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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On a Principle of Direct Defect Correction Based on A-Posteriori Error Estimates well as for nonlinear problems are analyzed. For a linear model problem of a singularly perturbed one-dimensional boundary value problem, computational results are presented where one defect correction step is performed using a self-adaptive finite element method.

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Fast Adaptive Composite Grid (FAC) Methods: Theory for the Variational Case meet practical objectives, does not suffer from some of the practical limitations of (“natural”) versions of LDC and MLAT, and lends itself to a simple theory. The latter is the subject of this paper.

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Book 1984rator 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 wo

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Solution of Linear and Nonlinear Algebraic Problems with Sharp, Guaranteed Boundsar equations, algebraic eigenvalue problems, nonlinear systems, polynomial zeros, evaluation of arithmetic expressions, linear, quadratic and convex programming and others. The new methods apply for these problems over the space of real numbers, complex numbers as well as real intervals and complex intervals.

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Deferred Corrections Software and Its Application to Seismic Ray Tracingch extends the earlier one to problems with discontinuous data and mixed systems of differential and algebraic conditions. Finally, an example of application of this code to two-point ray tracing on piece-wise continuous media is given.

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