Results 31 to 40 of about 367,212 (211)

An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]

, 2011
We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
H. Mustapha, Brunner, Hermann, Schoetzau, D, H. Brunner, D. Schötzau, Mustapha, Kassem, Mustapha, Hussein, K. Mustapha   +7 more
core   +4 more sources

Solving Continuous Models with Dependent Uncertainty: A Computational Approach

Abstract and Applied Analysis, 2013
This paper presents a computational study on a quasi-Galerkin projection-based method to deal with a class of systems of random ordinary differential equations (r.o.d.e.’s) which is assumed to depend on a finite number of random variables (r.v.’s).
J.-C. Cortés, J.-V. Romero, M.-D. Roselló, Francisco-J. Santonja, Rafael-J. Villanueva   +4 more
doaj   +1 more source

Optimal error estimates of the local discontinuous Galerkin methods based on generalized fluxes for 1D linear fifth order partial differential equations

Journal of Inequalities and Applications, 2022
In this paper, we study the error estimates of local discontinuous Galerkin methods based on the generalized numerical fluxes for the one-dimensional linear fifth order partial differential equations.
Hui Bi, Yixin Chen
doaj   +1 more source

Error Estimates for Local Discontinuous Galerkin Methods for Linear Fourth-order Equations

Journal of Harbin University of Science and Technology, 2021
This paper studies the stability and error estimates of the local discontinuous Galerkin method for fourth-order linear partial differential equations based on upwind-biased fluxes. Consider using the semi-discrete form of numerical format in the spatial
BI Hui, CHEN Sha-sha
doaj   +1 more source

POD-Galerkin reduced-order modeling of the El Niño-Southern Oscillation (ENSO)

Applied Ocean Research
Reduced-order modeling (ROM) aims to mitigate computational complexity by reducing the size of a high-dimensional state space. In this study, we demonstrate the efficiency, accuracy, and stability of proper orthogonal decomposition (POD)-Galerkin ROM ...
Yusuf Aydogdu, Navaratnam Sri Namachchivaya   +1 more
doaj   +1 more source

Model order reduction for a flow past a wall-mounted cylinder

Archives of Mechanics, 2016
Reduced order models allow quickly predict fluid behaviour and to better understand flow phenomena. They are the key enablers of closed-loop flow control.
W. Stankiewicz, K. Kotecki, M. Morzyński, R. Roszak, W. Szeliga   +4 more
doaj   +1 more source

Reduced order method for finite difference modeling of cardiac propagation

Current Directions in Biomedical Engineering, 2020
Efficient numerical simulation of cardiac electrophysiology is crucial for studying the electrical properties of the heart tissue. The cardiac bidomain model is the most widely accepted representation of the electrical behaviour of the heart muscle.
Khan Riasat, Shahebul Hasan Shahebul Hasan, Ng Kwong   +2 more
doaj   +1 more source

Galerkin projected residual method applied to diffusion–reaction problems [PDF]

Computer Methods in Applied Mechanics and Engineering, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dutra do Carmo, Eduardo Gomes, Alvarez, Gustavo Benitez, Rochinha, Fernando Alves, Loula, Abimael Fernando Dourado   +3 more
openaire   +1 more source

Projection method for solving systems of linear equations using wavelet packet decomposition of the residual

Proceedings of the International Conference on Applied Innovations in IT, 2017
The work is devoted to the problem of solving large systems of linear algebraic equations with irregular structure matrices. To solve them the variant of the projection method in the Petrov-Galerkin form is proposed.
Vasily Esaulov, Roman Sinetsky
doaj   +1 more source

Hybridizable discontinuous Galerkin projection methods for Navier–Stokes and Boussinesq equations [PDF]

Journal of Computational Physics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mattheus P. Ueckermann, Pierre F. J. Lermusiaux   +1 more
openaire   +3 more sources