Results 41 to 50 of about 174,218 (314)
Numerical Approximations for a Nonlocal Evolution Equation [PDF]
SIAM Journal on Numerical Analysis, 2011 In this paper we study numerical approximations of continuous solutions to the nonlocal p-Laplacian type diffusion equation, ut(t, x) = Ω J(x − y)|u(t, y) − u(t, x)| p−2(u(t, y) − u(t, x)) dy. First, we find that a semidiscretization in space of this problem gives rise to an ODE system whose solutions converge uniformly to the continuous one as the ...
Mayte Pérez-Llanos, Julio D. Rossi
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Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation [PDF]
, 2013 Natural Science Foundation of Fujian province [2009J01014]Fractional reaction-subdiffusion equations are widely used in recent years to simulate physical phenomena. In this paper, we consider a variable-order nonlinear reaction-subdiffusion equation.
Turner, I. +6 more
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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
, 2013 The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
Reese, Jason M. +6 more
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FAATNA20>22: Functional Analysis, Approximation Theory and Numerical Analysis [PDF]
, 2023 This special issue contains a selection of contributions that have been presented at the conference “FAATNA20>22: Functional Analysis, Approximation Theory and Numerical Analysis”, which has been held in Matera (Italy), July 5-8 ...
Laurita C. +6 more
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Approaches to enthalpy approximation in numerical simulation of two-component alloy solidification
Computer Assisted Methods in Engineering and Science, 2023 The paper deals with the numerical modelling of solidification of two- component metal alloys. The numerical model was worked out using the enthalpy formulation of solidification and the finite element method.
Norbert Sczygiol
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Novel Approximations to the (Un)forced Pendulum–Cart System: Ansatz and KBM Methods
Mathematics, 2022 In the present investigation, some novel analytical approximations to both unforced and forced pendulum–cart system oscillators are obtained. In our investigation, two accurate and effective approaches, namely, the ansatz method with equilibrium point ...
Weaam Alhejaili +2 more
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Numerical approximation of the integral fractional Laplacian [PDF]
Numerische Mathematik, 2019 We propose a new nonconforming finite element algorithm to approximate the solution to the elliptic problem involving the fractional Laplacian. We first derive an integral representation of the bilinear form corresponding to the variational problem. The numerical approximation of the action of the corresponding stiffness matrix consists of three steps:
Andrea Bonito +2 more
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Collocation Isogeometric Approximation of acoustic wave problems [PDF]
, 2022 In this presentation we consider the numerical approximation of acoustic wave problems with absorbing boundary conditions by the Isogeometric discretization in space, and Newmark scheme in time, both explicit and implicit.
Elena Zampieri
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Numerical approximation of the spectrum of the curl operator [PDF]
Mathematics of Computation, 2013 For bounded, simply-connected domains, an eigenvalue problem for the curl operator with divergence-free eigensolutions is investigated. Two different weak formulations are presented and discretized by finite elements. The first one directly delivers the eigenvalues and eigensolutions of the original problem, but its discretization leads to a degenerate
Rodolfo Rodríguez, Pablo Venegas
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Are approximate number system representations numerical?
Journal of Numerical Cognition, 2023 Previous research suggests that the Approximate Number System (ANS) allows people to approximate the cardinality of a set. This ability to discern numerical quantities may explain how meaning becomes associated with number symbols. However, recently it has been argued that ANS representations are not directly numerical, but rather are formed by ...
Pickering, Jayne +2 more
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