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AMC
2007
87views more  AMC 2007»
15 years 4 months ago
Generalized Clenshaw-Curtis quadrature rule with application to a collocation least-squares method
This paper deals with an extension of one-dimensional Clenshaw–Curtis quadrature rule to Rd ; d P 2 on a convex domain. As one of its applications, we apply this quadrature rule...
Changho Kim, Sang Dong Kim, Jungho Yoon
MCS
2008
Springer
15 years 4 months ago
A nonsmooth Newton's method for control-state constrained optimal control problems
We investigate optimal control problems subject to mixed control-state constraints. The necessary conditions are stated in terms of a local minimum principle. By use of the Fischer...
Matthias Gerdts
SIAMSC
2008
90views more  SIAMSC 2008»
15 years 4 months ago
Norm Preconditioners for Discontinuous Galerkin hp-Finite Element Methods
We consider a norm-preconditioning approach for the solution of discontinuous Galerkin finite element discretizations of second order PDE with non-negative characteristic form. In ...
Emmanuil H. Georgoulis, Daniel Loghin
MOC
2002
98views more  MOC 2002»
15 years 4 months ago
Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems
Abstract. A new strategy to avoid the order reduction of Runge-Kutta methods when integrating linear, autonomous, nonhomogeneous initial boundary value problems is presented. The s...
Mari Paz Calvo, Cesar Palencia
SIAMJO
2008
81views more  SIAMJO 2008»
15 years 2 months ago
A First-Order Convergence Analysis of Trust-Region Methods with Inexact Jacobians
A class of trust-region algorithms is developed and analyzed for the solution of minimization problems with nonlinear inequality constraints. Based on composite-step trust region ...
Andrea Walther