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Quasi‐Newton iterative strategies applied to the heat diffusion equation
Author(s) -
Soria Antonio,
Pegon Pierre
Publication year - 1990
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.1620300408
Subject(s) - newton's method , iterative method , heat equation , mathematics , newton's method in optimization , rank (graph theory) , local convergence , diffusion , diffusion equation , calculus (dental) , mathematical analysis , mathematical optimization , physics , nonlinear system , thermodynamics , engineering , medicine , metric (unit) , operations management , quantum mechanics , combinatorics , dentistry
Abstract Several iterative procedures have been used to solve the non‐linear heat diffusion equation taking into account radiation across internal cavities. Quasi‐Newton methods are compared with Picard iteration and Newton‐Raphson methods. Among them, the rank‐one quasi‐Newton update seems to be the most effective, specially in time‐dependent cases.