Results 31 to 40 of about 12,638,036 (224)

Stochastic Discontinuous Galerkin Methods (SDGM) based on fluctuation-dissipation balance

Results in Applied Mathematics, 2019
We introduce a general framework for approximating parabolic Stochastic Partial Differential Equations (SPDEs) based on fluctuation-dissipation balance. Using this approach we formulate Stochastic Discontinuous Galerkin Methods (SDGM).
W. Pazner, N. Trask, P.J. Atzberger
doaj   +1 more source

L2-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

Journal of Inequalities and Applications, 2010
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Hyun Young Lee, Mi Ray Ohm, Jun Yong Shin   +2 more
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

Well-Balanced High-Order Discontinuous Galerkin Methods for Systems of Balance Laws

Mathematics, 2021
This work introduces a general strategy to develop well-balanced high-order Discontinuous Galerkin (DG) numerical schemes for systems of balance laws.
Ernesto Guerrero Fernández, Cipriano Escalante, Manuel J. Castro Díaz   +2 more
doaj   +1 more source

EXPLORING TRANSIENT, NEUTRONIC, REDUCED-ORDER MODELS USING DMD/POD-GALERKIN AND DATA-DRIVEN DMD [PDF]

EPJ Web of Conferences, 2021
There is growing interest in the development of transient, multiphysics models for nuclear reactors and analysis of uncertainties in those models. Reduced-order models (ROMs) provide a computationally cheaper alternative to compute uncertainties. However,
Elzohery Rabab, Roberts Jeremy
doaj   +1 more source

Comparison of the stability of discontinuous Galerkin and finite-difference methods

Lietuvos Matematikos Rinkinys, 2002
In this article we present stability analysis of two discrete schemes, which are used to solve a parabolic problem on adaptive nonstationary meshes. The influence of interpolation and projection errors is investigated.
Raimondas Čiegis, Remigijus Čiegis, Olga Suboč   +2 more
doaj   +3 more sources

Efficient Galerkin finite element methods for a time-fractional Cattaneo equation

Advances in Difference Equations, 2020
In this paper, we develop two efficient fully discrete schemes for solving the time-fractional Cattaneo equation, where the fractional derivative is in the Caputo sense with order in ( 1 , 2 ] $(1, 2]$ .
An Chen, Lijuan Nong
doaj   +1 more source

Short Review of Current Numerical Developments in Meteorological Modelling

Atmosphere
This paper reviews current numerical developments for atmospheric modelling. Numerical atmospheric modelling now looks back to a history of about 70 years after the first successful numerical prediction.
Jürgen Steppeler
doaj   +1 more source

Validity of Galerkin Method at Beam’s Nonlinear Vibrations of the Single Mode with the Initial Curvature

Buildings, 2023
A common strategy for studying the nonlinear vibrations of beams is to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation or equations through the Galerkin method.
Yunbo Zhang, Kun Huang, Wei Xu
doaj   +1 more source

A test of the Source Galerkin method [PDF]

Nuclear Physics B - Proceedings Supplements, 2003
Talk presented at LATTICE2002, 3 pages, 2 ...
Petrov, D., Emirdag, P., Guralnik, G. S.
openaire   +2 more sources