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» Stability of Runge-Kutta methods for quasilinear parabolic p...
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MOC
2000
83views more  MOC 2000»
13 years 6 months ago
Stability and B-convergence properties of multistep Runge-Kutta methods
This paper continues earlier work by the same author concerning the stability and B-convergence properties of multistep Runge-Kutta methods for the numerical solution of nonlinear ...
Shoufu Li
AMC
2008
92views more  AMC 2008»
13 years 6 months ago
Explicit multi-step peer methods for special second-order differential equations
The construction of s-stage explicit two- and three-step peer methods of order p = 2s and p = 3s is considered for the solution of non-stiff second order initial value problems wh...
Stefan Jebens, Rüdiger Weiner, Helmut Podhais...
IJCM
2010
108views more  IJCM 2010»
13 years 4 months ago
Lifting solutions of quasilinear convection-dominated problems
The steady state of the quasilinear convection-diffusion-reaction equation ut − (D(u) u) + b(u) u + c(u) = 0 (1) is studied. Depending on the ratio between convection and diff...
J. A. Ferreira, A. P. Mouro, P. Oliveira
AUTOMATICA
2011
13 years 1 months ago
Sequential linear quadratic control of bilinear parabolic PDEs based on POD model reduction
We present a framework to solve a finite-time optimal control problem for parabolic partial differential equations (PDEs) with diffusivity-interior actuators, which is motivate...
Chao Xu, Yongsheng Ou, Eugenio Schuster