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JCAM
2011
91views more  JCAM 2011»
12 years 7 months ago
Numerical solution of linear Volterra integral equations of the second kind with sharp gradients
Collocation methods are a well developed approach for the numerical solution of smooth and weakly-singular Volterra integral equations. In this paper we extend these methods, thro...
Samuel A. Isaacson, Robert M. Kirby
SIAMNUM
2010
113views more  SIAMNUM 2010»
12 years 11 months ago
Compactness Properties of the DG and CG Time Stepping Schemes for Parabolic Equations
Abstract. It is shown that for a broad class of equations that numerical solutions computed using the discontinuous Galerkin or the continuous Galerkin time stepping schemes of arb...
Noel Walkington
ENTCS
2008
64views more  ENTCS 2008»
13 years 4 months ago
Effective Computability of Solutions of Ordinary Differential Equations The Thousand Monkeys Approach
In this note we consider the computability of the solution of the initial-value problem for ordinary differential equations with continuous right-hand side. We present algorithms ...
Pieter Collins, Daniel S. Graça
CORR
2010
Springer
174views Education» more  CORR 2010»
13 years 4 months ago
Hybrid Numerical Solution of the Chemical Master Equation
We present a numerical approximation technique for the analysis of continuous-time Markov chains that describe networks of biochemical reactions and play an important role in the ...
Thomas A. Henzinger, Maria Mateescu, Linar Mikeev,...