Results 51 to 60 of about 96 (92)

Nonlinear Stability of Semidiscrete Shock Waves

SIAM Journal on Mathematical Analysis, 2003
This work is devoted to the asymptotic stability of the semidiscrete waves generated by discrete in space and continuous in time systems of conservation laws (lattice dynamical systems). The authors describe the semidiscrete conservative systems, study spectral stability of semidiscrete shocks, pointwise Green's function bounds for the linear lattice ...
Sylvie Benzoni-Gavage, Pierre Huot, Frederic Rousset   +2 more
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A semidiscrete Gardner equation

Frontiers of Mathematics in China, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Haiqiong, Zhu, Zuonong
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Analysis of a Semidiscrete Version of the Wigner Equation

SIAM Journal on Numerical Analysis, 2002
Summary: We introduce a semidiscretized version of the Wigner equation -- discretization concerning the velocity variable. We show that the corresponding discrete velocity problem is well-posed and permits us to approach the solution of the continuous problem when the mesh size of the discretization vanishes.
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Tree Algebras, Semidiscreteness, and Dilation Theory

Proceedings of the London Mathematical Society, 1994
We introduce a class of finite dimensional algebras built from a partial order generated as a transitive relation from a finite tree. These algebras, known as tree algebras, have the property that every locally contractive representation has a *-dilation. Furthermore, they satisfy an appropriate analogue of the Sz. Nagy-Foiaş commutant lifting theorem.
Davidson, K. R., Power, S. C., Paulsen, V. I.   +2 more
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Explicit solutions for a semidiscrete Boussinesq system

Applied Mathematics and Computation, 2014
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Tong Zhou, Zuo-Nong Zhu
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A note on semidiscretization methods

Mathematics and Computers in Simulation, 1978
Abstract Discretization of the time variable by A-stable linear multistep methods in nonlinear evolution equations is considered. Stability and convergence results are presented, which can be applied to multistep-Galerkin procedures for nonlinear initial boundary value problems.
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Semidiscrete Hilbert spaces

Acta Mathematica Hungarica, 1989
Extract from the paper: ``In 1938 Sz. Nagy characterized \(L^ 2\)-spaces of commutative \(W^*\)-algebras in the following way: A Hilbert space H, which is ordered by a selfdual cone \(H^+\) having the Riesz interpolation property, is isomorphic to \(L^ 2(X,\mu)\) for some measure space (X,\(\mu)\).
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On the Cauchy Problem for the Semidiscrete Enskog Equation

1991
We prove that the semidiscrete Enskog equation, an analog of the semidiscrete Boltzmann equation introduced by H.Cabannes [1], has a global mild solution when the initial data are such that \[[1 + {\left| {\vec x} \right|^\alpha } + Log\phi ]\phi \in {L_1}\].
BORGIOLI, GIOVANNI, G. TOSCANI, A. PULVIRENTI   +2 more
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Conservation laws of semidiscrete Hamiltonian equations

Journal of Mathematical Physics, 2001
Many evolution partial differential equations (PDEs) can be cast into Hamiltonian form. Conservation laws of these equations are related to one-parameter Hamiltonian symmetries admitted by the PDEs [P. J. Olver, Applications of Lie Groups to Differential Equations (Springer, New York, 1986)].
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BV Solutions of the Semidiscrete Upwind Scheme

Archive for Rational Mechanics and Analysis, 2003
As strictly hyperbolic system of conservation laws of the form \[ u_{t}+f(u)_x =0 , \quad u(0,x)=\bar u (x) \] is considered, where \( u \in\mathbb{R}^N\), \(f:\mathbb{R}^N \rightarrow\mathbb{R}^N\) is smooth, especially from a numerical point of view, that means, a semidiscrete upwind scheme of this equation is investigated.
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