Serial and Parallel Iterative Splitting Methods: Algorithms and Applications to Fractional Convection-Diffusion Equations

Autor: Jürgen Geiser, Eulalia Martínez, Jose L. Hueso

Publikováno v: Mathematics, Vol 8, Iss 11, p 1950 (2020)

The benefits and properties of iterative splitting methods, which are based on serial versions, have been studied in recent years, this work, we extend the iterative splitting methods to novel classes of parallel versions to solve nonlinear fractiona

Externí odkaz: https://doaj.org/article/38d5542b693c4e8c98df8e22c31d64ae

Adaptive Iterative Splitting Methods for Convection-Diffusion-Reaction Equations

Autor: José L. Hueso, Jürgen Geiser, Eulalia Martínez

Publikováno v: Mathematics, Vol 8, Iss 3, p 302 (2020)
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Mathematics
Volume 8
Issue 3

This article proposes adaptive iterative splitting methods to solve Multiphysics problems, which are related to convection&ndash
diffusion&ndash
reaction equations. The splitting techniques are based on iterative splitting approaches with a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a83bf13d4f908f5463a343c24fd3200
https://www.mdpi.com/2227-7390/8/3/302

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Operator-splitting methods in respect of eigenvalue problems for nonlinear equations and applications for Burgers equations

Autor: Jürgen Geiser

Publikováno v: Journal of Computational and Applied Mathematics. 231:815-827

In this article we consider iterative operator-splitting methods for nonlinear differential equations with respect to their eigenvalues. The main focus of the proposed idea is the fixed-point iterative scheme that linearizes our underlying equations.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f26ac13e5598117adcaa8b8ba78770ff
https://doi.org/10.1016/j.cam.2009.05.009

Splitting Method of Convection-Diffusion Methods with Disentanglement methods

Autor: Geiser, Jürgen, Elbiomy, Mahmoud

In this paper, we discuss higher-order operator-splitting methods done by disentanglement methods. The idea is based on computing best fitted exponents to an exponential splitting scheme with more than two operators. We introduce the underlying split

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::748933840475d27cc7bb15a976ad1d06