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...a property of [[Runge–Kutta method]]s for solving [[ordinary differential equations]]. ...ear = 1996 | title = Solving ordinary differential equations II: Stiff and differential-algebraic problems | edition = second | publisher = [[Springer-Verlag]] | l ...

{{Short description|Term in numerical analysis}} ...quantifies the [[rate of convergence]] of a numerical approximation of a [[differential equation]] to the exact solution. ...

...aves]] when the third-order contributions are small. The term may refer to equations of the form ...u.ac.ir/article_16069.html |journal=Computational Methods for Differential Equations |volume=11 |issue=4 |pages=803–810}}</ref> ...

...ss-date=19 July 2022|doi-access=free }}</ref> refers to the stability of a numerical scheme applied to the simple initial value problem <math> y'(x) = 0</math>. ...cher |first1=John C |title=The Numerical Analysis of Ordinary Differential Equations |date=1987 |publisher=Wiley |page=11}}</ref> and means that the parasitic s ...

In [[applied mathematics]], the '''fast sweeping method''' is a [[numerical method]] for solving [[boundary value problem]]s of the [[Eikonal equation] ...hao|first=Hongkai|date=2005-01-01|title=A fast sweeping method for Eikonal equations|journal=Mathematics of Computation|volume=74|issue=250|pages=603–627|doi=10 ...

...approximate solutions of [[partial differential equations]] and [[integral equations]] based on the translates of [[sinc]] function and Cardinal function C(f,h) ==Sinc numerical methods cover== ...

{{Short description|Numerical method for solving differential equations}} ...mical reactions in fluid dynamics, and to solve multidimensional [[partial differential equation]]s by reducing them to a sum of one-dimensional problems. ...

{{short description|Numerical method for solving partial differential equations}} ...[[Numerical analysis|numerical method]] for solving [[partial differential equations]]. It is a discretization strategy in which the finite element mesh is fixe ...

...iversity of Texas at Austin, Austin, TX, 1995.</ref><ref>Communications in Numerical Methods in Engineering, Copyright © 2008 John Wiley & Sons, Ltd.</ref> Addition of the above two equations together results in the cancellation of the terms in odd powers of <math>h< ...

...tial algebraic equation (PDAE)''' set is an incomplete system of [[partial differential equation]]s that is closed with a set of [[algebraic equation]]s. ...e relationship between an [[ordinary differential equation]] (ODE) and a [[differential algebraic equation]] (DAE). ...

{{short description|Numerical method for solving ordinary differential equations}} ...differential equations|numerical method]] to solve [[ordinary differential equations]] derived from the [[trapezoidal rule]] for computing integrals. The trapez ...

{{Short description|Algorithms in numerical analysis}} ...rential equations{{snd}}to find an unknown function that satisfies a given differential equation. All such algorithms proceed in two steps: ...

In applied mathematics, the '''Calderón projector''' is a [[pseudo-differential operator]] used widely in [[boundary element method]]s. It is named after [ ...="steinbach2008">{{cite book |last=Steinbach |first=Olaf |date=2008 |title=Numerical Approximation Methods for Elliptic Boundary Value Problems |url=https://arc ...

{{Short description|Stochastsic differential equations with terminal condition}} ...g|first2=Jiongmin|date=2007|title=Forward-Backward Stochastic Differential Equations and their Applications|series=Lecture Notes in Mathematics |volume=1702 |ur ...

{{Short description|Method in numerical analysis}} ...[[hyperbolic partial differential equation|hyperbolic partial differential equations]], it is unstable unless artificial viscosity is included. The abbreviation ...

...Stencils are the basis for many algorithms to numerically solve [[partial differential equation]]s (PDE). Two examples of stencils are the [[five-point stencil]] ...last1=Milne|first1=William Edmund|title=Numerical solution of differential equations.|date=1953|publisher=Wiley|pages=128–131|oclc=527661 |edition=1st|url=https ...

...quation|url=http://dx.doi.org/10.1093/imanum/drw007|journal=IMA Journal of Numerical Analysis|volume=37|issue=1|pages=209–236|doi=10.1093/imanum/drw007|issn=027 ...an be understood as simply eigenvalue equations acted upon by the Hessian differential operator. Special cases include the [[Monge–Ampère equation]]<ref>{{citatio ...

...ed mathematics, the '''reflecting function''' <math>\,F(t,x)</math> of a [[differential system]] <math>\dot x=X(t,x)</math> connects the past state <math>\,x(-t)< For the [[differential system]] <math>\dot x=X(t,x)</math> with the [[general solution]] <math>\va ...

...description|Family of Runge–Kutta methods to solve differential algebraic equations}} ...m.2008.10.003}}</ref> that were developed to approximate the solution of [[differential algebraic equation]]s (DAE) of index 2. ...

{{Short description|Method of numerical integration}} ...ntegrators]] for [[Hamiltonian system]]s derived from the [[Euler–Lagrange equations]] of a discretized [[Hamilton's principle]]. Variational integrators are mo ...