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APPML
2011
13 years 2 months ago
An operator theoretical approach to a class of fractional order differential equations
We propose a general method to obtain the representation of solutions for linear fractional order differential equations based on the theory of (a, k)-regularized families of oper...
Carlos Lizama
VECPAR
2004
Springer
14 years 27 days ago
Domain Decomposition Methods for PDE Constrained Optimization Problems
Abstract. Optimization problems constrained by nonlinear partial differential equations have been the focus of intense research in scientific computing lately. Current methods for...
Ernesto E. Prudencio, Richard H. Byrd, Xiao-Chuan ...
SIAMSC
2008
179views more  SIAMSC 2008»
13 years 7 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
ICTAI
2008
IEEE
14 years 1 months ago
The Performance of Approximating Ordinary Differential Equations by Neural Nets
—The dynamics of many systems are described by ordinary differential equations (ODE). Solving ODEs with standard methods (i.e. numerical integration) needs a high amount of compu...
Josef Fojdl, Rüdiger W. Brause
FLAIRS
2004
13 years 9 months ago
Iterative Improvement of Neural Classifiers
A new objective function for neural net classifier design is presented, which has more free parameters than the classical objective function. An iterative minimization technique f...
Jiang Li, Michael T. Manry, Li-min Liu, Changhua Y...