Design of partial differential equation hull surfaces using genetic algorithms
The automatic generation of a range of flat-sided hull forms which satisfy constraints on various primary and secondary geometric parameters is considered. The curved section of each hull surface is generated using the Partial Differential Equation (PDE)
Lowe, Tim W.
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Resolve the multitude of microscale interactions to holistically discretise the stochastically forced Burgers' partial differential equation [PDF]
[Abstract]: Constructing discrete models of stochastic partial differential equations is very delicate. Here we use modern dynamical systems theory to derive spatial discretisations of the nonlinear advection-diffusion dynamics of the stochastically ...
Roberts, A. J.
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A numerical method for the expected penalty–reward function in a Markov-modulated jump–diffusion process. [PDF]
A generalization of the Cramér–Lundberg risk model perturbed by a diffusion is proposed. Aggregate claims of an insurer follow a compound Poisson process and premiums are collected at a constant rate with additional random fluctuation.
Usábel, Miguel A., Diko, Peter
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Nonlinear singular hyperbolic initial boundary value problems
In this article, we aim to prove the well posedness of a one point initial boundary value problem for a nonlinear hyperbolic singular integro-differential partial differential equation.
Said Mesloub, Imed Bachar
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Boundary value problem B1x = f with an abstract linear operator B1, corresponding to an Fredholm integro-differential equation with ordinary or partial differential operator is researched.
I.N. Parasidis, E. Providas
doaj +1 more source
Global extrapolation procedures for linear partial differential equations
Global extrapolation procedures, in space and time are considered for the numerical Solution of linear partial differential equations. Global extrapolation procedures in time only are reviewed.
Twizell, E H
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An hp-Local Discontinuous Galerkin method for Parabolic\ud Integro-Differential Equations
In this article, a priori error analysis is discussed for an hp-local discontinuous Galerkin (LDG) approximation to a parabolic integro-differential equation.
Pani, A. K., Yadav, S
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Solutions in several types of periodicity for partial neutral integro-differential equation
In this article we study the existence of mild solutions in several types of periodicity for partial neutral integro-differential equations with unbounded delays.
Jose Paulo C. dos Santos +1 more
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Moving mesh methods for solving parabolic partial differential equations [PDF]
In this thesis, we introduce and assess a new adaptive method for solving non-linear parabolic partial differential equations with fixed or moving boundaries, using a moving mesh with continuous finite elements.
Marlow, Robert
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Singular integro-differential equations of parabolic type
We study a linear singular first-order integro-differential Cauchy problems in Banach spaces. Singular here means that the integro differential equation is not in normal form neither can it be reduced to such a form.
A. Favini, H. Tanabe, A. Lorenzi
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