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

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https://doi.org/10.1007/1-84628-447-3The application of suitable defect correction algorithms to stiff differential equations is analyzed. The .-convergence properties of such algorithms are discussed.

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Introduction: From Communism to Democracy?We combine four recently developed methodologies to provide a computational basis for function space problems (e. g. differential equations, integral equations …).

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Defect Correction Algorithms for Stiff Ordinary Differential EquationsThe application of suitable defect correction algorithms to stiff differential equations is analyzed. The .-convergence properties of such algorithms are discussed.

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Simultaneous Newton’s Iteration for the EigenproblemFor an ill-conditioned eigenproblem (close eigenvalues and/or almost parallel eigenvectors) it is advisable to group some eigenvalues and to compute a basis of the corresponding invariant subspace. We show how Newton’s method may be used for the iterative refinement of an approximate invariant subspace.