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Investigation of highly accurate integration formulae for transient heat conduction analysis using the conjugate gradient method
Author(s) -
Trujillo D. M.,
Busby H. R.
Publication year - 1982
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620180109
Subject(s) - conjugate gradient method , thermal conduction , transient (computer programming) , conjugate , stability (learning theory) , mathematics , nonlinear conjugate gradient method , heat equation , mechanics , mathematical analysis , computer science , physics , algorithm , thermodynamics , gradient descent , machine learning , artificial neural network , operating system
Two highly accurate implicit Padé approximations to the transient heat conduction equation are investigated using the conjugate gradient method to solve, for the temperatures. The accuracy and stability of the approximations are discussed and numerical examples are presented showing the relative performance. Comparisons with the Crank‐Nicolson method are also presented.