Results 221 to 230 of about 3,082 (261)

On a Linearized Backward Euler Method for the Equations of Motion of Oldroyd Fluids of Order One

SIAM Journal on Numerical Analysis, 2006
The authors developed and analysed a linearlized backward Euler method for equations arising in Oldroyd model of viscoelastic fluids. A complete theoretical foundation has been developed with lemmas and theorems. No numerical experiments are performed for illustration.
Amiya K Pani, Jinyun Yuan
exaly   +4 more sources

Divergence of the backward Euler method for ordinary stochastic differential equations

Numerical Algorithms, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

General decay stability of backward Euler–Maruyama method for nonlinear stochastic integro-differential equations

Applied Mathematics Letters, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Linna Liu, Feiqi Deng, Jianyin Fang
exaly   +3 more sources

An efficient backward Euler time-integration method for nonlinear dynamic analysis of structures

Computers and Structures, 2012
This paper presents an efficient time-integration method for obtaining reliable solutions of the transient nonlinear dynamic problems and of the stiff systems in structural engineering. This method employs the backward Euler formulae for evaluating both displacements and velocities of structures.
Tianyun Liu, Chongbin Zhao, Qingbin Li   +2 more
exaly   +2 more sources

Molecular dynamics by the Backward‐Euler method

Communications on Pure and Applied Mathematics, 1989
AbstractThis paper introduces a new computational method for molecular dynamics. The method combines the Backward‐Euler scheme for the solution of stiff differential equations with a Langevin‐equation approach to the establishment of thermal equilibrium. The method allows the user to choose a cutoff frequency ωc.
Peskin, Charles S., Schlick, Tamar
openaire   +2 more sources

On the Backward Euler Method for Parabolic Equations with Rough Initial Data

SIAM Journal on Numerical Analysis, 1982
The backward Euler method is applied for the discretization in time of a general homogeneous parabolic equation in weak form. A short proof is given that, with k the time step, the norm of the error at time t is bounded by $Ckt^{ - 1} $ times the norm of the initial data.
Huang, Mingyou, Thomee, Vidar
openaire   +1 more source

A class of the backward Euler's method for initial value problems

Research Journal of Engineering and Technology, 2015
In this paper, we propose a class of the backward Euler's method for the numerical solution of initial value problems of ordinary differential equations. The proposed class is constructed by considering a suitable interpolating function. The accuracy and stability of the proposed class are considered.
Gurjinder Singh, V. Kanwar, Saurabh Bhatia   +2 more
openaire   +1 more source

Backward Euler and other methods for simulating molecular fluids

The Journal of Chemical Physics, 1995
Two implementations of the backward Euler method for simulating molecular fluids are compared with Brownian dynamics and molecular dynamics simulations of a single diatomic molecule, liquid argon, a single butane molecule, and liquid butane. By comparison with standard molecular dynamics results, backward Euler simulations give different thermodynamic ...
Jian Wu, Robert O. Watts
openaire   +1 more source

A Novel Thanka Image Inpainting Method with Euler’s Elastica and Iterative Denoising and Backward Projections

International Journal of Pattern Recognition and Artificial Intelligence, 2023
This paper presents a brand-new Thanka picture inpainting technique based on Euler’s elastica, iterative denoising, and backward projections (EEIDBP). Specifically, a model of Euler’s elastica is introduced to estimate the original observation due to its lower staircasing effects and better approximation of natural images.
Qiaoqiao Li, Weilan Wang
openaire   +1 more source