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Titlebook: Defect Correction Methods; Theory and Applicati Klaus Böhmer,Hans J. Stetter Book 1984 Springer-Verlag/Wien 1984 algorithms.calculus.differ

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书目名称Defect Correction Methods
副标题Theory and Applicati
编辑Klaus Böhmer,Hans J. Stetter
视频video
丛书名称Computing Supplementa
图书封面Titlebook: Defect Correction Methods; Theory and Applicati Klaus Böhmer,Hans J. Stetter Book 1984 Springer-Verlag/Wien 1984 algorithms.calculus.differ
描述Ten years ago, the term "defect correction" was introduced to characterize a class of methods for the improvement of an approximate solution of an operator equation. This class includes many well-known techniques (e.g. Newton‘s method) but also some novel approaches which have turned out to be quite efficient. Meanwhile a large number of papers and reports, scattered over many journals and institutions, have appeared in this area. Therefore, a working conference on "Error Asymptotics and Defect Corrections" was organized by K. Bohmer, V. Pereyra and H. J. Stetter at the Mathematisches Forschungsinstitut Oberwolfach in July 1983, a meeting which aimed at bringing together a good number of the scientists who are active in this field. Altogether 26 persons attended, whose interests covered a wide spectrum from theoretical analyses to applications where defect corrections may be utilized; a list of the participants may be found in the Appendix. Most of the colleagues who presented formal lectures at the meeting agreed to publish their reports in this volume. It would be presumptuous to call this book a state-of-the-art report in defect corrections. It is rather a collection of snapshot
出版日期Book 1984
关键词algorithms; calculus; differential equation; finite element method; mathematics; complexity
版次1
doihttps://doi.org/10.1007/978-3-7091-7023-6
isbn_softcover978-3-211-81832-9
isbn_ebook978-3-7091-7023-6Series ISSN 0344-8029
issn_series 0344-8029
copyrightSpringer-Verlag/Wien 1984
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https://doi.org/10.1007/978-3-7091-7023-6algorithms; calculus; differential equation; finite element method; mathematics; complexity
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978-3-211-81832-9Springer-Verlag/Wien 1984
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Safety Case Practice - Meet the Challengerror improvement can be achieved which is controlled by a direct defect correction (or: residual improvement). The underlying mathematical theory is presented which is essentially based on the Inverse Function Theorem. As applications, defect corrections via projection methods for linear problems as
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https://doi.org/10.1007/1-84628-447-3ative aggregation methods for systems of linear equations are shown to be particular cases of a unifying framework based on the defect correction principle. Several convergence proofs using contraction arguments are given.
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The Rocky Road from Plan to Market is an iterative process in which two basic discretization schemes are used: one with and one without artificial diffusion. The resulting method is stable and yields a 2nd order accurate approximation in the smooth parts of the solution, without using any special directional bias in the discretizati
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Developments in Russian Politics 4ith an automatic verification of the correctness. Examples of such problems are systems of linear equations, over- and underdetermined systems of linear equations, algebraic eigenvalue problems, nonlinear systems, polynomial zeros, evaluation of arithmetic expressions, linear, quadratic and convex p
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