Results 71 to 80 of about 1,089,385 (313)
A parallel algorithm for solving one problem of nonlinear optics
Lietuvos Matematikos Rinkinys, 1998 This paper deals with a system of nonlinear differential equations, which describe the interaction of two focussed laser beams.The problem is approximated by a splitting finite difference scheme.
Raimondas Čiegis +2 more
doaj +3 more sources
Modeling the Transmission Dynamics of Coronavirus Using Nonstandard Finite Difference Scheme
Fractal and Fractional, 2023 A nonlinear mathematical model of COVID-19 containing asymptomatic as well as symptomatic classes of infected individuals is considered and examined in the current paper.
Ihsan Ullah Khan +3 more
doaj +1 more source
Transient Schr\"odinger-Poisson Simulations of a High-Frequency Resonant Tunneling Diode Oscillator
, 2012 Transient simulations of a resonant tunneling diode oscillator are presented. The semiconductor model for the diode consists of a set of time-dependent Schr\"odinger equations coupled to the Poisson equation for the electric potential.
Jüngel, Ansgar +2 more
core +1 more source
An unconditionally energy stable finite difference scheme for a stochastic Cahn-Hilliard equation [PDF]
, 2015 In this work, the MMC-TDGL equation, a stochastic Cahn-Hilliard equation, is solved numerically by using the finite difference method in combination with a convex splitting technique of the energy functional.
Xiao Li, Zhonghua Qiao, Hui Zhang
semanticscholar +1 more source
Advanced Engineering Materials, EarlyView.This article presents a solver‐agnostic domain‐specific language (DSL) for computational structural mechanics that strengthens interoperability in virtual product development. Using a hierarchical data model, the DSL enables seamless exchange between diverse simulation tools and numerical methods.
Martin Rädel +3 more
wiley +1 more source
PENYELESAIAN SISTEM PEMBENTUKAN SEL PADA HYDRA MENGGUNAKAN METODE BEDA HINGGA SKEMA EKSPLISIT
Barekeng, 2020 Mathematical models that describes the pattern of cell formation in hydra are expressed in a system of equations known as the Meinhardt model. This model is a continuous model in the form of diffusion equations.
Y. Sambono +3 more
doaj +1 more source
On Pairs of Difference Operators Satisfying: [P,Q] = Id
, 1997 Different finite difference replacements for the derivative are analyzed in the context of the Heisenberg commutation relation. The type of the finite difference operator is shown to be tied to whether one can naturally consider $P$ and $X$ to be self ...
Andrzej Z. Górski +4 more
core +1 more source
A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.This study examines how several molten high‐silicon electrical steels interact with both conventional and recycled MgO–C refractories. For this, various immersion experiments are conducted. In addition to infiltration, a number of mechanisms are identified and explained that control the corrosion of the refractory material.
Lukas Neubert +7 more
wiley +1 more source
New Second-Order Finite Difference Scheme for the Problem of Contaminant in Groundwater Flow
Journal of Applied Mathematics, 2012 We develop a new efficient second-order finite difference scheme for two-dimensional problem of contaminant in groundwater flow. Theoretical analysis shows that the scheme is second-order convergence in the L2 norm and is unconditionally stable ...
Quanyong Zhu +3 more
doaj +1 more source