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Titlebook: Integral Methods in Science and Engineering; Analytic and Numeric C. Constanda,A. Largillier,M. Ahues Book 2004 Birkhäuser Boston 2004 Alge

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Multiple Scattering of Water Waves by N Floating Bodies Using Boundary Integral Equation Methods,f the solutions of the relevant integral equations. This difficulty is inherent to the methods used. Various methods have been devised to overcome this problem. One of these methods consists in modifying the fundamental solution by adding to it a series of multipoles. With a mild condition on the co
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Solution of a Sommerfeld Diffraction Problem with a Real Wave Number,aken in the framework of Bessel potential spaces and several Wiener-Hopf operators are introduced in order to translate the conditions initially stated. Similar problems can be found in the work of E. Meister and F.-O. Speck (see, e.g., [.]). In the present work, the main difference is the possibili
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Stellar Atmosphere Modeling,ed with the radiation field crossing the boundary layers of a star: the atmosphere is composed of those layers where photons interact with matter for the last time before leaving the star. The goal of a model is to calculate the radiation field at all frequencies, depths and directions consistent wi
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Time-Dependent Bending of a Plate with Mixed Boundary Conditions,le, closed boundary ∂.. In the transverse shear deformation model proposed in [.] it is assumed that the displacement vector at (.., ..), . = (.., ..) ∈ ℝ., at time . ≥ 0, is of the form . where the superscript T denotes matrix transposition. Then the vector . = (.., .., ..). satisfies the equation
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Large Scale Acoustic Simulations on Clusters of SMPs,the coarse grain parallelism of a mesh splitting in a domain decomposition type approach. The advantage of the first technique is its simplicity, in particular if the code already exists and, even better, is already vectorized. This approach is usually the preferred method if the target machine is a
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Models for the Simulation of Electrostatic Precipitators,al flue gases. This technique includes a coupling between fluid flow, electric parameters, and fine particle transport inside electrostatic precipitators [.,.,.]. The final objective is the optimization of the parameters involved in the reactor.
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A Method For Modeling Nonharmonic Periodic Acoustic Radiation from a Loudspeaker, harmonic problem [.,.,.,.,.,.,.,.]. This has the advantage that the frequency domain problem is essentially a purely boundary value type problem and methods exist for its efficient numerical solution. However, in many situations the radiation is either periodic but not harmonic, or transient.
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Implicit Function Theorems and Discontinuous Implicit Differential Equations,tice derived in [.]. The so obtained implicit function theorem is then applied to an initial value problem of an implicit functional differential equation. The functions in the considered equations may be discontinuous in all their arguments. Special cases and a concrete example are given to demonst
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