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- Godunovs_theorem 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 (monotone scheme), 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.".
- Godunovs_theorem wikiPageID "5678057".
- Godunovs_theorem wikiPageLength "8100".
- Godunovs_theorem wikiPageOutDegree "19".
- Godunovs_theorem wikiPageRevisionID "629042350".
- Godunovs_theorem wikiPageWikiLink Category:Computational_fluid_dynamics.
- Godunovs_theorem wikiPageWikiLink Category:Numerical_differential_equations.
- Godunovs_theorem wikiPageWikiLink Category:Theorems_in_analysis.
- Godunovs_theorem wikiPageWikiLink Computational_fluid_dynamics.
- Godunovs_theorem wikiPageWikiLink Courant–Friedrichs–Lewy_condition.
- Godunovs_theorem wikiPageWikiLink Finite_volume_method.
- Godunovs_theorem wikiPageWikiLink Flux_limiter.
- Godunovs_theorem wikiPageWikiLink High-resolution_scheme.
- Godunovs_theorem wikiPageWikiLink Monotone_scheme.
- Godunovs_theorem wikiPageWikiLink Moscow_State_University.
- Godunovs_theorem wikiPageWikiLink Numerical_analysis.
- Godunovs_theorem wikiPageWikiLink Partial_differential_equation.
- Godunovs_theorem wikiPageWikiLink Sergei_K._Godunov.
- Godunovs_theorem wikiPageWikiLink Theorem.
- Godunovs_theorem wikiPageWikiLink Total_variation_diminishing.
- Godunovs_theorem wikiPageWikiLinkText "Godunov's theorem".
- Godunovs_theorem subject Category:Computational_fluid_dynamics.
- Godunovs_theorem subject Category:Numerical_differential_equations.
- Godunovs_theorem subject Category:Theorems_in_analysis.
- Godunovs_theorem hypernym Theorem.
- Godunovs_theorem type Dynamic.
- Godunovs_theorem type Redirect.
- Godunovs_theorem type Theorem.
- Godunovs_theorem 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 (monotone scheme), can be at most first-order accurate.Professor Sergei K. ".
- Godunovs_theorem label "Godunov's theorem".
- Godunovs_theorem sameAs Q17017973.
- Godunovs_theorem sameAs m.0dznmw.
- Godunovs_theorem sameAs Q17017973.
- Godunovs_theorem wasDerivedFrom Godunovs_theorem?oldid=629042350.
- Godunovs_theorem isPrimaryTopicOf Godunovs_theorem.