Results 31 to 40 of about 1,262,805 (184)
Optimized explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems [PDF]
, 2012 Explicit Runge-Kutta schemes with large stable step sizes are developed for integration of high order spectral difference spatial discretization on quadrilateral grids.
Deconinck, W. +2 more
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On the stability of parabolic difference schemes [PDF]
Mathematics of Computation, 1965 In the following we shall always suppose that (1.3) is a properly posed initial value problem in the sense of Richtmyer [17],2 and only engage in the study of stability conditions for difference approximations. The existence, uniqueness, etc., of solutions of parabolic systems of differential equations have been studied by, among others, Aronson [1 ...
openaire +2 more sources
Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2019 One of the most important requirements for the materials (zirconium alloys) used in the reactor active zone is low hydrogen absorptivity, since hydrogen-induced embrittlement may cause zirconium cladding damage.
Natalia Rodchenkova, Kseniia Grudova
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Formulation and Numerical Solution of Plane Problems of the Theory of Elasticity in Strains
Mathematics, 2023 This article is devoted to the formulation and numerical solution of boundary-value problems in the theory of elasticity with respect to deformations. Similar to the well-known Beltrami–Michell stress equations, the Saint-Venant compatibility conditions ...
Dilmurod Turimov +3 more
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Geometric Error of Finite Volume Schemes for Conservation Laws on Evolving Surfaces [PDF]
, 2013 This paper studies finite volume schemes for scalar hyperbolic conservation laws on evolving hypersurfaces of $\mathbb{R}^3$. We compare theoretical schemes assuming knowledge of all geometric quantities to (practical) schemes defined on moving polyhedra
Giesselmann, Jan, Müller, Thomas
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Identification hyperbolic problems with the Neumann boundary condition
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In the present study, an identification problem with the Neumann boundary condition for a one-dimensional hyperbolic equation is investigated. Stability estimates for the solution of the identification problem are established. Furthermore, a first order
A. Ashyralyev, F. Emharab
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On the numerical schemes for Langevin-type equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this paper, a numerical approach is proposed based on the variation-of-constants formula for the numerical discretization Langevin-type equations. Linear and non-linear cases are treated separately.
M. Akat, R. Kosker, A. Sirma
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On convergence of difference schemes of high accuracy for one pseudo-parabolic Sobolev type equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 Difference schemes of the finite difference method and the finite element method of high-order accuracy in time and space are proposed and investigated for a pseudo-parabolic Sobolev type equation.
M.M. Aripov +3 more
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Lie group stability of finite difference schemes [PDF]
, 2007 Differential equations arising in fluid mechanics are usually derived from the intrinsic properties of mechanical systems, in the form of conservation laws, and bear symmetries, which are not generally preserved by a finite difference approximation, and ...
David, Claire +3 more
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Finite difference schemes for the symmetric Keyfitz-Kranzer system
, 2012 We are concerned with the convergence of numerical schemes for the initial value problem associated to the Keyfitz-Kranzer system of equations. This system is a toy model for several important models such as in elasticity theory, magnetohydrodynamics ...
A. Tveito +15 more
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