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DAGSTUHL
2004
13 years 6 months ago
On the Complexity of Parabolic Initial Value Problems with Variable Drift
We study the intrinsic difficulty of solving linear parabolic initial value problems numerically at a single point. We present a worst case analysis for deterministic as well as fo...
Knut Petras, Klaus Ritter
SIAMSC
2008
179views more  SIAMSC 2008»
13 years 4 months ago
Multigrid Algorithms for Inverse Problems with Linear Parabolic PDE Constraints
Abstract. We present a multigrid algorithm for the solution of distributed parameter inverse problems constrained by variable-coefficient linear parabolic partial differential equa...
Santi S. Adavani, George Biros
PARA
2004
Springer
13 years 10 months ago
A Domain Theoretic Account of Euler's Method for Solving Initial Value Problems
Abstract. This paper presents a method of solving initial value problems using Euler’s method, based on the domain of interval valued functions of a real variable. In contrast to...
Abbas Edalat, Dirk Pattinson
CORR
2010
Springer
127views Education» more  CORR 2010»
12 years 12 months ago
Complexity of Data Dependence problems for Program Schemas with Concurrency
am analysis and has been widely studied. In this paper we consider this problem at the abstraction level of program schemas in which computations occur in the Herbrand domain of te...
Sebastian Danicic, Robert M. Hierons, Michael R. L...
GECCO
2010
Springer
191views Optimization» more  GECCO 2010»
13 years 9 months ago
Initialization parameter sweep in ATHENA: optimizing neural networks for detecting gene-gene interactions in the presence of sma
Recent advances in genotyping technology have led to the generation of an enormous quantity of genetic data. Traditional methods of statistical analysis have proved insufficient i...
Emily Rose Holzinger, Carrie C. Buchanan, Scott M....