搜索结果: 1-15 共查到“知识库 理学 Conservation laws”相关记录39条 . 查询时间(0.108 秒)
Compact Central WENO Schemes for MultiDimensional Conservation Laws
hyperbolic systems central difference schemes high-order accuracy nonoscillatory schemes WENO reconstruction CWENO reconstruction
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2015/10/8
We present a new third-order central scheme for approximating solutions of systems of conservation laws in one and two space dimensions. In the spirit of Godunov-type schemes, our method is based on r...
On the Behavior of the Total Variation in CWENO Methods for Conservation Laws
Hyperbolic conservation laws Central difference schemes High-order accuracy Non-oscillatory schemes CWENO reconstruction TVB
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2015/10/8
We consider a family of high-order, weighted essentially non-oscillatory central schemes (CWENO) for approximating solutions of one-dimensional hyperbolic systems of conservation laws. We are interest...
Third-order 2D Central Schemes for Hyperbolic Conservation Laws
Two-dimensional framework system the law of conservation of two-dimensional euler equation the high resolution
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2015/10/8
We extend a one-dimensional central-scheme first introduced by Liu and Tadmor, to the rather general framework of two-dimensional systems of conservation laws. This scheme is based on a two-dimensiona...
High-Resolution Non-Oscillatory Central Schemes with Non-Staggered Grids for Hyperbolic Conservation Laws
hyperbolic conservation laws central schemes staggered grids
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2015/10/8
We present a general procedure to convert schemes which are based on staggered spatial grids into non-staggered schemes. This procedure is then utilized to construct a new family of non-staggered, cen...
Moderate dispersion in scalar conservation laws
Travelling waves moderate dispersion Korteweg de Vries equation entropy solutions dissipative-dispersive scalar conservation laws
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2015/7/14
We consider the weakly dissipative and weakly dispersive Burgers-Hopf-Korteweg-de-Vries equation with the diffusion coefficient ε and the dispersion rate δ in the range δ/ε → 0. We study thetravelling...
Exact Boundary Conditions for the Initial Value Problem of Convex Conservation Laws
exact boundary conditions artificial boundary conditions convex conservation laws Burgers’ (inviscid) equation
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2015/5/4
The initial value problem of convex conservation laws, which includes the famous Burgers’ (inviscid) equation, plays an important rule not only in the-oretical analysis for conservation laws, but also...
Accuracy of Classical Conservation Laws for Hamilton PDES Under Runge-Kutta Discretizations
Accuracy of Classical Conservation Laws Hamilton PDES Runge-Kutta Discretizations
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2012/8/7
We investigate conservative properties of Runge-Kutta methods
for Hamiltonian PDEs. It is shown that multi-symplecitic Runge-Kutta meth-
ods preserve precisely norm square conservation law. Based on...
The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws
Two-Component Camassa-Holm Equations CH(2,1) CH(2,2) First-Order Integrating Factors Conservation Laws Exactly Solvable and Integrable Systems
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2012/4/26
Recently, Holm and Ivanov, proposed and studied a class of multi-component generalisations of the Camassa-Holm equations [D D Holm and R I Ivanov, Multi-component generalizations of the CH equation: g...
A Space-time Smooth Artificial Viscosity Method For Nonlinear Conservation Laws
Space-time Smooth Artificial Viscosity Method Nonlinear Conservation Laws Computational Physics
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2012/4/19
We introduce the $C$-method, a simple scheme for adding localized, space-time smooth, artificial viscosity to nonlinear systems of conservation laws which propagate shock waves, rarefactions, and cont...
An extension of the modified Sawada-Kotera equation and conservation laws
fundamental mathematics spectralproblem integrable nonlinear evolution equations conservationlaws
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2011/10/15
Based onthe modified Sawada-Kotera equation, we introduce a 3×3 matrix spectral problem with two potentials and derive a hierarchyof new nonlinear evolution equations. The second member in thehierarch...
Nonlinear self-adjointness and conservation laws
Conservation laws Nonlinear self-adjointness Diffusion Kompaneets equation KP equation
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2011/9/20
Abstract: The general concept of nonlinear self-adjointness of differential equations is introduced. It includes the linear self-adjointness as a particular case. Moreover, it embraces the strict self...
Discrete conservation laws and port-Hamiltonian systems on graphs and complexes
conservation laws port-Hamiltonian systems graphs and complexes Optimization and Control
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2011/9/1
Abstract: In this paper we present a unifying geometric framework for modeling various sorts of physical network dynamics as port-Hamiltonian systems. Basic idea is to associate with the incidence mat...
The matrix Lax representation of the generalized Riemann equations and its conservation Laws
generalized Riemann equation Saxton equation Lax representation
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2011/7/5
It is shown that the generalized Riemann equation is equivalent with the
multicomponent generalization of the Hunter - Saxton equation. New matrix
and scalar Lax representation is presented for this...
New entropy conditions for scalar conservation laws with discontinuous flux
New entropy conditions scalar conservation laws discontinuous flux
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2010/11/23
We propose new Kruzhkov type entropy conditions for one dimensional scalar conservation law with a discontinuous flux. We prove existence and uniqueness of the entropy admissible weak solution to the ...
Conservation laws, integrability and transport in one-dimensional quantum systems
Conservation laws one-dimensional quantum systems
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2010/11/18
In integrable one-dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. For cases like the spin current in the XXZ mode...