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AMC
2005
154views more  AMC 2005»
13 years 5 months ago
Solving Laplacian problems with boundary singularities: a comparison of a singular function boundary integral method with the p/
We solve a Laplacian problem over an L-shaped domain using a singular function boundary integral method as well as the p/hp finite element method. In the former method, the soluti...
Miltiades Elliotis, Georgios Georgiou, Christos Xe...
CDC
2008
IEEE
129views Control Systems» more  CDC 2008»
13 years 7 months ago
Optimal control of a fedbatch fermentation process: Numerical methods, sufficient conditions and sensitivity analysis
Bang-bang and singular optimal controls in a fedbatch fermentation process are computed for a range of time horizons. Numerical algorithms for determining the optimal control struc...
Adam Korytowski, Maciej Szymkat, Helmut Maurer, Ge...
SIAMNUM
2010
178views more  SIAMNUM 2010»
13 years 8 hour ago
A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
In the numerical simulation of many practical problems in physics and engineering, finite volume methods are an important and popular class of discretization methods due to the loc...
Long Chen
MOC
2010
13 years 1 days ago
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
In this paper, a Jacobi-collocation spectral method is developed for Volterra integral equations of the second kind with a weakly singular kernel. We use some function transformati...
Yanping Chen, Tao Tang
MOC
1998
90views more  MOC 1998»
13 years 4 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