Conservative numerical methods for model kinetic equations [PDF]
, 2007 A new conservative discrete ordinate method for nonlinear model kinetic equations is proposed. The conservation property with respect to the collision integral is achieved by satisfying at the discrete level approximation conditions used in deriving the ...
Titarev, Vladimir A.
core +1 more source
Compact and stable discontinuous Galerkin methods for convection-diffusion problems [PDF]
, 2012 We present a new scheme, the compact discontinuous Galerkin 2 (CDG2) method, for solving nonlinear convection-diffusion problems together with a detailed comparison to other well-accepted DG methods.
Dedner, A. +3 more
core +1 more source
Exact and approximate solutions of Riemann problems in non-linear elasticity [PDF]
, 2009 Eulerian shock-capturing schemes have advantages for modelling problems involving complex non-linear wave structures and large deformations in solid media.
Barton, Philip Trevor +3 more
core +1 more source
Shear waves in a nonlinear elastic cylindrical shell [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаAsymptotic integration methods have been used to model the propagation of a shear wave beam along a nonlinear-elastic cylindrical shell of the Sanders – Koiter model. The shell is assumed to be made of a material characterized by a cubic dependence
Zemlyanukhin, Alexandr Isaevich +2 more
doaj +1 more source
Thermo-electrical buckling response of actuated functionally graded piezoelectric nanoscale plates
Results in Physics, 2019 In this work, the analytical investigation of thermo-electrical buckling of a functionally graded piezoelectric nanoscale plate is obtained via a refined hyperbolic higher-order shear deformation theory.
Ashraf M. Zenkour, Maryam H. Aljadani
doaj +1 more source
Efficient explicit time integration for the simulation of acoustic and electromagnetic waves [PDF]
, 2015 The efficient and accurate numerical simulation of time-dependent wave phenomena is of fundamental importance in acoustic, electromagnetic or seismic wave propagation.
Mehlin, Michaela
core +1 more source
WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions [PDF]
, 2010 The paper extends weighted essentially non-oscillatory (WENO) methods to three dimensional mixed-element unstructured meshes, comprising tetrahedral, hexahedral, prismatic and pyramidal elements. Numerical results illustrate the convergence rates and non-
Tsoutsanis, Panagiotis +2 more
core +1 more source
Closed-Form Meromorphic Solutions of High-Order and High-Dimensional Differential Equations
AxiomsIn this paper, we investigate closed-form meromorphic solutions of the fifth-order Sawada-Kotera (fSK) equation and (3+1)-dimensional generalized shallow water (gSW) equation. The study of high-order and high-dimensional differential equations is pivotal
Hongqiang Tu, Yongyi Gu
doaj +1 more source
Alexandria Engineering JournalThe coupled higher-order nonlinear Schrödinger equations (CHNLSEs) are investigated in this paper. This model mimic the actuation of the solitons through multimode fibers.
Ola El-Shamy +4 more
doaj +1 more source
A Numerical Implementation of a Nonlinear Mild Slope Model for Shoaling Directional Waves
Journal of Marine Science and Engineering, 2014 We describe the numerical implementation of a phase-resolving, nonlinear spectral model for shoaling directional waves over a mild sloping beach with straight parallel isobaths.
Justin R. Davis +3 more
doaj +1 more source