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TOMS
2008
87views more  TOMS 2008»
13 years 5 months ago
Efficient Contouring on Unstructured Meshes for Partial Differential Equations
We introduce three fast contouring algorithms for visualizing the solution of Partial Differential Equations based on the PCI (Pure Cubic Interpolant). The PCI is a particular pie...
Hassan Goldani-Moghaddam, Wayne H. Enright
MP
2002
101views more  MP 2002»
13 years 5 months ago
Componentwise fast convergence in the solution of full-rank systems of nonlinear equations
The asymptotic convergence of parameterized variants of Newton's method for the solution of nonlinear systems of equations is considered. The original system is perturbed by a...
Nicholas I. M. Gould, Dominique Orban, Annick Sart...
ISSAC
1993
Springer
119views Mathematics» more  ISSAC 1993»
13 years 9 months ago
Finding all Hypergeometric Solutions of Linear Differential Equations
Hypergeometric sequences are such that the quotient of two successive terms is a fixed rational function of the index. We give a generalization of M. Petkov6ek’s algorithm to fi...
Marko Petkovsek, Bruno Salvy
DM
2000
127views more  DM 2000»
13 years 5 months ago
Special formal series solutions of linear operator equations
The transformation which assigns to a linear operator L the recurrence satisfied by coefficient sequences of the polynomial series in its kernel, is shown to be an isomorphism of ...
Sergei A. Abramov, Marko Petkovsek, Anna A. Ryaben...
JSCIC
2008
107views more  JSCIC 2008»
13 years 5 months ago
A Hierarchy of Approximations of the Master Equation Scaled by a Size Parameter
Solutions of the master equation are approximated using a hierarchy of models based on the solution of ordinary differential equations: the macroscopic equations, the linear noise...
Lars Ferm, Per Lötstedt, Andreas Hellander