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SIAMSC
2010
145views more  SIAMSC 2010»
13 years 2 months ago
An "hp" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
We present a new "hp" parameter multi-domain certified reduced basis method for rapid and reliable online evaluation of functional outputs associated with parametrized el...
Jens L. Eftang, Anthony T. Patera, Einar M. R&osla...
MOC
1998
73views more  MOC 1998»
13 years 7 months ago
Efficient Runge-Kutta integrators for index-2 differential algebraic equations
Abstract. In seeking suitable Runge-Kutta methods for differential algebraic equations, we consider singly-implicit methods to which are appended diagonally-implicit stages. Metho...
J. C. Butcher, R. P. K. Chan
MOC
1998
144views more  MOC 1998»
13 years 7 months ago
Convergence of a random walk method for a partial differential equation
Abstract. A Cauchy problem for a one–dimensional diffusion–reaction equation is solved on a grid by a random walk method, in which the diffusion part is solved by random walk...
Weidong Lu
JAT
2008
56views more  JAT 2008»
13 years 7 months ago
Some examples of orthogonal matrix polynomials satisfying odd order differential equations
It is well known that if a finite order linear differential operator with polynomial coefficients has as eigenfunctions a sequence of orthogonal polynomials with respect to a posi...
Antonio J. Durán Guardeño, Manuel D....
IPPS
2009
IEEE
14 years 2 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