A.A. Samarskij's Books

Difference Schemes with Operator Factors

By: A.A. Samarskii,P.P. Matus,P.N. Vabishchevich

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Difference Schemes with Operator Factors

By: A.A. Samarskii,P.P. Matus,P.N. Vabishchevich

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.

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Page Count

390

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401598746

ISBN 13

9789401598743

Blow-Up in Quasilinear Parabolic Equations

By: A. A. Samarskii,Victor a. Galaktionov,Sergey p. Kurdyumov,A. P. Mikhailov

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Blow-Up in Quasilinear Parabolic Equations

By: A. A. Samarskii,Victor a. Galaktionov,Sergey p. Kurdyumov,A. P. Mikhailov

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

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561

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110889862

ISBN 13

9783110889864

Numerical Methods for Solving Inverse Problems of Mathematical Physics

By: A. A. Samarskii,Petr N. Vabishchevich

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Numerical Methods for Solving Inverse Problems of Mathematical Physics

By: A. A. Samarskii,Petr N. Vabishchevich

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.

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453

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Walter de Gruyter

Published Date

ISBN 10

3110205793

ISBN 13

9783110205794

A Collection of Problems on Mathematical Physics

International Series of Monographs in Pure and Applied Mathematics

By: B. M. Budak,A. A. Samarskii,A. N. Tikhonov

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A Collection of Problems on Mathematical Physics

International Series of Monographs in Pure and Applied Mathematics

By: B. M. Budak,A. A. Samarskii,A. N. Tikhonov

A Collection of Problems on Mathematical Physics is a translation from the Russian and deals with problems and equations of mathematical physics. The book contains problems and solutions. The book discusses problems on the derivation of equations and boundary condition. These Problems are arranged on the type and reduction to canonical form of equations in two or more independent variables. The equations of hyperbolic type concerns derive from problems on vibrations of continuous media and on electromagnetic oscillations. The book considers the statement and solutions of boundary value problems pertaining to equations of parabolic types when the physical processes are described by functions of two, three or four independent variables such as spatial coordinates or time. The book then discusses dynamic problems pertaining to the mechanics of continuous media and problems on electrodynamics. The text also discusses hyperbolic and elliptic types of equations. The book is intended for students in advanced mathematics and physics, as well as, for engineers and workers in research institutions.

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783

Publisher

Elsevier

Published Date

ISBN 10

1483184862

ISBN 13

9781483184869

Equations of Mathematical Physics

By: A. N. Tikhonov,A. A. Samarskii

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Equations of Mathematical Physics

By: A. N. Tikhonov,A. A. Samarskii

Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.

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802

Publisher

Courier Corporation

Published Date

ISBN 10

0486173364

ISBN 13

9780486173368

Blow-Up in Quasilinear Parabolic Equations

By: A. A. Samarskii,Victor a. Galaktionov,Sergey p. Kurdyumov,A. P. Mikhailov

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Blow-Up in Quasilinear Parabolic Equations

By: A. A. Samarskii,Victor a. Galaktionov,Sergey p. Kurdyumov,A. P. Mikhailov

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561

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Walter de Gruyter

Published Date

ISBN 10

3110889862

ISBN 13

9783110889864

Numerical Methods for Grid Equations

Volume I Direct Methods

By: A.A. Samarskij,E.S. Nikolaev

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Numerical Methods for Grid Equations

Volume I Direct Methods

By: A.A. Samarskij,E.S. Nikolaev

The finite-difference solution of mathematical-physics differential equations is carried out in two stages: 1) the writing of the difference scheme (a differ ence approximation to the differential equation on a grid), 2) the computer solution of the difference equations, which are written in the form of a high order system of linear algebraic equations of special form (ill-conditioned, band-structured). Application of general linear algebra methods is not always appropriate for such systems because of the need to store a large volume of information, as well as because of the large amount of work required by these methods. For the solution of difference equations, special methods have been developed which, in one way or another, take into account special features of the problem, and which allow the solution to be found using less work than via the general methods. This work is an extension of the book Difference M ethod3 for the Solution of Elliptic Equation3 by A. A. Samarskii and V. B. Andreev which considered a whole set of questions connected with difference approximations, the con struction of difference operators, and estimation of the ~onvergence rate of difference schemes for typical elliptic boundary-value problems. Here we consider only solution methods for difference equations. The book in fact consists of two volumes.

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273

Publisher

Birkhäuser

Published Date

ISBN 10

3034892721

ISBN 13

9783034892728

A Collection of Problems on Mathematical Physics

International Series of Monographs in Pure and Applied Mathematics

By: B. M. Budak,A. A. Samarskii,A. N. Tikhonov

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A Collection of Problems on Mathematical Physics

International Series of Monographs in Pure and Applied Mathematics

By: B. M. Budak,A. A. Samarskii,A. N. Tikhonov

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783

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Elsevier

Published Date

ISBN 10

1483184862

ISBN 13

9781483184869

Numerical Methods for Solving Inverse Problems of Mathematical Physics

By: A. A. Samarskii,Petr N. Vabishchevich

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Numerical Methods for Solving Inverse Problems of Mathematical Physics

By: A. A. Samarskii,Petr N. Vabishchevich

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453

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Walter de Gruyter

Published Date

ISBN 10

3110205793

ISBN 13

9783110205794

Daily Reflections

A Book of Reflections by A.A. Members for A.A. Members

By: A a,Aa World Services Inc

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Daily Reflections

A Book of Reflections by A.A. Members for A.A. Members

By: A a,Aa World Services Inc

This is a book of reflections by A.A. members for A.A. members. It was first published in 1990 to fulfill a long-felt need within the Fellowship for a collection of reflections that moves through the calendar year--one day at a time. Each page contains a reflection on a quotation from A.A. Conference-approved literature, such as Alcoholics Anonymous, Twelve Steps and Twelve Traditions, As Bill Sees It and other books. These reflections were submitted by members of the A.A. Fellowship who were not professional writers, nor did they speak for A.A. but only for themselves, from their own experiences in sobriety. Thus the book offers sharing, day by day, from a broad cross section of members, which focuses on the Three Legacies of Alcoholics Anonymous: Recovery, Unity and Service. Daily Reflections has proved to be a popular book that aids individuals in their practice of daily meditation and provides inspiration to group discussions even as it presents an introduction for some to A.A. literature as a whole.

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384

Published Date

ISBN 10

1684113717

ISBN 13

9781684113712

Alcoholics Anonymous Big Book

Special edition

By: Alcoholics Anonymous World Services,Alcoholics Anonymous

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Alcoholics Anonymous Big Book

Special edition

By: Alcoholics Anonymous World Services,Alcoholics Anonymous

First published in 1939, this resource sets forth cornerstone concepts of recovery from alcoholism and tells the stories of men and women who have overcome the disease.

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164

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Bnpublishing.Com

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ISBN 10

9562912655

ISBN 13

9789562912655

Alcoholics Anonymous - Big Book Special Edition - Including

New Personal Stories for the Year 2008

By: Various,Aa Services

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Alcoholics Anonymous - Big Book Special Edition - Including

New Personal Stories for the Year 2008

By: Various,Aa Services

It's more than a book. It's a way of life. Alcoholics Anonymous: the big book has served as a lifeline to millions worldwide. Alcoholics Anonymous sets forth cornerstone concepts of recovery from alcoholism and tells the stories of men and women who have overcome the disease"--Container.

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220

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Bnpublishing.Com

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ISBN 10

9563100425

ISBN 13

9789563100426

Book's by A.A. Samarskij

Difference Schemes with Operator Factors

Difference Schemes with Operator Factors

Blow-Up in Quasilinear Parabolic Equations

Blow-Up in Quasilinear Parabolic Equations

Numerical Methods for Solving Inverse Problems of Mathematical Physics

Numerical Methods for Solving Inverse Problems of Mathematical Physics

A Collection of Problems on Mathematical Physics

A Collection of Problems on Mathematical Physics

Equations of Mathematical Physics

Equations of Mathematical Physics

Blow-Up in Quasilinear Parabolic Equations

Blow-Up in Quasilinear Parabolic Equations

Numerical Methods for Grid Equations

Numerical Methods for Grid Equations

A Collection of Problems on Mathematical Physics

A Collection of Problems on Mathematical Physics

Numerical Methods for Solving Inverse Problems of Mathematical Physics

Numerical Methods for Solving Inverse Problems of Mathematical Physics

Daily Reflections

Daily Reflections

Alcoholics Anonymous Big Book

Alcoholics Anonymous Big Book

Alcoholics Anonymous - Big Book Special Edition - Including

Alcoholics Anonymous - Big Book Special Edition - Including

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