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2014
In Chap. 3, we discussed the main ideas of fully reliable error control methods and the corresponding numerical algorithms with the paradigm of simple elliptic type problems. This chapter is intended to show a deep connection between a posteriori estimates of the functional type and physical relations generating the problem.
Olli Mali +2 more
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In Chap. 3, we discussed the main ideas of fully reliable error control methods and the corresponding numerical algorithms with the paradigm of simple elliptic type problems. This chapter is intended to show a deep connection between a posteriori estimates of the functional type and physical relations generating the problem.
Olli Mali +2 more
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Error‐bounded Image Triangulation
Computer Graphics Forum, 2023AbstractWe propose a novel image triangulation method to reduce the complexity of image triangulation under the color error‐bounded constraint and the triangle quality constraint. Meanwhile, we realize a variety of visual effects by supporting different types of triangles (e.g., linear or curved) and color approximation functions (e.g., constant ...
Zhi‐Duo Fang +3 more
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Sufficient Conditions for Error Bounds
SIAM Journal on Optimization, 2002Summary: For a lower semicontinuous (l.s.c.) inequality system on a Banach space, it is shown that error bounds hold, provided every element in an abstract subdifferential of the constraint function at each point outside the solution set is norm bounded away from zero. A sufficient condition for a global error bound to exist is also given for an l.s.c.
Wu, Zili, Ye, Jane J.
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Error Bound for Conic Inequality
Vietnam Journal of Mathematics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zheng, Xi Yin, Ng, Kung Fu
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Error Bounds for Perturbing Nonexponential Queues
Mathematics of Operations Research, 2004A general framework is provided to derive analytic error bounds for the effect of perturbations and inaccuracies of nonexponential service or arrival distributions in single- and multiserver queues. The general framework is worked out in detail for the three types of finite or infinite buffer queues: GI/G/1/N, M/G/c/N, and GI/M/c/N.
van Dijk, N.M., Miyazawa, M.
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Interval Arithmetic Error-Bounding Algorithms
SIAM Journal on Numerical Analysis, 1975This paper first exposes some of the defects in the interval arithmetic algorithms of Moore and Kruckeberg. Then it identifies classes of problems on which these algorithms compute “optimum bounds”.
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Error-bounded compatible remeshing
ACM Transactions on Graphics, 2020We present a novel method to construct compatible surface meshes with bounded approximation errors. Given two oriented and topologically equivalent surfaces and a sparse set of corresponding landmarks, our method contains two steps: (1) generate compatible meshes with bounded approximation errors and (2) reduce mesh complexity while ensuring that ...
Yang Yang +4 more
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Error Bounds for Convex Polynomials
SIAM Journal on Optimization, 2009In this paper, the author establishes new properties of convex multivariate polynomials, using convex analysis. The author shows that for a convex polynomial \(f\) which is not constant on any affine subspace, if the lower level set of \(f\) (i.e., the set where \(f\) is nonpositive) is unbounded, then \(f\) can be represented as a sum of a convex ...
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