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 Estimatesrror 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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Local Defect Correction Method and Domain Decomposition Techniquesa subdomain. The convergence rate of the local defect correction iteration is proved to be proportional to a certain positive power of the step size. The accuracy of the converged solution can be described. Numerical examples confirm the theoretical results. We discuss multi-grid iterations convergi

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Fast Adaptive Composite Grid (FAC) Methods: Theory for the Variational Caseed to local defect corrections (LDC) and multilevel adaptive techniques (MLAT), an important difference is that FAC forces the user to specify the discrete problem on the finest composite grid — it is not rather an implicit result of the adaptive process. The advantages are that FAC can more readily

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Deferred Corrections Software and Its Application to Seismic Ray Tracingary value problems, but mentioning also some work on partial differential equations. Then we describe the latest code on the PASVA series (No. 4), which extends the earlier one to problems with discontinuous data and mixed systems of differential and algebraic conditions. Finally, an example of appl

ACRID

Numerical Engineering: Experiences in Designing PDE Software with Selfadaptive Variable Step Size/Va order difference methods are presented. The error is estimated by the difference of difference formulae, using members of families of difference formulae. Basic solution methods are developed for the solution of the BVP and the IVP for ODE’s. These methods are extended and combined to solution meth

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Book 1984list 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

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