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Comparing nested sequences of Leja and PseudoGauss points to interpolate in 1D and solve the Schrödinger equation in 9D

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Publication:1716010
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DOI10.1007/978-3-319-75426-0_1zbMath1408.65092OpenAlexW2809008232MaRDI QIDQ1716010

Tucker jun. Carrington, Jens Oettershagen, Gustavo Avila

Publication date: 29 January 2019

Full work available at URL: https://doi.org/10.1007/978-3-319-75426-0_1

zbMATH Keywords

generalized eigenvalue problemcollocation9D vibrational Schrödinger equation


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)


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Strang Splitting in Combination with Rank-1 and Rank-r Lattices for the Time-Dependent Schrödinger Equation, Efficiently transforming from values of a function on a sparse grid to basis coefficients



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