The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics
The Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics

Author: G. N. Polozhii

Publisher: Elsevier

Published: 2014-07-10

Total Pages: 305

ISBN-13: 148318546X

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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.

Encyclopedia of Ukraine
Encyclopedia of Ukraine

Author: Danylo Husar Struk

Publisher: University of Toronto Press

Published: 1993-12-15

Total Pages: 2400

ISBN-13: 1442651261

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Over thirty years in the making, the most comprehensive work in English on Ukraine is now complete: its history, people, geography, economy, and cultural heritage, both in Ukraine and in the diaspora.

Elements of Analytical Dynamics
Elements of Analytical Dynamics

Author: Rudolph Kurth

Publisher: Elsevier

Published: 2014-07-10

Total Pages: 193

ISBN-13: 1483151727

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Elements of Analytical Dynamics deals with dynamics, which studies the relationship between motion of material bodies and the forces acting on them. This book is a compilation of lectures given by the author at the Georgia and Institute of Technology and formed a part of a course in Topological Dynamics. The book begins by discussing the notions of space and time and their basic properties. It then discusses the Hamilton-Jacobi theory and Hamilton's principle and first integrals. The text concludes with a discussion on Jacobi's geometric interpretation of conservative systems. This book will be of direct use to graduate students of Mathematics with minimal background in Theoretical Mechanics.