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» Periodic solutions for second order differential equations
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PODS
2005
ACM
130views Database» more  PODS 2005»
14 years 8 months ago
Differential constraints
Direct reductions of partial differential equations to systems of ordinary differential equations are in one-to-one correspondence with compatible differential constraints. The dif...
Bassem Sayrafi, Dirk Van Gucht
JSCIC
2006
72views more  JSCIC 2006»
13 years 8 months ago
Space-Time Adaptive Solution of First Order PDES
An explicit time-stepping method is developed for adaptive solution of time-dependent partial differential equations with first order derivatives. The space is partitioned into bl...
Lars Ferm, Per Lötstedt
ISSAC
2005
Springer
141views Mathematics» more  ISSAC 2005»
14 years 2 months ago
Algebraic general solutions of algebraic ordinary differential equations
In this paper, we give a necessary and sufficient condition for an algebraic ODE to have an algebraic general solution. For an autonomous first order ODE, we give an optimized bo...
J. M. Aroca, J. Cano, Ruyong Feng, Xiao-Shan Gao
CORR
2006
Springer
101views Education» more  CORR 2006»
13 years 8 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...
IPPS
2009
IEEE
14 years 3 months ago
Dynamic iterations for the solution of ordinary differential equations on multicore processors
In the past few years, there has been a trend of providing increased computing power through greater number of cores on a chip, rather than through higher clock speeds. In order t...
Yanan Yu, Ashok Srinivasan