Results 191 to 200 of about 537,575 (240)
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A weighted least squares method for first‐order hyperbolic systems
International Journal for Numerical Methods in Fluids, 1995AbstractThe paper presents a generalization of the classical L2‐norm weighted least squares method for the numerical solution of a first‐order hyperbolic system. This alternative least squares method consists of the minimization of the weighted sum of the L2 residuals for each equation of the system. The order of accuracy of global conservation of each
Zeitoun, D. G. +2 more
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HYPERBOLIC-PARABOLIC SINGULAR LIMITS FOR FIRST-ORDER NONLINEAR SYSTEMS
Communications in Partial Differential Equations, 2001This work is concerned with initial-value problems of the following first-order partial differential equations with a small parameter e: Here W is the unknown n-vector function of (x, t) = (x 1,…,x...
LATTANZIO, CORRADO, YONG W. A.
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LQ-Optimal Control of a Class of First-Order Hyperbolic PDE's Systems
Proceedings of the 45th IEEE Conference on Decision and Control, 2006The Linear-Quadratic (LQ) optimal control problem is studied for a class of first-order hyperbolic partial differential equation models by using a nonlinear infinite-dimensional Hilbert state-space description. First the dynamical properties of the linearized model around some equilibrium profile are studied.
Ilyasse Aksikas +2 more
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Necessary Conditions for Hyperbolicity of First Order Systems
2003In this note some necessary conditions for the well posedness of the Cauchy problem for hyperbolic systems of arbitrary order will be studied. In the scalar case Ivrii and Petkov [7] has shown that the well posedness of the Cauchy problem implies that, near a multiple characteristic point, a set of vanishing conditions on the homogeneous parts of the ...
Antonio Bove, Tatsuo Nishitani
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Singularities of solutions for first order quasilinear hyperbolic systems
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1983SynopsisIn this paper, the existence of global smooth solutions and the formation of singularities of solutions for strictly hyperbolic systems with general eigenvalues are discussed for the Cauchy problem with essentially periodic small initial data or nonperiodic initial data. A result of Klainerman and Majda is thus extended to the general case.
Lee, Da-tsin, Shi, Jia-hong
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Exact Controllability for Nonautonomous First Order Quasilinear Hyperbolic Systems*
Chinese Annals of Mathematics, Series B, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A nonlocal stefan-type problem for a first-order hyperbolic system
Ukrainian Mathematical Journal, 1988The author gives a sufficient condition (too technical to be reproduced here) for the existence and uniqueness of a piecewise smooth solution to the problem indicated in the title.
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Inverse coefficient problems for a first order hyperbolic system
Applied Numerical Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ismailov, Mansur I., Tekin, Ibrahim
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ON BOUNDARY CONDITIONS FOR FIRST-ORDER SYMMETRIC HYPERBOLIC SYSTEMS WITH CONSTRAINTS
Journal of Hyperbolic Differential Equations, 2013The Cauchy problem for many first-order symmetric hyperbolic (FOSH) systems is constraint preserving, i.e. the solution satisfies certain spatial differential constraints whenever the initial data does. Frequently, artificial space cut-offs are performed for such evolution systems, usually out of the necessity for finite computational domains. However,
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Necessary conditions for strong hyperbolicity of first order systems
Journal d'Analyse Mathématique, 1993The author considers a first order differential operator \(L\) acting on \(C^ \infty(\Omega, \mathbb{C}^ m)\) with Cauchy data on a non- characteristic surface (where \(\Omega\) is a nonempty and open subset in \(\mathbb{R}^{n+1}\)) and gives some necessary conditions in order that \(L+B\) is correctly posed for each \(B\in C^ \infty (\Omega, M_ m ...
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