Grava, Tamara; Mazzuca, Guido Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation. (English) Zbl 1521.37088 Commun. Math. Phys. 399, No. 3, 1689-1729 (2023). MSC: 37K60 39A36 33C47 15B52 60B20 PDFBibTeX XMLCite \textit{T. Grava} and \textit{G. Mazzuca}, Commun. Math. Phys. 399, No. 3, 1689--1729 (2023; Zbl 1521.37088) Full Text: DOI arXiv
Oruç, Ömer Numerical simulation of two-dimensional and three-dimensional generalized Klein-Gordon-Zakharov equations with power law nonlinearity via a meshless collocation method based on barycentric rational interpolation. (English) Zbl 07778285 Numer. Methods Partial Differ. Equations 38, No. 4, 1068-1089 (2022). MSC: 65M70 65M06 65L06 65N35 65D05 35A24 35R09 78A35 78A25 82D10 35Q60 35Q55 35Q53 PDFBibTeX XMLCite \textit{Ö. Oruç}, Numer. Methods Partial Differ. Equations 38, No. 4, 1068--1089 (2022; Zbl 07778285) Full Text: DOI
Esra Köse, G.; Oruç, Ömer; Esen, Alaattin An application of Chebyshev wavelet method for the nonlinear time fractional Schrödinger equation. (English) Zbl 1527.65102 Math. Methods Appl. Sci. 45, No. 11, 6635-6649 (2022). MSC: 65M70 35R11 35Q35 PDFBibTeX XMLCite \textit{G. Esra Köse} et al., Math. Methods Appl. Sci. 45, No. 11, 6635--6649 (2022; Zbl 1527.65102) Full Text: DOI
Besse, Christophe; Duboscq, Romain; Le Coz, Stefan Numerical simulations on nonlinear quantum graphs with the GraFiDi library. (English) Zbl 07525072 SMAI J. Comput. Math. 8, 1-47 (2022). MSC: 65-XX 35R02 65N06 35Q55 PDFBibTeX XMLCite \textit{C. Besse} et al., SMAI J. Comput. Math. 8, 1--47 (2022; Zbl 07525072) Full Text: DOI arXiv
Oruç, Ömer A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger system appearing in Bose-Einstein condensates. (English) Zbl 07428002 Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106042, 18 p. (2022). MSC: 65M70 65M06 65N35 65L06 65D12 65D07 65M12 65M15 35Q55 82C10 82M22 PDFBibTeX XMLCite \textit{Ö. Oruç}, Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106042, 18 p. (2022; Zbl 07428002) Full Text: DOI
Oruç, Ömer A local radial basis function-finite difference (RBF-FD) method for solving 1D and 2D coupled Schrödinger-Boussinesq (SBq) equations. (English) Zbl 1521.65075 Eng. Anal. Bound. Elem. 129, 55-66 (2021). MSC: 65M06 35M10 65D07 65D12 65M70 PDFBibTeX XMLCite \textit{Ö. Oruç}, Eng. Anal. Bound. Elem. 129, 55--66 (2021; Zbl 1521.65075) Full Text: DOI
Bossmann, Lea Derivation of the 2d Gross-Pitaevskii equation for strongly confined 3d bosons. (English) Zbl 1451.81223 Arch. Ration. Mech. Anal. 238, No. 2, 541-606 (2020). Reviewer: Eric Stachura (Marietta) MSC: 81Q05 81V73 35Q40 35Q51 35Q55 PDFBibTeX XMLCite \textit{L. Bossmann}, Arch. Ration. Mech. Anal. 238, No. 2, 541--606 (2020; Zbl 1451.81223) Full Text: DOI arXiv