems of Mathematical Physics. I written by Nikolaĭ Nikolaevich I︠A︡nenko and published by American Mathematical Soc.. This book was released on 1967 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Difference Methods of Solving Problems of Mathematical Physics. II by : Nikolaĭ Nikolaevich I︠A︡nenko
Download or read book Difference Methods of Solving Problems of Mathematical Physics. II written by Nikolaĭ Nikolaevich I︠A︡nenko and published by American Mathematical Soc.. This book was released on 1970 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses solving difference equations in physics.
Book Synopsis Methods for Solving Mathematical Physics Problems by : Valeriĭ Ivanovich Agoshkov
Download or read book Methods for Solving Mathematical Physics Problems written by Valeriĭ Ivanovich Agoshkov and published by Cambridge Int Science Publishing. This book was released on 2006 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Methods for Solving Inverse Problems in Mathematical Physics by : Global Express Ltd. Co.
Download or read book Methods for Solving Inverse Problems in Mathematical Physics written by Global Express Ltd. Co. and published by CRC Press. This book was released on 2000-03-21 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theory of differential equations in Banach spaces, applications of functional analysis, and semigroup theory.
Book Synopsis Difference Methods of Solving Problems of Mathematical Physics, II. by : Nikolaĭ Nikolaevich I︠A︡nenko
Download or read book Difference Methods of Solving Problems of Mathematical Physics, II. written by Nikolaĭ Nikolaevich I︠A︡nenko and published by . This book was released on 1975 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Traditional Functional-Discrete Methods for the Problems of Mathematical Physics by : Volodymyr Makarov
Download or read book Traditional Functional-Discrete Methods for the Problems of Mathematical Physics written by Volodymyr Makarov and published by John Wiley & Sons. This book was released on 2024-02-23 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Traditional Functional-Discrete Methods for the Problems of Mathematical Physics by : Volodymyr Makarov
Download or read book Traditional Functional-Discrete Methods for the Problems of Mathematical Physics written by Volodymyr Makarov and published by John Wiley & Sons. This book was released on 2024-04-02 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Method of Fractional Steps by : Nikolaj N. Yanenko
Download or read book The Method of Fractional Steps written by Nikolaj N. Yanenko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of. fractional steps, known familiarly as the method oi splitting, is a remarkable technique, developed by N. N. Yanenko and his collaborators, for solving problems in theoretical mechanics numerically. It is applicable especially to potential problems, problems of elasticity and problems of fluid dynamics. Most of the applications at the present time have been to incompressible flow with free bound aries and to viscous flow at low speeds. The method offers a powerful means of solving the Navier-Stokes equations and the results produced so far cover a range of Reynolds numbers far greater than that attained in earlier methods. Further development of the method should lead to complete numerical solutions of many of the boundary layer and wake problems which at present defy satisfactory treatment. As noted by the author very few applications of the method have yet been made to problems in solid mechanics and prospects for answers both in this field and other areas such as heat transfer are encouraging. As the method is perfected it is likely to supplant traditional relaxation methods and finite element methods, especially with the increase in capability of large scale computers. The literal translation was carried out by T. Cheron with financial support of the Northrop Corporation. The editing of the translation was undertaken in collaboration with N. N. Yanenko and it is a plea sure to acknowledge his patient help and advice in this project. The edited manuscript was typed, for the most part, by Mrs.
Book Synopsis The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics by : G. N. Polozhii
Download or read book The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics written by G. N. Polozhii and published by Elsevier. This book was released on 2014-07-10 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pure and Applied Mathematics, Volume 79: The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics presents the numerical solution of two-dimensional and three-dimensional boundary-value problems of mathematical physics. This book focuses on the second-order and fourth-order linear differential equations. Organized into two chapters, this volume begins with an overview of ordinary finite-difference equations and the general solutions of certain specific finite-difference equations. This text then examines the various methods of successive approximation that are used exclusively for solving finite-difference equations. This book discusses as well the established formula of summary representation for certain finite-difference operators that are associated with partial differential equations of mathematical physics. The final chapter deals with the formula of summary representation to enable the researcher to write the solution of the corresponding systems of linear algebraic equations in a simple form. This book is a valuable resource for mathematicians and physicists.
Book Synopsis Numerical Methods for Solving Inverse Problems of Mathematical Physics by : A. A. Samarskii
Download or read book Numerical Methods for Solving Inverse Problems of Mathematical Physics written by A. A. Samarskii and published by Walter de Gruyter. This book was released on 2008-08-27 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main classes of inverse problems for equations of mathematical physics and their numerical solution methods are considered in this book which is intended for graduate students and experts in applied mathematics, computational mathematics, and mathematical modelling.
Book Synopsis Difference Methods of Solving Problems of Mathematical Physics by : Nikolaj N. Janenko
Download or read book Difference Methods of Solving Problems of Mathematical Physics written by Nikolaj N. Janenko and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theoretical and Mathematical Physics by : Steeb Willi-hans
Download or read book Theoretical and Mathematical Physics written by Steeb Willi-hans and published by World Scientific. This book was released on 2018-08-23 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated and extended edition of the book combines the topics provided in the two parts of the previous editions as well as new topics. It is a comprehensive compilation covering most areas in mathematical and theoretical physics. The book provides a collection of problems together with their detailed solutions which will prove to be valuable to students as well as to researchers in the fields of mathematics, physics, engineering and other sciences. Each chapter provides a short introduction with the relevant definitions and notations. All relevant definitions are given. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. Stimulating supplementary problems are also provided in each chapter. Students can learn important principles and strategies required for problem solving. Teachers will also find this text useful as a supplement, since important concepts and techniques are developed in the problems. Introductory problems for both undergraduate and advanced undergraduate students are provided. More advanced problems together with their detailed solutions are collected, to meet the needs of graduate students and researchers. Problems included cover new fields in theoretical and mathematical physics such as tensor product, Lax representation, Bäcklund transformation, soliton equations, Hilbert space theory, uncertainty relation, entanglement, spin systems, Lie groups, Bose system, Fermi systems differential forms, Lie algebra valued differential forms, metric tensor fields, Hirota technique, Painlevé test, Bethe ansatz, Yang-Baxter relation, wavelets, gauge theory, differential geometry, string theory, chaos, fractals, complexity, ergodic theory, etc. A number of software implementations are also provided.
Book Synopsis Problems & Solutions in Theoretical & Mathematical Physics: Introductory level by : W.-H. Steeb
Download or read book Problems & Solutions in Theoretical & Mathematical Physics: Introductory level written by W.-H. Steeb and published by World Scientific. This book was released on 2003 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of problems with detailed solutions which will prove valuable to students and research workers in mathematics, physics, engineering and other sciences. The topics range in difficulty from elementary to advanced level. Almost all the problems are solved in detail and most of them are self-contained. All relevant definitions are given. Students can learn important principles and strategies required for problem solving. Teachers will find this text useful as a supplement, since important concepts and techniques are developed through the problems. The material has been tested in the author's lectures given around the world. The book is divided into two volumes. Volume I presents the introductory problems, for undergraduate and advanced undergraduate students. In Volume II, the more advanced problems, together with detailed solutions, are collected, to meet the needs of graduate students and researchers. The problems included cover most of the new fields in theoretical and mathematical physics, such as Lax representation, Backlund transformation, soliton equations, Lie-algebra-valued differential forms, the Hirota technique, the Painleve test, the Bethe ansatz, the Yang -- Baxter relation, chaos, fractals, complexity, etc.
Book Synopsis Mathematical Physics with Partial Differential Equations by : James Kirkwood
Download or read book Mathematical Physics with Partial Differential Equations written by James Kirkwood and published by Academic Press. This book was released on 2012-01-20 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduate and beginning graduate students taking a course on mathematical physics, this title presents some of the most important topics and methods of mathematical physics. It contains mathematical derivations and solutions - reinforcing the material through repetition of both the equations and the techniques.
Book Synopsis The Theory of Difference Schemes by : Alexander A. Samarskii
Download or read book The Theory of Difference Schemes written by Alexander A. Samarskii and published by CRC Press. This book was released on 2001-03-29 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theory of Difference Schemes emphasizes solutions to boundary value problems through multiple difference schemes. It addresses the construction of approximate numerical methods and computer algorithms for solving mathematical physics problems. The book also develops mathematical models for obtaining desired solutions in minimal time using direct or iterative difference equations. Mathematical Reviews said it is "well-written [and] an excellent book, with a wealth of mathematical material and techniques."
Book Synopsis Difference Schemes with Operator Factors by : A.A. Samarskii
Download or read book Difference Schemes with Operator Factors written by A.A. Samarskii and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often used to solve numerically non stationary problems of mathematical physics. In the theoretical analysis of difference schemes our basic attention is paid to the problem of sta bility of a difference solution (or well posedness of a difference scheme) with respect to small perturbations of the initial conditions and the right hand side. The theory of stability of difference schemes develops in various di rections. The most important results on this subject can be found in the book by A.A. Samarskii and A.V. Goolin [Samarskii and Goolin, 1973]. The survey papers of V. Thomee [Thomee, 1969, Thomee, 1990], A.V. Goolin and A.A. Samarskii [Goolin and Samarskii, 1976], E. Tad more [Tadmor, 1987] should also be mentioned here. The stability theory is a basis for the analysis of the convergence of an approximative solu tion to the exact solution, provided that the mesh width tends to zero. In this case the required estimate for the truncation error follows from consideration of the corresponding problem for it and from a priori es timates of stability with respect to the initial data and the right hand side. Putting it briefly, this means the known result that consistency and stability imply convergence.
Book Synopsis Mathematical Methods in Physics, Engineering, and Chemistry by : Brett Borden
Download or read book Mathematical Methods in Physics, Engineering, and Chemistry written by Brett Borden and published by John Wiley & Sons. This book was released on 2019-11-12 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise and up-to-date introduction to mathematical methods for students in the physical sciences Mathematical Methods in Physics, Engineering and Chemistry offers an introduction to the most important methods of theoretical physics. Written by two physics professors with years of experience, the text puts the focus on the essential math topics that the majority of physical science students require in the course of their studies. This concise text also contains worked examples that clearly illustrate the mathematical concepts presented and shows how they apply to physical problems. This targeted text covers a range of topics including linear algebra, partial differential equations, power series, Sturm-Liouville theory, Fourier series, special functions, complex analysis, the Green’s function method, integral equations, and tensor analysis. This important text: Provides a streamlined approach to the subject by putting the focus on the mathematical topics that physical science students really need Offers a text that is different from the often-found definition-theorem-proof scheme Includes more than 150 worked examples that help with an understanding of the problems presented Presents a guide with more than 200 exercises with different degrees of difficulty Written for advanced undergraduate and graduate students of physics, materials science, and engineering, Mathematical Methods in Physics, Engineering and Chemistry includes the essential methods of theoretical physics. The text is streamlined to provide only the most important mathematical concepts that apply to physical problems.
