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- Midpoint_method abstract "In numerical analysis, a branch of applied mathematics, the midpoint method is a one-step method for numerically solving the differential equation,and is given by the formulafor Here, is the step size — a small positive number, and is the computed approximate value of The midpoint method is also known as the modified Euler method.The name of the method comes from the fact that in the formula above the function is evaluated at which is the midpoint between at which the value of y(t) is known and at which the value of y(t) needs to be found.The local error at each step of the midpoint method is of order , giving a global error of order . Thus, while more computationally intensive than Euler's method, the midpoint method generally gives more accurate results.The method is an example of a class of higher-order methods known as Runge-Kutta methods.".
- Midpoint_method thumbnail Midpoint_method_illustration.png?width=300.
- Midpoint_method wikiPageID "1404680".
- Midpoint_method wikiPageRevisionID "604574703".
- Midpoint_method hasPhotoCollection Midpoint_method.
- Midpoint_method subject Category:Numerical_differential_equations.
- Midpoint_method subject Category:Runge–Kutta_methods.
- Midpoint_method type Ability105616246.
- Midpoint_method type Abstraction100002137.
- Midpoint_method type Cognition100023271.
- Midpoint_method type Communication100033020.
- Midpoint_method type DifferentialEquation106670521.
- Midpoint_method type Equation106669864.
- Midpoint_method type Know-how105616786.
- Midpoint_method type MathematicalStatement106732169.
- Midpoint_method type Message106598915.
- Midpoint_method type Method105660268.
- Midpoint_method type NumericalDifferentialEquations.
- Midpoint_method type PsychologicalFeature100023100.
- Midpoint_method type Runge%E2%80%93KuttaMethods.
- Midpoint_method type Statement106722453.
- Midpoint_method comment "In numerical analysis, a branch of applied mathematics, the midpoint method is a one-step method for numerically solving the differential equation,and is given by the formulafor Here, is the step size — a small positive number, and is the computed approximate value of The midpoint method is also known as the modified Euler method.The name of the method comes from the fact that in the formula above the function is evaluated at which is the midpoint between at which the value of y(t) is known and at which the value of y(t) needs to be found.The local error at each step of the midpoint method is of order , giving a global error of order . ".
- Midpoint_method label "Midpoint method".
- Midpoint_method sameAs m.04zx3z.
- Midpoint_method sameAs Q17103851.
- Midpoint_method sameAs Q17103851.
- Midpoint_method sameAs Midpoint_method.
- Midpoint_method wasDerivedFrom Midpoint_method?oldid=604574703.
- Midpoint_method depiction Midpoint_method_illustration.png.
- Midpoint_method isPrimaryTopicOf Midpoint_method.