Results 51 to 60 of about 52,764 (220)

Convergence of the Galerkin method in the problem of electromagnetic wave diffraction on a system of solids and curvilinear screens

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. The purpose of this study is to prove the convergence of the projection method in the problem of diffraction of electromagnetic waves by scatterers of a complex shape. Material and methods.
Aleksey A. Tsupak
doaj   +1 more source

Time-discretised Galerkin approximations of parabolic stochastic PDE's [PDF]

Bulletin of the Australian Mathematical Society, 1996
The global discretisation error is estimated for strong time discretisations of finite dimensional Ito stochastic differential equations (SDEs) which are Galerkin approximations of a class of parabolic stochastic partial differential equation (SPDE) with a strongly monotone linear operator with eigenvalues λ1 ≤ λ2 ≤ … in its drift term.
Grecksch, W., Kloeden, P. E.
openaire   +2 more sources

Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid

International Journal for Numerical Methods in Fluids, EarlyView.
This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley   +1 more source

Chaotic convection in a rotating fluid layer

Alexandria Engineering Journal, 2015
A study of thermal convection in a rotating fluid layer is investigated based on the dynamical systems approach. A system of differential equation like Lorenz model has been obtained by using Galerkin-truncated approximation.
Vinod K. Gupta, B.S. Bhadauria, I. Hasim, J. Jawdat, A.K. Singh   +4 more
doaj   +1 more source

Direct Numerical Simulation of Magnetohydrodynamic Slip‐Flow Past a Stretching Surface Using Physics‐Informed Neural Network

Heat Transfer, EarlyView.
ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley   +1 more source

Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation

Results in Applied Mathematics
This paper presents a difference interior penalty discontinuous Galerkin method for the 3D elliptic boundary-value problem. The main idea of this method is to combine the finite difference discretization in the z-direction with the interior penalty ...
Jian Li, Wei Yuan, Luling Cao
doaj   +1 more source

Stability-preserving model order reduction for linear stochastic Galerkin systems

Journal of Mathematics in Industry, 2019
Mathematical modeling often yields linear dynamical systems in science and engineering. We change physical parameters of the system into random variables to perform an uncertainty quantification.
Roland Pulch
doaj   +1 more source

Error estimates for a semidiscrete finite element method for fractional order parabolic equations

, 2012
We consider the initial boundary value problem for the homogeneous time-fractional diffusion equation $\partial^\alpha_t u - \De u =0$ ($0< \alpha < 1$) with initial condition $u(x,0)=v(x)$ and a homogeneous Dirichlet boundary condition in a bounded ...
Jin, Bangti, Lazarov, Raytcho, Zhou, Zhi
core   +2 more sources

Linearization based upon differential approximation and Galerkin’s method [PDF]

Quarterly of Applied Mathematics, 1966
We present a new linearization technique based upon differential approximation which is considerably simpler and more flexible than those used in our previous work.
Bellman, R., Richardson, J. M.
openaire   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source