Results 21 to 30 of about 2,658,052 (294)
Multiresolution analysis for stochastic hyperbolic conservation laws
IMA Journal of Numerical Analysis, 2023 Abstract A multiresolution analysis (MRA) for solving stochastic conservation laws is proposed. Using a novel adaptation strategy and a higher-dimensional deterministic problem, a discontinuous Galerkin (DG) solver is derived. An MRA of the DG spaces for the proposed adaptation strategy is presented.
Herty, Michael +2 more
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Conservation laws for a viscoelastic medium
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2019 In this paper we consider a first order quasilinear non homogenoeus hyperbolic system describing viscoelastic processes. A full classification of first order local conservation laws admitted by such a rate-type model has been given.
Natale Manganaro
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Simple and High-Accurate Schemes for Hyperbolic Conservation Laws
Journal of Applied Mathematics, 2014 The paper constructs a class of simple high-accurate schemes (SHA schemes) with third order approximation accuracy in both space and time to solve linear hyperbolic equations, using linear data reconstruction and Lax-Wendroff scheme.
Renzhong Feng, Zheng Wang
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Hyperbolic Conservation Laws on Spacetimes [PDF]
, 2011 We present a generalization of Kruzkov's theory to manifolds. Nonlinear hyperbolic conservation laws are posed on a differential (n+1)-manifold, called a spacetime, and the flux field is defined as a field of n-forms depending on a parameter. The entropy inequalities take a particularly simple form as the exterior derivative of a family of n-form ...
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Comparison of high-order methods on unstructured grids [PDF]
, 2013 A high-order Discontinuous Galerkin (DG) method is formulated and implemented on the Cranfield University’s 3D unstructured Finite Volume Method (FVM) code (UCNS3D), for both linear and non-linear hyperbolic conservation laws and for test-cases which ...
Iqbal, Kashif H.
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A (3+1)-dimensional generalized BKP-Boussinesq equation: Lie group approach
Results in Physics, 2019 A (3+1)-D generalized B-type KP-Boussinesq equation, which was recently formulated in the literature, is investigated here from Lie group standpoint. A solution is obtained by Lie symmetry reductions and direct integration in terms of incomplete elliptic
Chaudry Masood Khalique +1 more
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Multirate Timestepping Methods for Hyperbolic Conservation Laws [PDF]
Journal of Scientific Computing, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emil M. Constantinescu, Adrian Sandu
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Redistribution of damping in hyperbolic systems of conservation laws
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2013 By a change of variables that redistributes damping among the equations of systems of balance laws in one space dimension, it is demonstrated that dissipation induced by friction, viscosity or other physical mechanism, manifested in the decay of “entropy”
Constantine M. Dafermos
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Entropy Schemes for One-Dimensional Convection-Diffusion Equations
Complexity, 2020 In this paper, we extend the entropy scheme for hyperbolic conservation laws to one-dimensional convection-diffusion equation. The operator splitting method is used to solve the convection-diffusion equation that is divided into conservation and ...
Rongsan Chen
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Wave Front Tracking in Systems of conservation Laws [PDF]
, 2004 summary:This paper contains several recent results about nonlinear systems of hyperbolic conservation laws obtained through the technique of Wave Front ...
Colombo, Rinaldo M. +1 more
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