Application of direct meshless local Petrov–Galerkin (DMLPG) method for some Turing-type models

M Ilati, M Dehghan - Engineering with Computers, 2017 - Springer
Mathematical modeling of pattern formation in developmental biology leads to non-linear
reaction–diffusion systems which are usually highly stiff in both diffusion and reaction terms …

Modified Douglas splitting methods for reaction–diffusion equations

A Arrarás, KJ in't Hout, W Hundsdorfer… - BIT Numerical …, 2017 - Springer
We present modifications of the second-order Douglas stabilizing corrections method, which
is a splitting method based on the implicit trapezoidal rule. Inclusion of an explicit term in a …

Scalable Computational Algorithms for Geo-spatial Covid-19 Spread in High Performance Computing

V Dolean, P Jolivet, B Robinson, JD Edwards… - arXiv preprint arXiv …, 2022 - arxiv.org
A nonlinear partial differential equation (PDE) based compartmental model of COVID-19
provides a continuous trace of infection over space and time. Finer resolutions in the spatial …

A new parallel algorithm for solving parabolic equations

G Xue, H Feng - Advances in Difference Equations, 2018 - Springer
In this paper, a new parallel algorithm for solving parabolic equations is proposed. The new
algorithm includes two domain decomposition methods, each method is applied to compute …

Computational morphogenesis of embryonic bone development: past, present, and future

ME Dolack, C Lee, Y Ru, A Marghoub, JT Richtsmeier… - Mechanobiology, 2020 - Elsevier
Mesenchymal stem cell differentiation into osteoblasts is an important developmental
process in the production of embryonic bone. Recent research in the field of …

[PDF][PDF] New parallel algorithm for convection-dominated diffusion equation

G Xue, H Feng - East Asian Journal on Applied Mathematics, 2018 - researchgate.net
A new parallel algorithm for convection-dominated diffusion equation is proposed. To derive
an approximate solution of the problem at the same time level, we use two domain …

Scalable Domain Decomposition Methods for Nonlinear and Time-Dependent Stochastic Systems

P Vasudevan, S Sharma - 2023 - repository.library.carleton.ca
Computational modelling is one of the most important tools to understand and predict real-
life physical processes. However, the accuracy of their predictions becomes questionable …

The reaction dimerization: A resourceful slant applied on the fractional partial differential equation

KN Alam, T Hameed, M Ayaz, RO Abdul - Thermal Science, 2019 - doiserbia.nb.rs
The paper presents an analysis to investigate the time-fractional coupled diffusion equation
with non-linear reaction subject to piecewise initial conditions. The governance system is …

[PDF][PDF] MEMORIA DE ACTIVIDADES 2019 MEMORIA DE ACTIVIDADES 2019

YA DE MATEMATICAS - iuma.unizar.es
En 2017 el IUMA ha contado con 77 profesores permanentes, pertenecientes a 11 Grupos
de investigación reconocidos por el Gobierno de Aragón, 11 miembros no permanentes, y 8 …

Modified Douglas Splitting Methods for Reaction-Diffusion Equations

A Arrarás, KJ Hout, W Hundsdorfer… - arXiv preprint arXiv …, 2015 - arxiv.org
We present modifications of the second-order Douglas stabilizing corrections method, which
is a splitting method based on the implicit trapezoidal rule. Inclusion of an explicit term in a …