A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation
| Autor: | Judith Bunder, John Maclean, Anthony J. Roberts |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Applied Mathematics
Suite Numerical analysis System-level simulation 010103 numerical & computational mathematics 01 natural sciences Toolbox Computational science 010101 applied mathematics Range (mathematics) Theory of computation Octave 0101 mathematics MATLAB computer computer.programming_language Mathematics |
| Zdroj: | Numerical Algorithms. 87:1729-1748 |
| ISSN: | 1572-9265 1017-1398 |
| DOI: | 10.1007/s11075-020-01027-z |
| Popis: | The ‘equation-free toolbox’ empowers the computer-assisted analysis of complex, multiscale systems. Its aim is to enable scientists and engineers to immediately use microscopic simulators to perform macro-scale system level tasks and analysis, because micro-scale simulations are often the best available description of a system. The methodology bypasses the derivation of macroscopic evolution equations by computing the micro-scale simulator only over short bursts in time on small patches in space, with bursts and patches well-separated in time and space respectively. We introduce the suite of coded equation-free functions in an accessible way, link to more detailed descriptions, discuss their mathematical support, and introduce a novel and efficient algorithm for Projective Integration. Some facets of toolbox development of equation-free functions are then detailed. Download the toolbox functions and use to empower efficient and accurate simulation in a wide range of science and engineering problems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink