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103
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JC
2008
96views more  JC 2008»
15 years 16 days 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...
78
Voted
AMC
2005
112views more  AMC 2005»
15 years 14 days 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
107
Voted
SIAMSC
2008
146views more  SIAMSC 2008»
15 years 15 days 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
111
Voted
ISSAC
2007
Springer
99views Mathematics» more  ISSAC 2007»
15 years 6 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 6 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...