Keywords

#explicit_and_implicit_methods

Explicit and implicit methods

Approaches for approximating solutions to differential equations

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, then, for an explicit method

Fri 11th

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Explicit and implicit methods Runge–Kutta methods List of mathematics-based methods Implicit function Midpoint method Temporal discretization Semi-implicit Euler method Explicit memory List of Runge–Kutta methods Implicit stereotype
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