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Convergence of Semi-discrete Stationary Wigner Equation with Inflow Boundary Conditions
Stationary Wigner equation inflow boundary conditions well-posedness
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2014/10/10
Making use of the Whittaker-Shannon interp olation formula w ith shifted sampling p oints, we prop ose in this pap e r a well-p osed semi-discretization of the stationary Wigner equation with inflow B...
On Darboux Integrable Semi-Discrete Chains
Darboux integrable finite dimension
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2010/4/1
Differential-difference equation $\frac{d}{dx}t(n+1,x)=f(x,t(n,x),t(n+1,x),\frac{d}{dx}t(n,x))$ with unknown $t(n,x)$ depending on continuous and discrete variables $x$ and $n$ is studied. We call an ...
Modelling shocks and solitons with a modified third order high resolution semi-discrete scheme for soliton and shock wave simulations
Semi-discrete hyperbolic solitons shock wave
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2010/9/15
The Kurganov and Levy scheme [SIAM J.Sci.Comput.22, p1467,2000] which is a semi-discrete numerical solution of hyperbolic systems is applied to the system of one dimensional electrostatic fluid equati...
On Some Algebraic Properties of Semi-Discrete Hyperbolic Type Equations
Darboux integrability Characteristic Lie Algebra First Integrals Integrability test
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2010/2/25
Nonlinear semi-discrete equations of the form tx(n+1) = f(t(n), t(n+1), tx(n)) are studied. An adequate algebraic formulation of the Darboux integrability is discussed and an attempt to adopt this not...