Results 81 to 90 of about 123 (116)
Adaptive Time Discretization for Retarded Potentials
, 2014 In this paper, we will present advanced discretization methods for solving retarded potential integral equations. We employ a C∞-partition of unity method in time and a conventional boundary element method for the spatial discretization.
S. Sauter, A. Veit
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Blow-up of solutions for a viscoelastic equation with nonlinear damping
Open Mathematics, 2008 Zhifeng Yang
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Uniform Asymptotic Expansion Of The Square-Root Helmholtz Operator And The One-Way Wave Propagator
, 2003 The Bremmer coupling series solution ofthe wave equation, in generally inhomogeneous media, requires the introduction ofpseudodi#erential operators. Such operators appear in the diagonalization process ofthe acoustic system's matrix ofpartial di ...
A. K. Gautesen, Maarten V. De Hoop
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Blow-up analysis for a periodic two-component μ-Hunter-Saxton system. [PDF]
J Inequal Appl, 2018 Guo Y, Xiong T.
europepmc +1 more source
, 1995 We consider the transmission problem for second-order differential equations with unbounded interfaces. The spaces B and B are used to prove the limiting absorption principle for the steady-state problem and to establish the resolvent estimate at low ...
Bo Zhang
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Conditions for periodic vibrations in a symmetric n-string
Open Mathematics, 2008 Gauthier Claude
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, 1996 Consider the diffraction problem for perturbed acoustic propagators with perturbations decreasing slowly at infinity. The propagation speed is discontinuous at the interface of two unbounded media, and the interface may be an arbitrary and smooth surface
Bo Zhang
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On the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One. [PDF]
J Nonlinear Sci, 2018 Lazzaroni G, Nardini L.
europepmc +1 more source
Self-averaging from lateral diversity in the ItôSchrödinger equation
, 2006 . We consider the random Schrödinger equation as it arises in the paraxial regime for wave propagation in random media. In the white noise limit it becomes the Itô-Schrödinger stochastic partial differential equation (SPDE) which we analyze here in the ...
George Papanicolaou +2 more
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The role of numerical boundary procedures in the stability of perfectly matched layers
, 2014 . In this paper we address the temporal energy growth associated with numerical approximations of the perfectly matched layer (PML) for Maxwell’s equations in first order form.
Kenneth Duru
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