Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Stiff_equation> ?p ?o }
- Stiff_equation abstract "In mathematics, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small. It has proven difficult to formulate a precise definition of stiffness, but the main idea is that the equation includes some terms that can lead to rapid variation in the solution.When integrating a differential equation numerically, one would expect the requisite step size to be relatively small in a region where the solution curve displays much variation and to be relatively large where the solution curve straightens out to approach a line with slope nearly zero. For some problems this is not the case. Sometimes the step size is forced down to an unacceptably small level in a region where the solution curve is very smooth. The phenomenon being exhibited here is known as stiffness. In some cases we may have two different problems with the same solution, yet problem one is not stiff and problem two is stiff. Clearly the phenomenon cannot be a property of the exact solution, since this is the same for both problems, and must be a property of the differential system itself. It is thus appropriate to speak of stiff systems.".
- Stiff_equation thumbnail StiffEquationNumericalSolvers.svg?width=300.
- Stiff_equation wikiPageExternalLink pg=931.
- Stiff_equation wikiPageExternalLink ch10.pdf.
- Stiff_equation wikiPageExternalLink energons.pdf.
- Stiff_equation wikiPageExternalLink StabilityAnalysis.pdf.
- Stiff_equation wikiPageExternalLink Stiff_systems.
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- Stiff_equation wikiPageRevisionID "695727611".
- Stiff_equation wikiPageWikiLink Academic_Press.
- Stiff_equation wikiPageWikiLink American_Mathematical_Society.
- Stiff_equation wikiPageWikiLink Autochem.
- Stiff_equation wikiPageWikiLink Backward_Euler_method.
- Stiff_equation wikiPageWikiLink Category:Numerical_differential_equations.
- Stiff_equation wikiPageWikiLink Chapman_&_Hall.
- Stiff_equation wikiPageWikiLink Chemical_kinetics.
- Stiff_equation wikiPageWikiLink Condition_number.
- Stiff_equation wikiPageWikiLink Control_system.
- Stiff_equation wikiPageWikiLink Differential_equation.
- Stiff_equation wikiPageWikiLink Differential_inclusion.
- Stiff_equation wikiPageWikiLink scholarpedia.2855.
- Stiff_equation wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Stiff_equation wikiPageWikiLink Euler_method.
- Stiff_equation wikiPageWikiLink Explicit_and_implicit_methods.
- Stiff_equation wikiPageWikiLink Germund_Dahlquist.
- Stiff_equation wikiPageWikiLink Harmonic_oscillator.
- Stiff_equation wikiPageWikiLink Hookes_law.
- Stiff_equation wikiPageWikiLink Initial_value_problem.
- Stiff_equation wikiPageWikiLink Integral_curve.
- Stiff_equation wikiPageWikiLink John_Wiley_&_Sons.
- Stiff_equation wikiPageWikiLink Joseph_O._Hirschfelder.
- Stiff_equation wikiPageWikiLink Kinetic_PreProcessor.
- Stiff_equation wikiPageWikiLink L-stability.
- Stiff_equation wikiPageWikiLink Lawrence_F._Shampine.
- Stiff_equation wikiPageWikiLink Linear_multistep_method.
- Stiff_equation wikiPageWikiLink Mathematics.
- Stiff_equation wikiPageWikiLink Numerical_analysis.
- Stiff_equation wikiPageWikiLink Numerical_methods_for_ordinary_differential_equations.
- Stiff_equation wikiPageWikiLink Numerical_stability.
- Stiff_equation wikiPageWikiLink Order_star.
- Stiff_equation wikiPageWikiLink Ordinary_differential_equation.
- Stiff_equation wikiPageWikiLink Polynomial.
- Stiff_equation wikiPageWikiLink Prentice_Hall.
- Stiff_equation wikiPageWikiLink Prindle,_Weber_and_Schmidt.
- Stiff_equation wikiPageWikiLink Rational_function.
- Stiff_equation wikiPageWikiLink Recurrence_relation.
- Stiff_equation wikiPageWikiLink Runge–Kutta_methods.
- Stiff_equation wikiPageWikiLink Scholarpedia.
- Stiff_equation wikiPageWikiLink Servomechanism.
- Stiff_equation wikiPageWikiLink Skip_Thompson.
- Stiff_equation wikiPageWikiLink Society_for_Industrial_and_Applied_Mathematics.
- Stiff_equation wikiPageWikiLink Springer_Science+Business_Media.
- Stiff_equation wikiPageWikiLink Stiffness.
- Stiff_equation wikiPageWikiLink Trapezoidal_rule_(differential_equations).
- Stiff_equation wikiPageWikiLink Triangular_matrix.
- Stiff_equation wikiPageWikiLink University_of_Waterloo.
- Stiff_equation wikiPageWikiLink File:Stability_region_for_AB2_method.svg.
- Stiff_equation wikiPageWikiLink File:Stability_region_for_Euler_method.svg.
- Stiff_equation wikiPageWikiLink File:Stability_region_for_trapezoidal_method.svg.
- Stiff_equation wikiPageWikiLink File:StiffEquationNumericalSolvers.svg.
- Stiff_equation wikiPageWikiLinkText "A-stability".
- Stiff_equation wikiPageWikiLinkText "A-stable".
- Stiff_equation wikiPageWikiLinkText "Stiff equation".
- Stiff_equation wikiPageWikiLinkText "Stiff equation#A-stability".
- Stiff_equation wikiPageWikiLinkText "Stiff equation#Stiffness ratio".
- Stiff_equation wikiPageWikiLinkText "Stiffness".
- Stiff_equation wikiPageWikiLinkText "function of stability".
- Stiff_equation wikiPageWikiLinkText "numerically stiff".
- Stiff_equation wikiPageWikiLinkText "region of absolute stability".
- Stiff_equation wikiPageWikiLinkText "stiff differential equation".
- Stiff_equation wikiPageWikiLinkText "stiff differential equations".
- Stiff_equation wikiPageWikiLinkText "stiff equation".
- Stiff_equation wikiPageWikiLinkText "stiff equations and multistep methods".
- Stiff_equation wikiPageWikiLinkText "stiff".
- Stiff_equation wikiPageWikiLinkText "stiffness".
- Stiff_equation wikiPageUsesTemplate Template:=.
- Stiff_equation wikiPageUsesTemplate Template:Citation.
- Stiff_equation wikiPageUsesTemplate Template:Cite_book.
- Stiff_equation wikiPageUsesTemplate Template:EquationNote.
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- Stiff_equation wikiPageUsesTemplate Template:Math.
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- Stiff_equation wikiPageUsesTemplate Template:Var.
- Stiff_equation subject Category:Numerical_differential_equations.
- Stiff_equation hypernym Equation.
- Stiff_equation comment "In mathematics, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small.".
- Stiff_equation label "Stiff equation".
- Stiff_equation sameAs Q29744.
- Stiff_equation sameAs Steifes_Anfangswertproblem.
- Stiff_equation sameAs Équation_différentielle_raide.
- Stiff_equation sameAs Equazione_rigida.
- Stiff_equation sameAs Równanie_sztywne.
- Stiff_equation sameAs m.06lkhn.
- Stiff_equation sameAs Жёсткая_система.
- Stiff_equation sameAs Жорстке_диференціальне_рівняння.
- Stiff_equation sameAs Q29744.
- Stiff_equation sameAs 刚性方程.