Results 41 to 50 of about 2,366,993 (184)
Linear congruences and hyperbolic systems of conservation laws [PDF]
, 2005 S. I. Agafonov and E. V. Ferapontov have introduced a construction that allows naturally associating to a system of partial differential equations of conservation laws a congruence of lines in an appropriate projective space. In particular hyperbolic systems of Temple class correspond to congruences of lines that place in planar pencils of lines.
DE POI P., MEZZETTI, EMILIA
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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
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Advances in Difference Equations, 2020 In this paper, the existence and uniqueness of the interface coupling (IC) of time and spatial (TS) arbitrary-order fractional (AOF) nonlinear hyperbolic scalar conservation laws (NHSCL) are investigated.
S. M. R. Shirkhorshidi +4 more
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An Improved WENO-Z Scheme for Hyperbolic Conservation Laws with New Global Smoothness Indicator
Mathematics, 2023 The fifth-order WENO-Z scheme proposed by Borges et al., using a linear combination of low-order smoothness indicators, is designed to provide a low numerical dissipation to solve hyperbolic conservation laws, while the power q in the framework of WENO-Z
Shuang Han, Mingjun Li
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Riemann Invariants and Rank-k Solutions of Hyperbolic Systems [PDF]
, 2006 In this paper we employ a "direct method" in order to obtain rank-k solutions of any hyperbolic system of first order quasilinear differential equations in many dimensions.
Huard, Benoit, Grundland, A. Michel
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On nonlinear strain vectors and tensors in continuum theories of mechanics
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 A non-linear mathematical model of hyperbolic thermoelastic continuum with fine microstructure is proposed. The model is described in terms of 4-covariant field theoretical formalism.
Vladimir A Kovalev, Yuriy N Radayev
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Hyperbolic systems of conservation laws
Revista Matemática Complutense, 1999 This is a survey on the mathematical theory of hyperbolic systems of conservation laws. The paper, written in Italian language, corresponds to the text of a conference held at the XVI Congress of the Italian Mathematical Union in 1999. Addressing to non-experts, the author gives a very clear exposition of results and problems connected with the one ...
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Conservation Laws and Exact Solutions for Time-Delayed Burgers–Fisher Equations
Mathematics, 2023 A generalization of the time-delayed Burgers–Fisher equation is studied. This partial differential equation appears in many physical and biological problems describing the interaction between reaction, diffusion, and convection.
Almudena P. Márquez +3 more
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On the Convergence of α Schemes with Source Terms for Scalar Convex Conservation Laws
Mathematics, 2023 In this study, we use an extension of Yang’s convergence criterion [N. Jiang, On the wavewise entropy inequality for high-resolution schemes with source terms II: the fully discrete case] to show the entropy convergence of a class of fully discrete α ...
Nan Jiang
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WENO Scheme Based on Lax-Wendroff Time Discretization to Solving Hyperbolic Conservation Laws
Journal of Harbin University of Science and Technology, 2017 The research of high accuracy and high resolution schemes have been a hot topic in computational mathematics． According to low resolution and large amount of calculation of the original WENO-JS scheme，we propose a simple new limiter fifth order upwind ...
LI Xing-hua, SUN Yang, AI Xiao-hui
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