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CIE
2005
Springer
13 years 7 months ago
Domain-Theoretic Formulation of Linear Boundary Value Problems
Abstract. We present a domain theoretic framework for obtaining exact solutions of linear boundary value problems. Based on the domain of compact real intervals, we show how to app...
Dirk Pattinson
ENTCS
2006
118views more  ENTCS 2006»
13 years 5 months ago
Domain Theoretic Solutions of Initial Value Problems for Unbounded Vector Fields
This paper extends the domain theoretic method for solving initial value problems, described in [8], to unbounded vector fields. Based on a sequence of approximations of the vecto...
Abbas Edalat, Dirk Pattinson
CORR
2011
Springer
220views Education» more  CORR 2011»
13 years 3 days ago
On a linear programming approach to the discrete Willmore boundary value problem and generalizations
We consider the problem of finding (possibly non connected) discrete surfaces spanning a finite set of discrete boundary curves in the three-dimensional space and minimizing (glo...
Thomas Schoenemann, Simon Masnou, Daniel Cremers
ICALP
2004
Springer
13 years 10 months ago
A Domain Theoretic Account of Picard's Theorem
We present a domain-theoretic version of Picard’s theorem for solving classical initial value problems in Rn . For the case of vector fields that satisfy a Lipschitz condition, ...
Abbas Edalat, Dirk Pattinson
MOC
2002
98views more  MOC 2002»
13 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