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» In Praise of Numerical Computation
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MCS
2007
Springer
15 years 6 months ago
Discrete conservation of nonnegativity for elliptic problems solved by the hp-FEM
Most results related to discrete nonnegativity conservation principles (DNCP) for elliptic problems are limited to finite differences (FDM) and lowest-order finite element meth...
Pavel Solín, Tomás Vejchodský...
CAD
2000
Springer
15 years 6 months ago
Error propagation in geometric constructions
In this paper we consider error propagation in geometric constructions from a geometric viewpoint. First we study affine combinations of convex bodies: This has numerous examples ...
Johannes Wallner, Rimvydas Krasauskas, Helmut Pott...
INFORMATICALT
1998
105views more  INFORMATICALT 1998»
15 years 6 months ago
Parallel Implementation of a Generalized Conjugate Gradient Algorithm
This paper presents a parallel version of a Generalized Conjugate Gradient algorithm proposed by Liu and Story in which the search direction considers the effect of the inexact lin...
Jonas Koko, Aziz Moukrim
ARITH
2007
IEEE
16 years 27 days ago
How to Ensure a Faithful Polynomial Evaluation with the Compensated Horner Algorithm
The compensated Horner algorithm improves the accuracy of polynomial evaluation in IEEE-754 floating point arithmetic: the computed result is as accurate as if it was computed wi...
Philippe Langlois, Nicolas Louvet
ETVC
2008
15 years 8 months ago
Discrete Curvature Flows for Surfaces and 3-Manifolds
Intrinsic curvature flows can be used to design Riemannian metrics by prescribed curvatures. This chapter presents three discrete curvature flow methods that are recently introduce...
Xiaotian Yin, Miao Jin, Feng Luo 0002, Xianfeng Da...