Numerical solution of the time-fractional Fokker-Planck equation with general forcing
, 2015 We study two schemes for a time-fractional Fokker-Planck equation with space- and time-dependent forcing in one space dimension. The first scheme is continuous in time and is discretized in space using a piecewise-linear Galerkin finite element method ...
Le, Kim Ngan +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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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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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
Accurate numerical scheme for singularly perturbed parabolic delay differential equation. [PDF]
BMC Res Notes, 2021 Woldaregay MM, 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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Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations. [PDF]
BMC Res Notes, 2021 Kabeto MJ, Duressa GF.
europepmc +1 more source
A Greedy Method for Solving Classes of PDE Problems
, 2019 Motivated by the successful use of greedy algorithms for Reduced Basis Methods, a greedy method is proposed that selects N input data in an asymptotically optimal way to solve well-posed operator equations using these N data.
Schaback, Robert
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Discontinuous Galerkin isogeometric analysis for segmentations generating overlapping regions. [PDF]
Appl Anal, 2021 Hofer C, Toulopoulos I.
europepmc +1 more source
An embedded--hybridized discontinuous Galerkin finite element method for the Stokes equations
, 2019 We present and analyze a new embedded--hybridized discontinuous Galerkin finite element method for the Stokes problem. The method has the attractive properties of full hybridized methods, namely an $H({\rm div})$-conforming velocity field, pointwise ...
Rhebergen, Sander, Wells, Garth N.
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