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ISSAC
2009
Springer
147views Mathematics» more  ISSAC 2009»
14 years 5 months ago
Fast algorithms for differential equations in positive characteristic
We address complexity issues for linear differential equations in characteristic p > 0: resolution and computation of the p-curvature. For these tasks, our main focus is on al...
Alin Bostan, Éric Schost
MOC
1998
90views more  MOC 1998»
13 years 10 months ago
Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
The numerical solution of a parabolic equation with memory is considered. The equation is first discretized in time by means of the discontinuous Galerkin method with piecewise co...
Stig Larsson, Vidar Thomée, Lars B. Wahlbin
SOCO
2002
Springer
13 years 10 months ago
Fuzzy relation equations (I): the general and specialized solving algorithms
In this article, we develop a new method and an algorithm to solve a system of fuzzy relation equations. We first introduce a solution-base-matrix and then give a tractable mathema...
Li Chen, Paul P. Wang
DLT
2009
13 years 8 months ago
On the Complexity of Hmelevskii's Theorem and Satisfiability of Three Unknown Equations
Abstract. We analyze Hmelevskii's theorem, which states that the general solutions of constant-free equations on three unknowns are expressible by a finite collection of formu...
Aleksi Saarela
HASKELL
2009
ACM
14 years 5 months ago
A compositional theory for STM Haskell
We address the problem of reasoning about Haskell programs that use Software Transactional Memory (STM). As a motivating example, we consider Haskell code for a concurrent non-det...
Johannes Borgström, Karthikeyan Bhargavan, An...