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Functional programming framework for GRworkbench

Moylan, Andrew; Scott, Susan M; Searle, Antony

Description

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...[Show more]

dc.contributor.authorMoylan, Andrew
dc.contributor.authorScott, Susan M
dc.contributor.authorSearle, Antony
dc.date.accessioned2015-12-13T23:00:25Z
dc.identifier.issn0001-7701
dc.identifier.urihttp://hdl.handle.net/1885/84112
dc.description.abstractThe 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.
dc.publisherKluwer Academic Publishers
dc.sourceGeneral Relativity and Gravitation
dc.subjectKeywords: Automatic differentiation; Differential geometry; World line
dc.titleFunctional programming framework for GRworkbench
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume37
dc.date.issued2005
local.identifier.absfor010501 - Algebraic Structures in Mathematical Physics
local.identifier.ariespublicationMigratedxPub12377
local.type.statusPublished Version
local.contributor.affiliationMoylan, Andrew, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationScott, Susan M, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationSearle, Antony, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue9
local.bibliographicCitation.startpage1517
local.bibliographicCitation.lastpage1528
local.identifier.doi10.1007/s10714-005-0132-x
dc.date.updated2015-12-12T07:34:01Z
local.identifier.scopusID2-s2.0-26844521632
CollectionsANU Research Publications

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