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CORR
2006
Springer
101views Education» more  CORR 2006»
13 years 5 months ago
Fast computation of power series solutions of systems of differential equations
We propose algorithms for the computation of the first N terms of a vector (or a full basis) of power series solutions of a linear system of differential equations at an ordinary ...
Alin Bostan, Frédéric Chyzak, Fran&c...
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

Book
19360views
15 years 4 months ago
Numerical Recipes in C
C code implementation of several math algorithms such as Linear Algebraic Equations, Interpolation and Extrapolation, Integration of Functions, Evaluation of Functions, Random Num...
William H. Press, Saul A. Teukolsky, William T. Ve...
ISSAC
2007
Springer
147views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Differential equations for algebraic functions
It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their po...
Alin Bostan, Frédéric Chyzak, Bruno ...
ADCM
2010
270views more  ADCM 2010»
13 years 5 months ago
A fast algorithm for the total variation model of image denoising
The total variation model of Rudin, Osher, and Fatemi for image denoising is considered to be one of the best denoising models. In the past, its solutions were based on nonlinear ...
Rong-Qing Jia, Hanqing Zhao