Robust Geometric Computation
by Kurt Mehlhorn, Chee Yap
Publisher: New York University 2004
Contents: Introduction to Geometric Nonrobustness; Modes of Numerical Computation; Geometric Computation; Arithmetic Approaches; Geometric Approaches; Exact Geometric Computation; Perturbation; Filters; Algebraic Background; Zero Bounds; Numerical Algebraic Computing; Newton Methods; Curves; Surfaces.
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The solution of time dependent equations of hydrodynamics is a subject of great importance. This book is mainly concentrated on the study of the stability of the various schemes. We have considered only the stability for linearized problems.
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