Solving elliptic problems using ELLPACK
Solving elliptic problems using ELLPACK
Performance of scientific software
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ODEXPERT: an expert system to select numerical solvers for initial value ODE systems
ACM Transactions on Mathematical Software (TOMS)
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IEEE Computational Science & Engineering
Discrete neural computation: a theoretical foundation
Discrete neural computation: a theoretical foundation
//ELLPACK: a numerical simulation programming environment for parallel MIMD machines
ICS '90 Proceedings of the 4th international conference on Supercomputing
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IEEE Computational Science & Engineering
Problem-solving environments for partial differential equation based applications
Problem-solving environments for partial differential equation based applications
PELLPACK: a problem-solving environment for PDE-based applications on multicomputer platforms
ACM Transactions on Mathematical Software (TOMS)
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Communications of the ACM
ACM Transactions on Mathematical Software (TOMS) - Special issue in honor of John Rice's 65th birthday
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ACM Transactions on Mathematical Software (TOMS) - Special issue in honor of John Rice's 65th birthday
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ACM Transactions on Mathematical Software (TOMS)
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IEEE Internet Computing
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Mining and visualizing recommendation spaces for PDE solvers: the continuous attributes case
Computational science, mathematics and software
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ICCS'03 Proceedings of the 2003 international conference on Computational science
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CP'10 Proceedings of the 16th international conference on Principles and practice of constraint programming
Review: Measuring instance difficulty for combinatorial optimization problems
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An evaluation of machine learning in algorithm selection for search problems
AI Communications - The Symposium on Combinatorial Search
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Towards objective measures of algorithm performance across instance space
Computers and Operations Research
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Problem-solving environments (PSEs) interact with theuser in a language “natural” to the associated discipline,and they provide a high-level abstraction of the underlying,computationally complex model. The knowledge-based system PYTHIAaddresses the problem of (parameter, algorithm) pair selection within ascientific computing domain assuming some minimum user-specifiedcomputational objectives and some characteristics of the given problem.PYTHIA's framework and methodology are general and applicable to anyclass of scientific problems and solvers. PYTHIA is applied in thecontext of Parallel ELLPACK where there are many alternatives for thenumerical solution of elliptic partial differential equations (PDEs).PYTHIA matches the characteristics of the given problem with those ofPDEs in an existing problem population and then uses performanceprofiles of the various solvers to select the appropriate method givenuser-specified error and solution time bounds. The profiles areautomatically generated for each solver of the Parallel ELLPACKlibrary.—Authors' Abstract