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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 4 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 5 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 3 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
12 years 12 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