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On the boundary controllability of first-order hyperbolic systems
Nonlinear Analysis: Theory, Methods & Applications, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ANCONA F, COCLITE, Giuseppe Maria
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Least‐squares finite elements for first‐order hyperbolic systems
International Journal for Numerical Methods in Engineering, 1988AbstractA class of least‐squares finite element methods has been developed for first‐order systems and here we study this approach for hyperbolic problems. The formulation of the least‐squares method is developed in detail and compared with the Petrov‐Galerkin and Taylor‐Galerkin procedures.
Carey, Graham F., Jiang, B. N.
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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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Tangential Characteristic Symmetries and First Order Hyperbolic Systems
Applicable Algebra in Engineering, Communication and Computing, 2001The systems studied here comprise two equations for two functions of two variables. Such a system is assumed to define a smooth submanifold \({\mathcal R}^6 \subset J^1({\mathbb R}^2,{\mathbb R}^2)\), equipped with a smooth codimension-two distribution \(\Sigma\) to which the 1-graph of any solution is tangent; hyperbolicity gives a canonical splitting
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Inverse Problem for a First-Order Hyperbolic System with Memory
Differential Equations, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Durdiev, D. K., Turdiev, Kh. Kh.
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Convergence of first-order quasilinear hyperbolic systems to hyperbolic-parabolic systems
Nonlinear AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yue-Jun Peng, Shuimiao Du
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A first-order hyperbolic system approach for dispersion
Journal of Computational Physics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mazaheri, Alireza +2 more
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Asymptotic integration of first-order hyperbolic systems
Lithuanian Mathematical Journal, 1984This paper deals with the two dimensional Cauchy problem: \[ \partial u_ j/\partial t+\lambda_ j(\partial u_ j/\partial x)=\epsilon f_ j(u_ 1,...,u_ n) \] \[ u_ j(0,x,\epsilon)=u_{j0}(x)+(\sum^{k}_{i=1}\epsilon^ iu_{ji}(x))+\epsilon^{k+1}u_{jk+1}(x,\epsilon) \] involving a small parameter \(\epsilon >0\) and real numbers \(\lambda_ 1,...,\lambda_ n ...
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Exact boundary observability for nonautonomous first‐order quasilinear hyperbolic systems
Mathematical Methods in the Applied Sciences, 2008AbstractBy means of the theory on the semiglobal C1 solution to the mixed initial‐boundary value problem for first‐order quasilinear hyperbolic systems, we establish the local exact boundary observability for general nonautonomous first‐order quasilinear hyperbolic systems without zero eigenvalues and reveal the essential difference between ...
Guo, Lina, Wang, Zhiqiang
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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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