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TEC
2008
139views more  TEC 2008»
13 years 7 months ago
Genetic Programming Approaches for Solving Elliptic Partial Differential Equations
In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation pr...
Andras Sobester, Prasanth B. Nair, Andy J. Keane
ISSAC
2009
Springer
147views Mathematics» more  ISSAC 2009»
14 years 1 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
APPML
2011
13 years 2 months ago
An operator theoretical approach to a class of fractional order differential equations
We propose a general method to obtain the representation of solutions for linear fractional order differential equations based on the theory of (a, k)-regularized families of oper...
Carlos Lizama

Book
1702views
15 years 5 months ago
Numerical Methods with Applications
"Mathematical models are an integral part in solving engineering problems. Many times, these mathematical models are derived from engineering and science principles, while at ...
Autar K Kaw, Egwu E Kalu
CP
1999
Springer
13 years 11 months ago
An Interval Constraint Approach to Handle Parametric Ordinary Differential Equations for Decision Support
The behaviour of many systems is naturally modelled by a set of ordinary differential equations (ODEs) which are parametric. Since decisions are often based on relations over these...
Jorge Cruz, Pedro Barahona