About: Numerical methods for ordinary differential equations

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Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term can also refer to the computation of integrals. Ordinary differential equations occur in many scientific disciplines, including physics, chemistry, biology, and economics. In addition, some methods in numerical partial differential equations convert the partial differential equation into an ordinary differential equation, which must then be solved.

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rdfs:label	Numerical methods for ordinary differential equations (en)
rdfs:comment	Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term can also refer to the computation of integrals. Ordinary differential equations occur in many scientific disciplines, including physics, chemistry, biology, and economics. In addition, some methods in numerical partial differential equations convert the partial differential equation into an ordinary differential equation, which must then be solved. (en)
sameAs	Numerical methods for ordinary differential equations Numerical methods for ordinary differential equations
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Subject	Numerical differential equations Ordinary differential equations
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Link from a Wikipage to another Wikipage	Francis Bashforth Numerical analysis Numerical integration Numerical linear algebra Numerical methods for partial differential equations Numerical stability Nyström method Root-finding algorithms Supercomputer Algorithm Augustin-Louis Cauchy Backward differentiation formula Basic Linear Algebra Subprograms Biology Taylor series Boundary value problem Bulirsch–Stoer algorithm C++ Calculus Carl Runge General linear methods Geometric integrator Germund Dahlquist Joseph O. Hirschfelder Numerical differential equations Ordinary differential equations Differential inclusion Leonhard Euler Physics Picard–Lindelöf theorem Quantized state systems method Series expansion Chemical kinetics Chemistry Chronology Linear multistep method Lipschitz continuity List of numerical analysis topics Plasma (physics) Runge–Kutta methods Runge–Kutta–Fehlberg method Collocation method Computer algebra Control theory Courant–Friedrichs–Lewy condition Economics John C. Butcher John Couch Adams List of Runge–Kutta methods Newton's method OpenModelica Ordinary differential equation Parallel computing Parareal Parker–Sochacki method Partial differential equation Reversible reference system propagation algorithm Solid mechanics Consumer electronics Energy drift Finite difference Finite difference coefficient Finite difference method Fixed-point iteration GNU Octave Galerkin method Gaussian quadrature Symplectic integrator Exascale computing Explicit and implicit methods Extrapolation Hamiltonian mechanics Initial value problem Absolutely integrable function Modelica Weather forecasting

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