Results 11 to 20 of about 3,082 (261)

Composite Backward Differentiation Formula for the Bidomain Equations

Frontiers in Physiology, 2020
The bidomain equations have been widely used to model the electrical activity of cardiac tissue. While it is well-known that implicit methods have much better stability than explicit methods, implicit methods usually require the solution of a very large ...
Xindan Gao, Craig S. Henriquez, Wenjun Ying   +2 more
doaj   +1 more source

Almost Sure Exponential Stability of Numerical Solutions for Stochastic Pantograph Differential Equations with Poisson Jumps

Mathematics, 2022
The stability analysis of the numerical solutions of stochastic models has gained great interest, but there is not much research about the stability of stochastic pantograph differential equations.
Amr Abou-Senna, Boping Tian
doaj   +1 more source

On a Randomized Backward Euler Method for Nonlinear Evolution Equations with Time-Irregular Coefficients [PDF]

Foundations of Computational Mathematics, 2019
37 pages, 3 ...
Monika Eisenmann, Mihály Kovács, Raphael Kruse, Stig Larsson 0001   +3 more
openaire   +2 more sources

Analysis of stability for stochastic delay integro-differential equations

Journal of Inequalities and Applications, 2018
In this paper, we concern stability of numerical methods applied to stochastic delay integro-differential equations. For linear stochastic delay integro-differential equations, it is shown that the mean-square stability is derived by the split-step ...
Yu Zhang, Longsuo Li
doaj   +1 more source

Cubic B-splines collocation method for a class of partial integro-differential equation

Alexandria Engineering Journal, 2018
In this paper, a numerical method is proposed to estimate the solution of initial-boundary value problems for a class of partial integro-differential equations.
M. Gholamian, J. Saberi-Nadjafi
doaj   +1 more source

Numerical integration methods and layout improvements in the context of dynamic RNA visualization

BMC Bioinformatics, 2017
Background RNA visualization software tools have traditionally presented a static visualization of RNA molecules with limited ability for users to interact with the resulting image once it is complete. Only a few tools allowed for dynamic structures. One
Boris Shabash, Kay C. Wiese
doaj   +1 more source

Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions

Advances in Nonlinear Analysis, 2022
In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a mixed boundary conditions. The variational formulation is written considering three independent unknowns: vorticity, velocity, and pressure.
Abdelwahed Mohamed, Chorfi Nejmeddine
doaj   +1 more source

A method of line with improved accuracy for singularly perturbed parabolic convection–diffusion problems with large temporal lag

Results in Applied Mathematics, 2021
A robust numerical scheme is proposed to solve singularly perturbed large time-delay parabolic convection–diffusion problems. For domain discretization, the backward-Euler method for the time derivative and Micken’s type discretization for the space ...
Naol Tufa Negero, Gemechis File Duressa
doaj   +1 more source

Weak convergence of the backward Euler method for stochastic Cahn–Hilliard equation with additive noise

Applied Numerical Mathematics, 2023
20 ...
Meng Cai, Siqing Gan, Yaozhong Hu
openaire   +3 more sources

Kalman and UFIR state estimation with coloured measurement noise using backward Euler method [PDF]

IET Signal Processing, 2020
Under coloured noise, known modifications of the Kalman filter (KF) exist only for discrete‐time state‐space models produced by the forward Euler (FE) method, which fits with feedback control. In this study, the authors modify the KF and unbiased finite impulse response (UFIR) filter using the backward Euler (BE) method for models with coloured ...
Yuriy S. Shmaliy, Shunyi Zhao, Choon Ki Ahn   +2 more
openaire   +1 more source