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Tuned test problems for numerical methods in engineering
Author(s) -
Sinclair G. B.,
AnayaDufresne M.,
Meda G.,
Okajima M.
Publication year - 1997
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/(sici)1097-0207(19971130)40:22<4183::aid-nme252>3.0.co;2-7
Subject(s) - test (biology) , ordinary differential equation , partial differential equation , mathematics , applied mechanics , computer science , numerical analysis , calculus (dental) , test case , differential equation , engineering , mechanical engineering , mathematical analysis , paleontology , medicine , regression analysis , dentistry , machine learning , biology
When numerical methods are applied in engineering, verification is essential. Test problems can help in meeting this requirement. This is especially so when these problems are tuned to the application at hand. Unfortunately, in practice such tuned test problems are not always directly available. For these cases, this paper describes an approach for constructing tuned test problems. The approach may be used on ordinary or partial differential equations, be they linear or non‐linear. This is demonstrated on a number of applications drawn from dynamics, solid mechanics, and fluid mechanics. © 1997 John Wiley & Sons, Ltd.