Results 71 to 80 of about 22,455 (230)
Applied Ocean ResearchDue to the combined action of the oceanic climate and environmental factors, there often exist the sound speed thermocline regions in the real ocean environment.
Wenbin Wu +3 more
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The local discontinuous Galerkin method for convection-diffusion-fractional anti-diffusion equations
Applied Numerical Mathematics, 2020 In this paper, we consider the discontinuous Galerkin method for solving time dependent partial differential equations with convection-diffusion terms and anti-diffusive fractional operator of order α ∈ ( 1 , 2 ) .
Afaf Bouharguane, Nour Seloula
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Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation
Advances in Applied Mathematics and Mechanics34 ...
Dong Liu, Weihua Deng
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Analysis of a Viscoplastic Burgers Equation
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We study a Burgers equation featuring an additional stress term that is governed by a positively 1$\hskip.001pt 1$‐homogeneous potential. This problem is motivated by the so‐called Hibler's sea ice model, which treats sea ice as a non‐Newtonian fluid, where the stress tensor includes such a term in order to account for the plastic response of ...
Marita Thomas, Xin Liu, Edriss Titi
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The effect of peristalsis on dispersion in Casson fluid flow
Ain Shams Engineering JournalThe present study examines the peristaltic flow of a non-Newtonian (Casson) fluid and solute transport through a flexible tube. Using the long-wavelength approximation, an analytical solution for the Casson fluid velocity is obtained in the axial and ...
P. Nagarani +2 more
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A Local Discontinuous Galerkin Method for Time-Fractional Burgers Equations
East Asian Journal on Applied Mathematics, 2020 Summary: A local discontinuous Galerkin finite element method for a class of timefractional Burgers equations is developed. In order to achieve a high order accuracy, the time-fractional Burgers equation is transformed into a first order system. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space.
Yuan, Wenping +2 more
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Discontinuous Galerkin Trefftz Methods for Model Reduction of Wave Phenomena
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The space–time discontinuous Galerkin (dG)‐Trefftz is known to be a highly efficient numerical scheme for solving linear hyperbolic problems. We investigate to what extent such a dG‐Trefftz method can be used as a basis for a model reduction method for a traveling wave problem using the wave speed as a parameter.
Tobias Born, Karsten Urban
wiley +1 more source
Electronic Journal of Differential Equations, 2016 The goal of this article is to explore and motivate stabilization requirements for various types of discontinuous Galerkin (DG) methods. A new approach for the understanding of DG approximation methods for second order elliptic partial differential ...
Thomas Lewis
doaj
Advancing Heliophysics and Space Weather Modeling Through Open Science
Space Weather, Volume 24, Issue 6, June 2026.Abstract We present a community‐wide effort to develop a strategy and action plan to advance heliophysics and space weather modeling through open science. While open science has the potential to enhance the quality and pace of scientific discovery, its application to scientific modeling requires more careful consideration regarding open data and open ...
C. Corti +87 more
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A Simple and Robust Shock-Capturing Approach for Discontinuous Galerkin Discretizations
Energies, 2019 The discontinuous Galerkin (DG) method has become popular in Computational Fluid Dynamics mainly due to its ability to achieve high-order solution accuracy on arbitrary grids, its high arithmetic intensity (measured as the ratio of the number of floating
Jae Hwan Choi +2 more
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