This book reflects the modern level of the theory of problem-solving differential methods in mathematical physics. The main results of the stability and convergence of the approximate boundary problem solving for many-dimensional equations with partial derivatives are obtained in the works of Russian scientists and are practically not covered in the monograph and textbooks published in the West. At the present time the main attention in computational mathematics is paid to the theory and practice of the method of finite elements. The books available in English are oriented to the basic training of specialists. The book is intended for specialists in numerical methods for the solution of mathematical physics problems; the exposition is easily understood by senior students of universities.
Difference Schemes with Operator Factors
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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variable weighted factors, additive difference schemes, direction sweep method, component wise splitting, schemes with operator factors, symmetrizable difference schemes, factorized scheme, summarized approximation, domain decomposition schemes, exchange boundary conditions, additive schemes, general stability theory, grid analog, stable difference schemes, variable weighting factors, conjugation conditions, locally refined grids, new time level, adaptation zone, piecewise smooth solutions, fictitious nodes, differential problem, energy identity, operator inequalities, operator inequality Key Phrases - Capitalized Phrases (CAPs): (learn more)
Initial Data Consider, Open University Press, Applying the Cauchy, Weights Let New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
variable weighted factors, additive difference schemes, direction sweep method, component wise splitting, schemes with operator factors, symmetrizable difference schemes, factorized scheme, summarized approximation, domain decomposition schemes, exchange boundary conditions, additive schemes, general stability theory, grid analog, stable difference schemes, variable weighting factors, conjugation conditions, locally refined grids, new time level, adaptation zone, piecewise smooth solutions, fictitious nodes, differential problem, energy identity, operator inequalities, operator inequality Key Phrases - Capitalized Phrases (CAPs): (learn more)
Initial Data Consider, Open University Press, Applying the Cauchy, Weights Let New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 36
books:
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2
books
cite this book:
- Differential Equations (Springer series in Soviet mathematics) by A.N. Tikhonov in Back Matter
- Domain Decomposition Methods in Science and Engineering (Lecture Notes in Computational Science and Engineering) by Ralf Kornhuber in Back Matter
- Numerical Approximation by B Morton in Back Matter
- Introduction to Parallel and Vector Solution of Linear Systems (Frontiers in Computer Science) by James M. Ortega in Back Matter
- Boundary Value Problems of Mathematical Physics (Proceedings of the Steklov Institute of Mathematics) by O. A. Ladyzhenskaya in Back Matter
See all 36 books this book cites
- Numerical Methods and Applications: 5th International Conference, NMA 2002, Borovets, Bulgaria, August 20-24, 2002, Revised Papers (Lecture Notes in Computer Science) (v. 2542) by Ivan Dimov on page 60
- Proceedings of the Sixth International Conference on Difference Equations Augsburg, Germany 2001: New Progress in Difference Equations by Bernd Aulbach on page 514
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