Numerical Methods and Error Bounds
Proceedings of the IMACS-GAMM International Symposium on Numerical Methods and Error Bounds held in Oldenburg, Germany, July 9-12, 1995
Published on 1. September 1996
Book
Paperback/Softback
303 pages
978-3-05-501696-7 (ISBN)
Description
This collection of symposium papers presents results in the field of development and investigation of numerical algorithms under the aspect of constructing proper error bounds for approximated solutions. Topics include systems of linear and nonlinear equations, ordinary and partial differential equation solvers, data fitting methods, computer geometry, interval arithmetic, computer arithmetic, and selected problems in theoretical mechanics.
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Content
Partial table of contents:; A Low-Degree Approximation for Layer Solution of Singularly Pertubed Problems (N. Ad i ); Symmetric Linear Systems with Pertubed Input Data (G. Alefeld, et al.); Two-sided Methods Based on Defects (B. Dobronets); Practical Error Estimates for the Gau -Kronrod Quadature Formula (S. Ehrich); Error-bounding in Level-index Computer Arithmetic (D. Lozier & P. Turner); On the Calculation of the Q-order and R-order for Coupled Sequences (L. Metzner); Comparison of Higher Order Runge Kutta Methods for Chaotic Vibrations of Double Pendulum (Y. Nath & B. Lenka); Determination of the Exact Sign of a Sum (H. Ratschek & J. Rokne); A Posteriori Error Estimates for Operator Equations (L. S awik & A. Karafiat); SOR-like Methods for the Simultaneous Determination of Polynomial Zeros (T. Yamamoto); List of Participants.