Results 11 to 20 of about 1,372,465 (281)
On the time-dependent parabolic wave equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 One approach to the study of wave propagation in a restricted domain is to approximate the reduced Helmholtz equation by a parabolic wave equation. Here we consider wave propagation in a restricted domain modelled by a parabolic wave equation whose ...
Arthur D. Gorman
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Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions [PDF]
, 2013 A semilinear second-order parabolic equation is considered in a regular and a singularly perturbed regime. For this equation, we give computable a posteriori error estimates in the maximum norm.
Linss, Torsten, Kopteva, Natalia
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Analytical Expansions for Parabolic Equations [PDF]
SIAM Journal on Applied Mathematics, 2013 We consider the Cauchy problem associated with a general parabolic partial differential equation in $d$ dimensions. We find a family of closed-form asymptotic approximations for the unique classical solution of this equation as well as rigorous short-time error estimates.
Lorig M. +2 more
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A family of difference schemes for fourth order parabolic partial differential equations [PDF]
, 1983 A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
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Finite element multistep multideriavative schemes for parabolic equations [PDF]
, 1976 The linear, homogeneous, parabolic equation is solved by applying finite element discretizations in space and A0 —stable, linear multistep, multiderivative (L.M.S.D.) methods in time. Such schemes are unconditionally stable. An error analysis establishes
Moore, P
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An Approximation of Ultra‐Parabolic Equations [PDF]
Abstract and Applied Analysis, 2012 The first and second order of accuracy difference schemes for the approximate solution of the initial boundary value problem for ultra‐parabolic equations are presented. Stability of these difference schemes is established. Theoretical results are supported by the result of numerical examples.
Ashyralyev, Allaberen, Yılmaz, Serhat
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Proceedings of the National Academy of Sciences, 1957 Beweis zweier Sätze, die gestatten, auf die Stetigkeit der Lösungen parabolischer (elliptischer) Differentialgleichungen zu schließen, wenn die Lösung für \(t=0\) (auf dem Rande) beschränkt sein soll.
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Numerical Solution of Parabolic Equations by the Box Scheme [PDF]
, 1973 The box scheme proposed by H. B. Keller is a numerical method for solving parabolic partial differential equations. We give a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic ...
Fong, Kirby William
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Fast computation of the nonlocal boundary condition in finite difference parabolic equation radiowave propagation simulations [PDF]
, 2008 Finite difference parabolic equation method (FD-PEM) codes using a nonlocal boundary condition to model radiowave propagation over electrically large domains, require the computation of time consuming spatial convolution integrals. For the first time, we
Mias, Christos
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Higher order parallel splitting methods for parabolic partial differential equations [PDF]
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
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