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Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation

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0 Published in 2021 at "Numerical Algorithms"

DOI: 10.1007/s11075-020-01044-y

Abstract: This paper presents two second-order and linear finite element schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation. In the first numerical scheme, we adopt the L 2-1 σ formula to approximate the Caputo derivative. However,… read more here.

Keywords: order linear; schemes multi; order; second order ... See more keywords

Phase Transition and Second Harmonic Generation in Thiophosphates Ag2Cd(P2S6) and AgCd3(PS4)S2 Containing Two Second-Order Jahn-Teller Distorted Cations.

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1 Published in 2017 at "Inorganic chemistry"

DOI: 10.1021/acs.inorgchem.6b01016

Abstract: Two new phases in the Ag-Cd-P-S system containing two second-order Jahn-Teller (SOJT) distorted d10 cations (Cd2+ and Ag+), namely, Ag2Cd(P2S6) (1) and AgCd3(PS4)S2 (2), are obtained via medium-temperature solid-state synthesis. Compound 1 exhibits a two-dimensional… read more here.

Keywords: ps4; order; phase transition; two second ... See more keywords

Combinatorics of two second-order mock theta functions

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0 Published in 2020 at "International Journal of Number Theory"

DOI: 10.1142/s1793042120400229

Abstract: We introduce combinatorial interpretations of the coefficients of two second-order mock theta functions. Then, we provide a bijection that relates the two combinatorial interpretations for each function. By studying other special cases of the multivariate… read more here.

Keywords: mock theta; two second; order mock;