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» Developmental Partial Differential Equations
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MOC
2002
148views more  MOC 2002»
14 years 9 months ago
Convergence of an iterative algorithm for solving Hamilton-Jacobi type equations
Abstract. Solutions of the optimal control and H-control problems for nonlinear affine systems can be found by solving Hamilton-Jacobi equations. However, these first order nonline...
Jerry Markman, I. Norman Katz
VC
2008
115views more  VC 2008»
14 years 9 months ago
Lattice Boltzmann based PDE solver on the GPU
In this paper, we propose a hardware-accelerated PDE (partial differential equation) solver based on the lattice Boltzmann model (LBM). The LBM is initially designed to solve fluid...
Ye Zhao
JOTA
2010
144views more  JOTA 2010»
14 years 4 months ago
On a PDE Arising in One-Dimensional Stochastic Control Problems
The paper provides a systematic way for finding a partial differential equation that directly characterizes the optimal control, in the framework of one
Ricardo Josa-Fombellida, Juan Pablo Rincón-...
MCS
2008
Springer
14 years 9 months ago
Numerical optimal control of the wave equation: optimal boundary control of a string to rest in finite time
In many real-life applications of optimal control problems with constraints in form of partial differential equations (PDEs), hyperbolic equations are involved which typically desc...
Matthias Gerdts, Günter Greif, Hans Josef Pes...
SIAMNUM
2010
87views more  SIAMNUM 2010»
14 years 4 months ago
Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations
In this paper, we first study two flux recovery procedures for the conforming finite element approximation to general second-order elliptic partial differential equations. One is a...
Zhiqiang Cai, Shun Zhang