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114
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MOC
2010
14 years 10 months ago
Integral deferred correction methods constructed with high order Runge-Kutta integrators
Spectral deferred correction (SDC) methods for solving ordinary differential equations (ODEs) were introduced by Dutt, Greengard and Rokhlin [5]. It was shown in [5] that SDC metho...
Andrew J. Christlieb, Benjamin W. Ong, Jing-Mei Qi...
162
Voted

Publication
289views
14 years 1 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi
LSSC
2001
Springer
15 years 8 months ago
A Quasi-Monte Carlo Method for Integration with Improved Convergence
Abstract. Quasi-Monte Carlo methods are based on the idea that random Monte Carlo techniques can often be improved by replacing the underlying source of random numbers with a more ...
Aneta Karaivanova, Ivan Dimov, Sofiya Ivanovska
JUCS
2008
180views more  JUCS 2008»
15 years 3 months ago
A Novel Multi-Layer Level Set Method for Image Segmentation
: In this paper, a new multi-layer level set method is proposed for multi-phase image segmentation. The proposed method is based on the conception of image layer and improved numer...
Xiaofeng Wang, De-Shuang Huang
101
Voted
SIAMSC
2010
115views more  SIAMSC 2010»
15 years 1 months ago
A New Level Set Method for Motion in Normal Direction Based on a Semi-Implicit Forward-Backward Diffusion Approach
We introduce a new level set method for motion in normal direction. It is based on a formulation in the form of a second order forward-backward diffusion equation. The equation is...
Karol Mikula, Mario Ohlberger