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JC
2008
96views more  JC 2008»
15 years 2 months ago
Adaptivity and computational complexity in the numerical solution of ODEs
In this paper we analyze the problem of adaptivity for one-step numerical methods for solving ODEs, both IVPs and BVPs, with a view to generating grids of minimal computational co...
Silvana Ilie, Gustaf Söderlind, Robert M. Cor...
AMC
2005
112views more  AMC 2005»
15 years 2 months ago
Time-accurate solutions of Korteweg-de Vries equation using wavelet Galerkin method
In this study we propose a space and time-accurate numerical method for Korteweg
B. V. Rathish Kumar, Mani Mehra
126
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SIAMSC
2008
146views more  SIAMSC 2008»
15 years 2 months ago
Long Time Numerical Solution of the Navier--Stokes Equations Based on a Sequential Regularization Formulation
Abstract. The sequential regularization method is a reformulation of the unsteady Navier-Stokes equations from the view point of constrained dynamical systems or approximate Helmho...
Ping Lin, Jian-Guo Liu, Xiliang Lu
ISSAC
2007
Springer
99views Mathematics» more  ISSAC 2007»
15 years 8 months ago
Computing monodromy via parallel homotopy continuation
Numerical homotopy continuation gives a powerful tool for the applied scientist who seeks solutions to a system of polynomial equations. Techniques from numerical homotopy continu...
Anton Leykin, Frank Sottile
SMA
2005
ACM
109views Solid Modeling» more  SMA 2005»
15 years 8 months ago
Numerical decomposition of geometric constraints
Geometric constraint solving is a key issue in CAD/CAM. Since Owen’s seminal paper, solvers typically use graph based decomposition methods. However, these methods become diffi...
Sebti Foufou, Dominique Michelucci, Jean-Paul Jurz...