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Τι (ποιος) είναι step allocation method - ορισμός

PSEUDO-SPECTRAL NUMERICAL METHOD USED TO SOLVE NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, E.G. THE TIME-DEPENDENT SCHRÖDINGER EQUATION

Split-step Fourier method; Split step fourier method; Split step Fourier method; SSFM

Split-step method

In numerical analysis, the split-step (Fourier) method is a pseudo-spectral numerical method used to solve nonlinear partial differential equations like the nonlinear Schrödinger equation. The name arises for two reasons.

https://en.wikipedia.org/wiki/Split-step_method

Resource allocation

ALLOCATION OF RESOURCES AMONG POSSIBLE USES

Distributed resource allocation; Allocation of resources; Resource allocation problems; Resource allocation problem; Allocation of Resources; Resource allocation mechanism; Resource Allocation; Algorithms for resource allocation

In economics, resource allocation is the assignment of available resources to various uses. In the context of an entire economy, resources can be allocated by various means, such as markets, or planning.

https://en.wikipedia.org/wiki/Resource_allocation

Linear multistep method

CLASS OF ITERATIVE NUMERICAL METHODS FOR SOLVING DIFFERENTIAL EQUATIONS

Adams-Bashforth multistep method; Adams-Bashforth-Moulton Method; Adams-Bashforth-Moulton method; Adams' method; Adams-bashforth-moulton method; Adams' Method; Adams-Bashford method; Adams Bashforth; Multistep methods; Multistep method; Adams–Moulton method; Adams–Bashforth method; Adam-Bashford; Adams-Bashford; Adams-Bashforth method; Adams-Moulton method; Zero-stability; Linear Multistep Method; Adams–Moulton methods; Adams-Moulton methods; Adams–Bashforth; Adams-Bashforth; Adams–Bashforth methods; Adams-Bashforth methods

Linear multistep methods are used for the numerical solution of ordinary differential equations. Conceptually, a numerical method starts from an initial point and then takes a short step forward in time to find the next solution point.

https://en.wikipedia.org/wiki/Linear_multistep_method

Βικιπαίδεια

Split-step method

In numerical analysis, the split-step (Fourier) method is a pseudo-spectral numerical method used to solve nonlinear partial differential equations like the nonlinear Schrödinger equation. The name arises for two reasons. First, the method relies on computing the solution in small steps, and treating the linear and the nonlinear steps separately (see below). Second, it is necessary to Fourier transform back and forth because the linear step is made in the frequency domain while the nonlinear step is made in the time domain.

An example of usage of this method is in the field of light pulse propagation in optical fibers, where the interaction of linear and nonlinear mechanisms makes it difficult to find general analytical solutions. However, the split-step method provides a numerical solution to the problem. Another application of the split-step method that has been gaining a lot of traction since the 2010s is the simulation of Kerr frequency comb dynamics in optical microresonators. The relative ease of implementation of the Lugiato–Lefever equation with reasonable numerical cost, along with its success in reproducing experimental spectra as well as predicting soliton behavior in these microresonators has made the method very popular.

https://en.wikipedia.org/wiki/Split-step method