Difference Methods Of Solving Problems Of Mathematical Physics
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Difference Methods For Solutions Of Problems Of Mathematical Physics I
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Author : Nikolaĭ Nikolaevich I︠A︡nenko
language : en
Publisher: American Mathematical Soc.
Release Date : 1967
Difference Methods For Solutions Of Problems Of Mathematical Physics I written by Nikolaĭ Nikolaevich I︠A︡nenko 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 1967 with Mathematics categories.
Difference Methods Of Solving Problems Of Mathematical Physics Ii
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Author : Nikolaĭ Nikolaevich I︠A︡nenko
language : en
Publisher: American Mathematical Soc.
Release Date : 1970
Difference Methods Of Solving Problems Of Mathematical Physics Ii written by Nikolaĭ Nikolaevich I︠A︡nenko 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 1970 with Mathematics categories.
Discusses solving difference equations in physics.
Traditional Functional Discrete Methods For The Problems Of Mathematical Physics
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Author : Volodymyr Makarov
language : en
Publisher: John Wiley & Sons
Release Date : 2024-03-26
Traditional Functional Discrete Methods For The Problems Of Mathematical Physics written by Volodymyr Makarov and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-26 with Science categories.
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.
The Theory Of Difference Schemes
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Author : Alexander A. Samarskii
language : en
Publisher: CRC Press
Release Date : 2001-03-29
The Theory Of Difference Schemes written by Alexander A. Samarskii and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-29 with Mathematics categories.
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."
Inverse Problems For Maxwell S Equations
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Author : V. G. Romanov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-10-10
Inverse Problems For Maxwell S Equations written by V. G. Romanov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-10 with Mathematics categories.
No detailed description available for "Inverse Problems for Maxwell's Equations".
Optimization In Solving Elliptic Problems
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Author : Eugene G. D'yakonov
language : en
Publisher: CRC Press
Release Date : 2018-05-04
Optimization In Solving Elliptic Problems written by Eugene G. D'yakonov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
Optimization in Solving Elliptic Problems focuses on one of the most interesting and challenging problems of computational mathematics - the optimization of numerical algorithms for solving elliptic problems. It presents detailed discussions of how asymptotically optimal algorithms may be applied to elliptic problems to obtain numerical solutions meeting certain specified requirements. Beginning with an outline of the fundamental principles of numerical methods, this book describes how to construct special modifications of classical finite element methods such that for the arising grid systems, asymptotically optimal iterative methods can be applied. Optimization in Solving Elliptic Problems describes the construction of computational algorithms resulting in the required accuracy of a solution and having a pre-determined computational complexity. Construction of asymptotically optimal algorithms is demonstrated for multi-dimensional elliptic boundary value problems under general conditions. In addition, algorithms are developed for eigenvalue problems and Navier-Stokes problems. The development of these algorithms is based on detailed discussions of topics that include accuracy estimates of projective and difference methods, topologically equivalent grids and triangulations, general theorems on convergence of iterative methods, mixed finite element methods for Stokes-type problems, methods of solving fourth-order problems, and methods for solving classical elasticity problems. Furthermore, the text provides methods for managing basic iterative methods such as domain decomposition and multigrid methods. These methods, clearly developed and explained in the text, may be used to develop algorithms for solving applied elliptic problems. The mathematics necessary to understand the development of such algorithms is provided in the introductory material within the text, and common specifications of algorithms that have been developed for typical problems in mathema
Difference Methods Of Solving Problems Of Mathematical Physics Ii
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Author : Nikolaĭ Nikolaevich I︠A︡nenko
language : en
Publisher:
Release Date : 1975
Difference Methods Of Solving Problems Of Mathematical Physics Ii written by Nikolaĭ Nikolaevich I︠A︡nenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Difference equations categories.
Encyclopaedia Of Mathematics
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Author : M. Hazewinkel
language : en
Publisher: Springer
Release Date : 2013-12-01
Encyclopaedia Of Mathematics written by M. Hazewinkel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
Numerical Methods And Applications 1994
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Author : Guri I Marchuk
language : en
Publisher: CRC Press
Release Date : 2017-11-22
Numerical Methods And Applications 1994 written by Guri I Marchuk and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
This book presents new original numerical methods that have been developed to the stage of concrete algorithms and successfully applied to practical problems in mathematical physics. The book discusses new methods for solving stiff systems of ordinary differential equations, stiff elliptic problems encountered in problems of composite material mechanics, Navier-Stokes systems, and nonstationary problems with discontinuous data. These methods allow natural paralleling of algorithms and will find many applications in vector and parallel computers.
Encyclopaedia Of Mathematics
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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Encyclopaedia Of Mathematics written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.