About: Godunov's theorem

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In numerical analysis and computational fluid dynamics, Godunov's theorem — also known as Godunov's order barrier theorem — is a mathematical theorem important in the development of the theory of high resolution schemes for the numerical solution of partial differential equations. The theorem states that: Linear numerical schemes for solving partial differential equations (PDE's), having the property of not generating new extrema, can be at most first-order accurate.

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rdfs:label	Godunov's theorem (en)
rdfs:comment	In numerical analysis and computational fluid dynamics, Godunov's theorem — also known as Godunov's order barrier theorem — is a mathematical theorem important in the development of the theory of high resolution schemes for the numerical solution of partial differential equations. The theorem states that: Linear numerical schemes for solving partial differential equations (PDE's), having the property of not generating new extrema, can be at most first-order accurate. (en)
dcterms:subject	Computational fluid dynamics Numerical differential equations Theorems in analysis
Wikipage page ID	5678057 (xsd:integer)
Wikipage revision ID	908205718 (xsd:integer)
Link from a Wikipage to another Wikipage	Moscow State University Theorem Computational fluid dynamics Total variation diminishing Finite volume method Numerical analysis Partial differential equations Flux limiter Courant–Friedrichs–Lewy condition Computational fluid dynamics Numerical differential equations Theorems in analysis Sergei K. Godunov High resolution scheme dbr:Monotone_scheme
sameAs	Godunov's theorem Godunov's theorem Godunov's theorem Godunov's theorem
has abstract	In numerical analysis and computational fluid dynamics, Godunov's theorem — also known as Godunov's order barrier theorem — is a mathematical theorem important in the development of the theory of high resolution schemes for the numerical solution of partial differential equations. The theorem states that: Linear numerical schemes for solving partial differential equations (PDE's), having the property of not generating new extrema, can be at most first-order accurate. Professor Sergei K. Godunov originally proved the theorem as a Ph.D. student at Moscow State University. It is his most influential work in the area of applied and numerical mathematics and has had a major impact on science and engineering, particularly in the development of methods used in computational fluid dynamics (CFD) and other computational fields. One of his major contributions was to prove the theorem (Godunov, 1954; Godunov, 1959), that bears his name. (en)
gold:hypernym	Theorem
prov:wasDerivedFrom	wikipedia-en:Godunov's_theorem?oldid=908205718&ns=0
page length (characters) of wiki page	8047 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Godunov's_theorem
is Link from a Wikipage to another Wikipage of	MUSCL scheme Index of physics articles (G) List of numerical analysis topics Bram van Leer Total variation diminishing Finite volume method Flux limiter Godunov's scheme List of Russian mathematicians List of Russian scientists AUSM High-resolution scheme Godunov's Theorem Sergei K. Godunov List of theorems Godunov theorem
is Wikipage redirect of	Godunov's Theorem Godunov theorem
is known for of	Sergei K. Godunov
is known for of	Sergei K. Godunov
is foaf:primaryTopic of	wikipedia-en:Godunov's_theorem

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