About: Explicit and implicit methods

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Explicit and implicit methods are approaches used in numerical analysis for obtaining numerical approximations to the solutions of time-dependent ordinary and partial differential equations, as is required in computer simulations of physical processes. Explicit methods calculate the state of a system at a later time from the state of the system at the current time, while implicit methods find a solution by solving an equation involving both the current state of the system and the later one. Mathematically, if is the current system state and is the state at the later time ( is a small time step), then, for an explicit method

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rdfs:label	Explicit and implicit methods (en)
rdfs:comment	Explicit and implicit methods are approaches used in numerical analysis for obtaining numerical approximations to the solutions of time-dependent ordinary and partial differential equations, as is required in computer simulations of physical processes. Explicit methods calculate the state of a system at a later time from the state of the system at the current time, while implicit methods find a solution by solving an equation involving both the current state of the system and the later one. Mathematically, if is the current system state and is the state at the later time ( is a small time step), then, for an explicit method (en)
dbp:wikiPageUsesTemplate	dbt:More_citations_needed dbt:Reflist dbt:Short_description
Subject	Numerical differential equations
thumbnail	wiki-commons:Special:FilePath/Result_of_applying_integration_schemes.png?width=300
foaf:depiction
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Explicit_and_implicit_methods?oldid=1066473197&ns=0
Wikipage page ID	3652485 (xsd:integer)
page length (characters) of wiki page	6726 (xsd:nonNegativeInteger)
Wikipage revision ID	1066473197 (xsd:integer)
Link from a Wikipage to another Wikipage	Numerical analysis Numerical methods for ordinary differential equations Numerical stability Root-finding algorithms Backward Euler method Numerical differential equations Discretization Quadratic equation Zero of a function Computer simulation Courant–Friedrichs–Lewy condition Crank–Nicolson method Newton's method Ordinary differential equation Partial differential equation SIMPLE algorithm Scientific method Euler method Stiff equation
has abstract	Explicit and implicit methods are approaches used in numerical analysis for obtaining numerical approximations to the solutions of time-dependent ordinary and partial differential equations, as is required in computer simulations of physical processes. Explicit methods calculate the state of a system at a later time from the state of the system at the current time, while implicit methods find a solution by solving an equation involving both the current state of the system and the later one. Mathematically, if is the current system state and is the state at the later time ( is a small time step), then, for an explicit method while for an implicit method one solves an equation to find (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Explicit_and_implicit_methods
is Wikipage redirect of	Explicit method Explicit solver Implicit and explicit methods Implicit method Implicit solver
is Link from a Wikipage to another Wikipage of	Numerical methods for ordinary differential equations Numerical solution of the convection–diffusion equation ADINA Backward Euler method Backward differentiation formula Beam and Warming scheme Glossary of calculus Linear multistep method List of mathematics-based methods List of numerical analysis topics Courant–Friedrichs–Lewy condition Crank–Nicolson method Heun's method Finite difference method Exponential integrator FTCS scheme Lagrangian Ocean Analysis Euler method Lax–Friedrichs method Material point method Nektar++ Explicit method Explicit solver Implicit and explicit methods Implicit method Implicit solver
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Explicit_and_implicit_methods

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