Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Schrödinger Equations
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DOI: 10.1007/s10915-017-0362-6
Abstract: In this paper, we study the superconvergence properties of the LDG method for the one-dimensional linear Schrödinger equation. We build a special interpolation function by constructing a correction function, and prove the numerical solution is… read more here.
Keywords: method one; schr dinger; one dimensional; linear schr ... See more keywords
Decay of the stochastic linear Schrödinger equation in $$d \ge 3$$ d ≥ 3 with small multiplicative noise
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DOI: 10.1007/s40072-020-00172-9
Abstract: We give decay estimates of the solution to the linear Schrödinger equation in dimension $$d \ge 3$$ d ≥ 3 with a small noise which is white in time and colored in space. As a… read more here.
Keywords: dinger equation; decay; schr; linear schr ... See more keywords
Perturbative Treatment of the Non-Linear q-Schrödinger and q-Klein-Gordon Equations
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DOI: 10.3390/e19010021
Abstract: Interesting non-linear generalization of both Schrodinger’s and Klein–Gordon’s equations have been recently advanced by Tsallis, Rego-Monteiro and Tsallis (NRT) in Nobre et al. (Phys. Rev. Lett. 2011, 106, 140601). There is much current activity going… read more here.
Keywords: treatment non; non linear; klein gordon; perturbative treatment ... See more keywords