A class of robust numerical methods for solving dynamical systems with multiple time scales [PDF]
, 2019 In this paper, we develop a class of robust numerical methods for solving dynamical systems with multiple time scales. We first represent the solution of a multiscale dynamical system as a transformation of a slowly varying solution.
Hou, Thomas Y. +2 more
core +1 more source
An error embedded Runge-Kutta method for initial value problems
, 2016 In this paper, we propose an error embedded Runge-Kutta method to improve the traditional embedded Runge-Kutta method. The proposed scheme can be applied into most explicit embedded Runge-Kutta methods.
Sunyoung Bu, WonKyu Jung, Philsu Kim
semanticscholar +1 more source
Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks. [PDF]
Heliyon, 2023 Berrone S +3 more
europepmc +1 more source
Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]
BMC Res Notes, 2023 Wondimu GM +3 more
europepmc +1 more source
Global stability analysis of the role of multi-therapies and non-pharmaceutical treatment protocols for COVID-19 pandemic. [PDF]
Chaos Solitons Fractals, 2021 Bassey BE, Atsu JU.
europepmc +1 more source
Low-rank Parareal: a low-rank parallel-in-time integrator. [PDF]
BIT Numer Math, 2023 Carrel B, Gander MJ, Vandereycken B.
europepmc +1 more source
F-actin bending facilitates net actomyosin contraction By inhibiting expansion with plus-end-located myosin motors. [PDF]
J Math Biol, 2022 Tam AKY, Mogilner A, Oelz DB.
europepmc +1 more source
Non-linear System of Multi-order Fractional Differential Equations: Theoretical Analysis and a Robust Fractional Galerkin Implementation. [PDF]
J Sci Comput, 2022 Faghih A, Mokhtary P.
europepmc +1 more source
Fractional order mathematical modeling of novel corona virus (COVID-19). [PDF]
Math Methods Appl Sci, 2021 Ahmad W +4 more
europepmc +1 more source