Accurate numerical scheme for singularly perturbed parabolic delay differential equation. [PDF]
Woldaregay MM, Duressa GF.
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A Finite Element Approximation for Nematic Liquid Crystal Flow with Stretching Effect Based on Nonincremental Pressure-Correction Method. [PDF]
Meng Z, Liu M, Jia H.
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L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation. [PDF]
Wang Z.
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Operator splitting for the Benjamin-Ono equation
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
core
Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations. [PDF]
Kabeto MJ, Duressa GF.
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Phase field modeling and computation of vesicle growth or shrinkage. [PDF]
Tang X, Li S, Lowengrub JS, Wise SM.
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Optimal Order Convergence Implies Numerical Smoothness
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
core
A uniformly convergent numerical scheme for solving singularly perturbed differential equations with large spatial delay. [PDF]
Ejere AH +3 more
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Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. [PDF]
Boehm U, Cox S, Gantner G, Stevenson R.
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Discontinuous Galerkin isogeometric analysis for segmentations generating overlapping regions. [PDF]
Hofer C, Toulopoulos I.
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