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SIAMCO
2008
116views more  SIAMCO 2008»
13 years 7 months ago
Optimal Reflection of Diffusions and Barrier Options Pricing under Constraints
We introduce a new class of control problems in which the gain depends on the solution of a stochastic differential equation reflected at the boundary of a bounded domain, along d...
Bruno Bouchard
SIAMCO
2011
13 years 2 months ago
Nonlinear Black-Scholes Equations in Finance: Associated Control Problems and Properties of Solutions
We study properties of solutions to fully nonlinear versions of the standard Black– Scholes partial differential equation. These equations have been introduced in financial mat...
Rüdiger Frey, Ulrike Polte
SIAMCO
2002
128views more  SIAMCO 2002»
13 years 7 months ago
Generalized Solutions in Nonlinear Stochastic Control Problems
An optimal stochastic control problem is considered for systems with unbounded controls satisfying an integral constraint. It is shown that there exists an optimal control within t...
F. Dufour, Boris M. Miller
CSCLP
2006
Springer
13 years 11 months ago
Complexity of a CHR Solver for Existentially Quantified Conjunctions of Equations over Trees
Abstract. Constraint Handling Rules (CHR) is a concurrent, committed-choice, rule-based language. One of the first CHR programs is the classic constraint solver for syntactic equal...
Marc Meister, Khalil Djelloul, Thom W. Frühwi...
MCS
2008
Springer
13 years 7 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...