The Method Of Summary Representation For Numerical Solution Of Problems Of Mathematical Physics
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The Method Of Summary Representation For Numerical Solution Of Problems Of Mathematical Physics
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Author : G. N. Polozhii
language : en
Publisher: Elsevier
Release Date : 2014-07-10
The Method Of Summary Representation For Numerical Solution Of Problems Of Mathematical Physics written by G. N. Polozhii and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Mathematics categories.
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.
The Method Of Summary Representation For Numerical Solution Of Problems Of Mathematical Physics
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Author : Georgij N. Položij
language : en
Publisher:
Release Date : 1965
The Method Of Summary Representation For Numerical Solution Of Problems Of Mathematical Physics written by Georgij N. Položij and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Boundary value problems categories.
A Bibliography For The Numerical Solution Of Partial Differential Equations
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Author : John H. Giese
language : en
Publisher:
Release Date : 1969
A Bibliography For The Numerical Solution Of Partial Differential Equations written by John H. Giese and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Difference equations categories.
A list of 2561 references to the numerical solution of partial differential equations has been compiled. References to reviews in several abstracting journals have been given, and a crude index has been prepared. (Author).
Numerical Treatment Of Differential Equations In Applications
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Author : R. Ansorge
language : en
Publisher: Springer
Release Date : 2006-11-15
Numerical Treatment Of Differential Equations In Applications written by R. Ansorge and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
With contributions by numerous experts
The Theory Of Jets In An Ideal Fluid
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Author : M. I. Gurevich
language : en
Publisher: Elsevier
Release Date : 2014-07-22
The Theory Of Jets In An Ideal Fluid written by M. I. Gurevich and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Technology & Engineering categories.
Pure and Applied Mathematics, Volume 39: The Theory of Jets in an Ideal Fluid provides a general idea of the theory of jets. This book serves as an introduction to the classical problems in the theory and provides some knowledge of the fundamentals of hydromechanics. Organized into 12 chapters, this volume begins with an overview of the theory of plane, steady flow of an ideal, incompressible fluid. This text then examines the jet flow of an unbounded current about a flat plate, placed perpendicular to the flow. Other chapters consider a number of problems involving the plane flow of fluid out of vessels. This book discusses as well the physical importance of Brillouin's condition and also the problem of cavitational flow. The final chapter deals with the flows of weightless fluid in order to know the effect of surface tension forces. This book is a valuable resource for marine and hydraulic engineers.
Lie Algebras
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Author : Zhe-Xian Wan
language : en
Publisher: Elsevier
Release Date : 2014-07-10
Lie Algebras written by Zhe-Xian Wan and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Mathematics categories.
Lie Algebras is based on lectures given by the author at the Institute of Mathematics, Academia Sinica. This book discusses the fundamentals of the Lie algebras theory formulated by S. Lie. The author explains that Lie algebras are algebraic structures employed when one studies Lie groups. The book also explains Engel's theorem, nilpotent linear Lie algebras, as well as the existence of Cartan subalgebras and their conjugacy. The text also addresses the Cartan decompositions and root systems of semi-simple Lie algebras and the dependence of structure of semi-simple Lie algebras on root systems. The text explains in details the fundamental systems of roots of semi simple Lie algebras and Weyl groups including the properties of the latter. The book addresses the group of automorphisms and the derivation algebra of a Lie algebra and Schur's lemma. The book then shows the characters of irreducible representations of semi simple Lie algebras. This book can be useful for students in advance algebra or who have a background in linear algebra.
The Fundamentals Of Mathematical Analysis
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Author : G. M. Fikhtengol'ts
language : en
Publisher: Elsevier
Release Date : 2014-08-01
The Fundamentals Of Mathematical Analysis written by G. M. Fikhtengol'ts and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-01 with Mathematics categories.
The Fundamentals of Mathematical Analysis, Volume 1 is a textbook that provides a systematic and rigorous treatment of the fundamentals of mathematical analysis. Emphasis is placed on the concept of limit which plays a principal role in mathematical analysis. Examples of the application of mathematical analysis to geometry, mechanics, physics, and engineering are given. This volume is comprised of 14 chapters and begins with a discussion on real numbers, their properties and applications, and arithmetical operations over real numbers. The reader is then introduced to the concept of function, important classes of functions, and functions of one variable; the theory of limits and the limit of a function, monotonic functions, and the principle of convergence; and continuous functions of one variable. A systematic account of the differential and integral calculus is then presented, paying particular attention to differentiation of functions of one variable; investigation of the behavior of functions by means of derivatives; functions of several variables; and differentiation of functions of several variables. The remaining chapters focus on the concept of a primitive function (and of an indefinite integral); definite integral; geometric applications of integral and differential calculus. This book is intended for first- and second-year mathematics students.
Vector Measures
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Author : N. Dinculeanu
language : en
Publisher: Elsevier
Release Date : 2014-07-21
Vector Measures written by N. Dinculeanu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-21 with Mathematics categories.
International Series of Monographs in Pure and Applied Mathematics, Volume 95: Vector Measures focuses on the study of measures with values in a Banach space, including positive measures with finite or infinite values. This book is organized into three chapters. Chapter I covers classes of sets, set functions, variation and semi-variation of set functions, and extension of set functions from a certain class to a wider one. The integration of vector functions with respect to vector measures is reviewed in Chapter II. In Chapter III, the regular measures on a locally compact space and integral representation of the dominated operations on the space of continuous functions with compact carrier are described. This volume is intended for specialists, researchers, and students interested in vector measures.
Operational Calculus
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Author : Thomas K. Boehme
language : en
Publisher: Elsevier
Release Date : 2014-08-01
Operational Calculus written by Thomas K. Boehme and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-01 with Mathematics categories.
Operational Calculus, Volume II is a methodical presentation of operational calculus. An outline of the general theory of linear differential equations with constant coefficients is presented. Integral operational calculus and advanced topics in operational calculus, including locally integrable functions and convergence in the space of operators, are also discussed. Formulas and tables are included. Comprised of four sections, this volume begins with a discussion on the general theory of linear differential equations with constant coefficients, focusing on such topics as homogeneous and non-homogeneous equations and applications of operational calculus to partial differential equations. The section section deals with the integral of an operational function and its applications, along with integral transformations. A definition of operators in terms of abstract algebra is then presented. Operators as generalized functions, power series of operators, and Laplace transform are also discussed. Formulas of the operational calculus and tables of functions round out the book. This monograph will be useful to engineers, who regard the operational calculus merely as a tool in their work, and readers who are interested in proofs of theorems and mathematical problems.
Systems Of Quasilinear Equations And Their Applications To Gas Dynamics
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Author : Boris Leonidovich Rozhdestvenski_
language : en
Publisher: American Mathematical Soc.
Release Date : 1983-12-31
Systems Of Quasilinear Equations And Their Applications To Gas Dynamics written by Boris Leonidovich Rozhdestvenski_ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-12-31 with Science categories.
This book is essentially a new edition, revised and augmented by results of the last decade, of the work of the same title published in 1968 by ``Nauka.'' It is devoted to mathematical questions of gas dynamics. Topics covered include Foundations of the Theory of Systems of Quasilinear Equations of Hyperbolic Type in Two Independent Variables; Classical and Generalized Solutions of One-Dimensional Gas Dynamics; Difference Methods for Solving the Equations of Gas Dynamics; and Generalized Solutions of Systems of Quasilinear Equations of Hyperbolic Type.