A linearly implicit structure-preserving Fourier pseudo-spectral scheme for the damped nonlinear Schrödinger equation in three dimensions
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-020-09781-3
Abstract: In this paper, we propose a linearly implicit Fourier pseudo-spectral scheme, which preserves the total mass and energy conservation laws for the damped nonlinear Schrödinger equation in three dimensions. With the aid of the semi-norm… read more here.
Keywords: pseudo spectral; fourier pseudo; nonlinear schr; damped nonlinear ... See more keywords
Linearly implicit BDF methods for nonlinear parabolic interface problems
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DOI: 10.1007/s10543-016-0641-x
Abstract: We analyze linearly implicit BDF methods for the time discretization of a nonlinear parabolic interface problem, where the computational domain is divided into two subdomains by an interface, and the nonlinear diffusion coefficient is discontinuous… read more here.
Keywords: implicit bdf; nonlinear parabolic; bdf methods; linearly implicit ... See more keywords
Numerical analysis of linearly implicit Euler-Riemann method for nonlinear Gurtin-MacCamy model
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DOI: 10.1016/j.apnum.2020.12.018
Abstract: Abstract In this paper, we deal with the existence and stability of an equilibrium age distribution of the linearly implicit Euler-Riemann method for nonlinear age-structured population model with density dependence, i.e., the Gurtin-MacCamy models. It… read more here.
Keywords: linearly implicit; implicit euler; riemann method; euler riemann ... See more keywords
Improving the modified linearly implicit quantized state system methods: step size, cycle detection, and linear approximation coefficient
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DOI: 10.1177/00375497251351941
Abstract: The growing intricacy of contemporary engineering systems, typically reduced to differential equations, poses a difficulty in digitally simulating them. The linearly implicit quantized state system (LIQSS) provides a different method from traditional numerical integration techniques… read more here.
Keywords: quantized state; implicit quantized; linear approximation; state system ... See more keywords