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Automatic synthesis of numerical codes for solving partial differential equations

Author

Listed:
  • Akers, Robert L.
  • Baffes, Paul
  • Kant, Elaine
  • Randall, Curt
  • Steinberg, Stanly
  • Young, Robert L.

Abstract

SciNapse provides a problem solving environment for engineers, scientists, mathematicians and others interested in numerical modeling. In particular, SciNapse applies finite difference methods to transform a mathematical modeling problem specification into an executable numerical program. A problem specification typically includes a description of an initial boundary value problem, and, optionally, the names of algorithms to be used in solving the problem, gridding information, and variable initialization and format information. From a specification that is typically less than half a page, SciNapse can generate hundreds of lines of code in either Fortran or C. SciNapse's power is derived from its careful integration of computer algebra with program transformation and object-based representation of mathematical concepts.

Suggested Citation

  • Akers, Robert L. & Baffes, Paul & Kant, Elaine & Randall, Curt & Steinberg, Stanly & Young, Robert L., 1998. "Automatic synthesis of numerical codes for solving partial differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 45(1), pages 3-22.
  • Handle: RePEc:eee:matcom:v:45:y:1998:i:1:p:3-22
    DOI: 10.1016/S0378-4754(97)00082-7
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