Results 91 to 100 of about 166 (127)

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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tong Zhou, Zuo-Nong Zhu
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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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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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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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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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Recurrence in Semidiscrete Approximations of the Nonlinear Schrödinger Equation

SIAM Journal on Scientific and Statistical Computing, 1987
The use of numerical methods is investigated for a study of recurrence in the nonlinear Schrödinger equation. A spectral, a pseudospectral and a finite difference method are shown to conserve discrete analogues of two of the conservation laws satisfied by this equation.
Weideman, J. A. C., Herbst, B. M.
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Spatial Stabilization of Semidiscrete Elastodynamics

2008
Solutions of direct time integration schemes that converge in time to conventional semidiscrete formulations may be polluted at small time steps by noncausal oscillations. These pathologies are the deleterious effects of higher modes of spatially discrete formulations, which are approximated poorly.
Eran Grosu, Isaac Harari
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Darboux Transformation for a Semidiscrete Short-Pulse Equation

Theoretical and Mathematical Physics, 2018
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Wajahat, H., Riaz, A., Hassan, M.
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