Difference Methods of Solving Problems of Mathematical Physics, II.
Author: Nikolaĭ Nikolaevich I︠A︡nenko
Publisher:
Published: 1975
Total Pages: 99
ISBN-13:
DOWNLOAD EBOOK →Author: Nikolaĭ Nikolaevich I︠A︡nenko
Publisher:
Published: 1975
Total Pages: 99
ISBN-13:
DOWNLOAD EBOOK →Author: Nikolaĭ Nikolaevich I︠A︡nenko
Publisher: American Mathematical Soc.
Published: 1970
Total Pages: 106
ISBN-13: 9780821830222
DOWNLOAD EBOOK →Discusses solving difference equations in physics.
Author: Nikolaĭ Nikolaevich I︠A︡nenko
Publisher: American Mathematical Soc.
Published: 1967
Total Pages: 204
ISBN-13: 9780821818749
DOWNLOAD EBOOK →Author: Valeriĭ Ivanovich Agoshkov
Publisher: Cambridge Int Science Publishing
Published: 2006
Total Pages: 335
ISBN-13: 1904602053
DOWNLOAD EBOOK →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.
Author: Volodymyr Makarov
Publisher: John Wiley & Sons
Published: 2024-04-02
Total Pages: 356
ISBN-13: 1786309335
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.
Author: G. N. Polozhii
Publisher: Elsevier
Published: 2014-07-10
Total Pages: 305
ISBN-13: 148318546X
DOWNLOAD EBOOK →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.
Author: Global Express Ltd. Co.
Publisher: CRC Press
Published: 2000-03-21
Total Pages: 732
ISBN-13: 148229298X
DOWNLOAD EBOOK →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, app
Author: Peter Szekeres
Publisher: Cambridge University Press
Published: 2004-12-16
Total Pages: 620
ISBN-13: 9780521829601
DOWNLOAD EBOOK →This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
Author: Michael Spivak
Publisher:
Published: 2010
Total Pages: 733
ISBN-13: 9780914098324
DOWNLOAD EBOOK →Author: Richard Courant
Publisher: John Wiley & Sons
Published: 2008-09-26
Total Pages: 852
ISBN-13: 3527617248
DOWNLOAD EBOOK →Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.