Results 41 to 50 of about 51,201 (262)
Mathematics, 2023 The article considers an implicit finite-difference scheme for the Duffing equation with a derivative of a fractional variable order of the Riemann–Liouville type.
Valentine Aleksandrovich Kim +2 more
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Theoretical Optimization of Finite Difference Schemes
, 2006 The aim of this work is to develop general optimization methods for finite difference schemes used to approximate linear differential equations. The specific case of the transport equation is exposed. In particular, the minimization of the numerical error is taken into account.
David, Claire, Sagaut, Pierre
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Advanced Engineering Materials, EarlyView.A numerical–experimental framework is developed for characterizing multi‐matrix fiber‐reinforced polymers (MM‐FRPs) combining epoxy and polyurethane matrices. Harmonic bending tests are integrated with finite element model updating (FEMU) to simultaneously identify elastic and viscoelastic material parameters.
Rodrigo M. Dartora +4 more
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Nonlinear Instability in Dissipative Finite Difference Schemes [PDF]
SIAM Review, 1989 A unified analysis of reaction-diffusion equations and their finite difference representations is presented. Continuous and discrete problems are studied from the perspective of bifurcation theory. The numerical instability is shown to be associated with the bifurcation of periodic orbits in discrete systems.
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Advanced Engineering Materials, EarlyView.Geometry‐driven thermal behavior in wire‐arc additive manufacturing (WAAM) influences microstructural evolution during nonequilibrium solidification of a chemically complex Fe–Cr–Nb–W–Mo–C nanocomposite system. By comparing different deposits configurations, distinct entropy–cooling rate correlations, segregation, and carbide evolution are revealed ...
Blanca Palacios +5 more
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Conservative Linear Difference Scheme for Rosenau-KdV Equation
Advances in Mathematical Physics, 2013 A conservative three-level linear finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau-KdV equation is proposed. The difference scheme simulates two conservative quantities of the problem well.
Jinsong Hu, Youcai Xu, Bing Hu
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Some estimates for a special linear difference parabolic equation
Mathematical Modelling and Analysis, 1997 The finite‐difference scheme for a special linear parabolic equation is investigated. A priori estimates for such finite‐difference scheme are derived in the difference analogues of norm on Banach function spaces V2 and W 2 2,1. First Published Online:
Artūras Štikonas
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A Predictor-Corrector Scheme for Conservation Equations with Discontinuous Coefficients
Journal of Mathematical and Fundamental Sciences, 2020 In this paper we propose an explicit predictor-corrector finite difference scheme to numerically solve one-dimensional conservation laws with discontinuous flux function appearing in various physical model problems, such as traffic flow and two-phase ...
Nasrin Okhovati, Mohammad Izadi
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The Structure of Certain Finite Difference Schemes
SIAM Review, 1961 where, upon introducing a set of mesh points each identified by an (n + 1 )-tuple of integers K = (Ko , K1 , * * * , Kn), we choose for each non-initial point K a subset of mesh points S(K) not containing K. The scheme represented by (2) will be explicit if the mesh points can be ordered in such a way that points at which initial conditions are given ...
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Advanced Engineering Materials, EarlyView.This article presents the design, modeling, and characterization of air‐pressure–actuated programmable vibroacoustic metamaterials (PVAMM). The study focuses on leveraging air pressure to dynamically tune resonance frequencies for effective noise attenuation.
William Kaal +2 more
wiley +1 more source