Results 281 to 290 of about 159,157 (335)

Far-from-equilibrium thermodynamics of the human uterus: A self-organized dissipative structure. [PDF]

open access: yesPhysiol Rep
Lecarpentier Y   +6 more
europepmc   +1 more source

Mixed problem for hyperbolic equation of second order

open access: yesMixed problem for hyperbolic equation of second order
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Second Order Hyperbolic Equations with Small Nonlinearities

SIAM Journal on Applied Mathematics, 1978
A 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, 1976
AbstractImplicit 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, 1992
The 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, 1995
Parallel 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, 2006
Summary: 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, 1987
The 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, 1995
We 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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