Results 31 to 40 of about 813 (83)
A Virtual Element Method for a Nonlocal FitzHugh-Nagumo Model of Cardiac Electrophysiology
, 2018 We present a Virtual Element Method (VEM) for a nonlocal reaction-diffusion system of the cardiac electric field. To this system, we analyze an $H^1(\Omega)$-conforming discretization by means of VEM which can make use of general polygonal meshes.
Anaya, Verónica +3 more
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Numerical analysis of parabolic p-Laplacian: Approximation of trajectories [PDF]
, 2000 The long time numerical approximation of the parabolic p-Laplacian problem with a time-independent forcing term and sufficiently smooth initial data is studied.
Ju, Ning
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, 2018 Efficient and energy stable high order time marching schemes are very important but not easy to construct for the study of nonlinear phase dynamics. In this paper, we propose and study two linearly stabilized second order semi-implicit schemes for the ...
Wang, Lin, Yu, Haijun
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A Finite Difference method for the Wide-Angle `Parabolic' equation in a waveguide with downsloping bottom [PDF]
, 2011 We consider the third-order wide-angle `parabolic' equation of underwater acoustics in a cylindrically symmetric fluid medium over a bottom of range-dependent bathymetry.
Antonopoulou, D. C. +2 more
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Operator splitting for the Benjamin-Ono equation
, 2015 In this paper we analyze operator splitting for the Benjamin-Ono equation, u_t = uu_x + Hu_xx, where H denotes the Hilbert transform. If the initial data are sufficiently regular, we show the convergence of both Godunov and Strang splitting.Comment: 18 ...
Dutta, R. +3 more
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A tension spline fitted numerical scheme for singularly perturbed reaction-diffusion problem with negative shift. [PDF]
BMC Res Notes, 2023 Ejere AH +3 more
europepmc +1 more source
Optimal Order Convergence Implies Numerical Smoothness
, 2013 It is natural to expect the following loosely stated approximation principle to hold: a numerical approximation solution should be in some sense as smooth as its target exact solution in order to have optimal convergence.
Chou, So-Hsiang
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Accurate numerical scheme for singularly perturbed parabolic delay differential equation. [PDF]
BMC Res Notes, 2021 Woldaregay MM, Duressa GF.
europepmc +1 more source
Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations. [PDF]
BMC Res Notes, 2021 Kabeto MJ, Duressa GF.
europepmc +1 more source
, 2018 This paper presents the first analysis of a space--time hybridizable discontinuous Galerkin method for the advection--diffusion problem on time-dependent domains.
Cesmelioglu, Aycil +3 more
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