
Highorder linearly implicit structurepreserving exponential integrators for the nonlinear Schrödinger equation
A novel class of highorder linearly implicit energypreserving exponent...
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Stability and error analysis of a class of highorder IMEX schemes for Navierstokes equations with periodic boundary conditions
We construct highorder semidiscreteintime and fully discrete (with F...
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Highorder BDF fully discrete scheme for backward fractional FeynmanKac equation with nonsmooth data
The FeynmanKac equation governs the distribution of the statistical obs...
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On the numerical approximations of the periodic Schrödinger equation
We consider semidiscrete finite differences schemes for the periodic Scr...
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Discrete Maximum principle of a high order finite difference scheme for a generalized AllenCahn equation
We consider solving a generalized AllenCahn equation coupled with a pas...
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Long time H^s_α stability of a classical scheme for CahnHilliard equation with polynomial nonlinearity
In this paper we investigate the long time stability of the implicit Eul...
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Error estimation of the Relaxation Finite Difference Scheme for the nonlinear Schrödinger Equation
We consider an initial and boundary value problem for the nonlinear Sc...
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A high order fully discrete scheme for the Kortewegde vries equation with a timestepping procedure of RungeKuttacomposition type
We consider the periodic initialvalue problem for the Kortewegde Vries equation that we discretize in space by a spectral FourierGalerkin method and in time by an implicit, high order, RungeKutta scheme of composition type based on the implicit midpoint rule. We prove L^2 error estimates for the resulting semidiscrete and the fully discrete approximations.
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