Convergence of the backward Euler method for type-II superconductors

Stability of two classes of improved backward Euler methods for stochastic delay differential equations of neutral type

This paper examines stability analysis of two classes of improved backward Euler methods, namely split-step $(theta, lambda)$-backward Euler (SSBE) and semi-implicit $(theta,lambda)$-Euler (SIE) methods, for nonlinear neutral stochastic delay differential equations (NSDDEs). It is proved that the SSBE method with $theta, lambdain(0,1]$ can recover the exponential mean-square stability with some...

the investigation of the relationship between type a and type b personalities and quality of translation

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Convergence analysis for Backward-Euler and mixed discontinuous Galerkin methods for the Vlasov-Poisson system

We construct and analyze a numerical scheme for the two-dimensional Vlasov-Poisson system based on a backward-Euler (BE) approximation in time combined with a mixed finite element method for a discretization of the Poisson equation in the spatial domain and a discontinuous Galerkin (DG) finite element approximation in the phase-space variables for the Vlasov equation. We prove the stability est...

Convergence Estimates for a Linear Backward Euler Scheme for the Saturation Equation

In a previous work, stability and consistency results were established for a linearized Euler scheme for the saturation equation. In this paper we continue the mathematical analysis of the scheme, in preparation for its numerical treatment in a future work. We use the regularity results, obtained previously, to establish error estimates in L ( ) for the linear scheme. This work is done with the...

Vortex dynamics for low- type-II superconductors