TY - JOUR
T1 - Functional programming framework for GRworkbench
AU - Moylan, Andrew J.
AU - Scott, Susan M.
AU - Searle, Antony C.
PY - 2005/9
Y1 - 2005/9
N2 - 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.
AB - 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.
KW - Automatic differentiation
KW - Differential geometry
KW - World line
UR - http://www.scopus.com/inward/record.url?scp=26844521632&partnerID=8YFLogxK
U2 - 10.1007/s10714-005-0132-x
DO - 10.1007/s10714-005-0132-x
M3 - Article
SN - 0001-7701
VL - 37
SP - 1517
EP - 1528
JO - General Relativity and Gravitation
JF - General Relativity and Gravitation
IS - 9
ER -