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Far-from-equilibrium thermodynamics of the human uterus: A self-organized dissipative structure. [PDF]
Lecarpentier Y +6 more
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Numerical Solution of Second Order One Dimensional Linear Hyperbolic Telegraph Equation
Muluneh Dingeta +2 more
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Mixed problem for hyperbolic equation of second order
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Second Order Hyperbolic Equations with Small Nonlinearities
SIAM Journal on Applied Mathematics, 1978A second order partial differential equation which describes the propagation of one-dimensional nonlinear waves in a bounded, inhomogeneous, dissipative medium is analyzed using the method of multiple scales. The conditions under which the oppositely traveling components of the nonlinear motion uncouple to first order are given.
Seymour, Brian R., Mortell, Michael P.
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Difference schemes for second order hyperbolic equations
International Journal for Numerical Methods in Engineering, 1976AbstractImplicit difference methods for the wave equation in two space variables have been discussed with the help of a stability diagram. The difference methods of intermediate accuracy 0(h4+k2) have been determined. A method of order of accuracy 0(h2+k2) with minimum truncation error has also been found.
Jain, M. K. +2 more
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Circulant preconditioners for second order hyperbolic equations
BIT, 1992The authors are concerned with the numerical solution of initial-boundary value problems for linear second order hyperbolic equations. The problems are discretized based on implicit time discretization and central differencing in the space variables with respect to uniform time and space steps.
Jin, Xiao-Qing, Chan, Raymond H.
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PARALLEL ALGORITHMS FOR SECOND-ORDER HYPERBOLIC EQUATIONS
Parallel Algorithms and Applications, 1995Parallel algorithms are developed for the numerical solution of second-order hyperbolic partial differential equations using (M,K) Pade approximants with M ≠ K. A linear one-dimensional wave equation is solved using the algorithms and comparisons are made with results from the literature confirming the accuracy of the algorithms.
M. A. ARIGU, E. H. TWIZELL, A. B. GUMEL
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Carleman Estimates for Second-Order Hyperbolic Equations
Siberian Mathematical Journal, 2006Summary: In the space of variables \((x,t)\in\mathbb R^{n+1}\), we consider a linear second-order hyperbolic equation with coefficients depending only on \(x\). Given a domain \(D\subset\mathbb R^{n+1}\) whose projection to the \(x\)-space is a compact domain \(\Omega\), we consider the question of construction of a stability estimate for a solution to
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Periodic solutions of second-order hyperbolic integrodifferential equations
Ukrainian Mathematical Journal, 1987The author is concerned with the existence and uniqueness of solutions to the problem \[ u_{tt}-u_{xx}=\epsilon f(x,t,u,u_ t,u_ x)+\epsilon \int^{h(x,t)}_{0}\phi (x,t,s,u(x,s),u_ t(x,s),u_ x(x,s))ds, \] u(0,t)\(=u(\pi,t)=0\), where \(\epsilon\) is a parameter, \(h: \{\) \(0\leq x\leq \pi\), \(t\in R\}\to R\), while f(x,t,u,v,w) and \(\phi\) (x,t,s,u,v ...
Khoma, G. P., Gromyak, M. I.
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Periodic solutions of second-order quasilinear hyperbolic equations
Ukrainian Mathematical Journal, 1995We study a periodic boundary-value problem for a quasilinear equation with the d'Alembert operator on the left-hand side and a nonlinear operator on the right-hand side and establish conditions under which the solution of the indicated problem is unique.
Yu. A. Mitropol'skii, N. G. Khoma
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