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Functional programming framework for GRworkbench

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Abstract

The software tool GRworkbench is an ongoing project in visual, numerical General Relativity at The Australian National University. Recently, the numerical differential geometric engine of GRworkbench has been rewritten using functional programming techniques. By allowing functions to be directly represented as program variables in C++ code, the functional framework enables the mathematical formalism of Differential Geometry to be more closely reflected in GRworkbench. The powerful technique of ‘automatic differentiation’ has replaced numerical differentiation of the metric components, resulting in more accurate derivatives and an order-of-magnitude performance increase for operations relying on differentiation.

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Authors and Affiliations

  1. Centre for Gravitational Physics, Department of Physics, Faculty of Science, The Australian National University, Canberra ACT, 0200, Australia

    Andrew J. Moylan, Susan M. Scott & Antony C. Searle

Authors
  1. Andrew J. Moylan
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  2. Susan M. Scott
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  3. Antony C. Searle
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Correspondence to Susan M. Scott.

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Moylan, A.J., Scott, S.M. & Searle, A.C. Functional programming framework for GRworkbench . Gen Relativ Gravit 37, 1517–1528 (2005). https://doi.org/10.1007/s10714-005-0132-x

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  • DOI: https://doi.org/10.1007/s10714-005-0132-x

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