Low regularity estimates of the Lie-Trotter time-splitting Fourier spectral method for the logarithmic Schrödinger equation.

Xiaolong Zhang 0005 Dalian University of Technology, School of Mathematical Sciences, China https://orcid.org/0000-0003-4771-1267 https://www.researcherid.com/rid/K-7847-2015 https://www.scopus.com/authid/detail.uri?authorId=56640254600 Xiaolong Zhang Xiaolong Zhang 0001 Xiaolong Luke Zhang Xiaolong (Luke) Zhang Pennsylvania State University, College of Information Sciences and Technology, University Park, PA, USA https://orcid.org/0000-0002-6828-4930 Xiaolong Zhang 0002 Wuhan University of Science and Technology, School of Computer Science and Technology, Hubei Key Laboratory of Intelligent Information Processing and Real-time Industrial System, China Tokyo Institute of Technology, Department of Computer Science, Japan https://orcid.org/0000-0001-5615-2044 https://www.wikidata.org/entity/Q131010001 Xiaolong Zhang 0003 Georgia Southern University, Department of Finance and Quantitative Analysis, Statesboro, GA, USA Fairleigh Dickinson University, Department of Information Systems and Decision Sciences, Madison, NJ, USA Xiaolong Zhang 0004 The University of Hong Kong, Hong Kong https://orcid.org/0000-0003-0879-5752 Xiaolong Zhang 0006 Tongji University, School of Mechanical Engineering, Shanghai, China https://orcid.org/0000-0001-6316-1088 Xiaolong Zhang 0007 Nanchang University, College of Information Engineering, Nanchang, China https://orcid.org/0000-0001-9088-6826 Xiaolong Zhang 0008 Zhejiang University, College of Computer Science and Technology, Hangzhou, China https://orcid.org/0000-0002-4595-5965 Xiaolong Zhang 0009 Huazhong University of Science and Technology, School of Mechanical Science and Engineering, Wuhan, China https://orcid.org/0000-0003-2808-1220

Xiaolong Zhang 0005 Li-Lian Wang Low regularity estimates of the Lie-Trotter time-splitting Fourier spectral method for the logarithmic Schrödinger equation. 773-801 2025 95 Math. Comput. 358 https://doi.org/10.1090/mcom/4070 db/journals/moc/moc95.html#ZhangW25 streams/journals/moc

Xiaolong Zhang 0005 Comparisons of best approximations with Chebyshev expansions for functions with logarithmic endpoint singularities. 1355-1379 2023 November 94 Numer. Algorithms 3 https://doi.org/10.1007/s11075-023-01538-5 db/journals/na/na94.html#Zhang23

Xiaolong Zhang 0005 John P. Boyd 0001 Exact solutions to a nonlinear partial differential equation: The Product-of-Curvatures Poisson (uxxuyy=1). 113866 2022 406 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2021.113866 https://www.wikidata.org/entity/Q114201965 db/journals/jcam/jcam406.html#ZhangB22

Xiaolong Zhang 0005 John P. Boyd 0001 Optimal Truncations for Multivariate Fourier and Chebyshev Series: Mysteries of the Hyperbolic Cross: Part I: Bivariate Case. 34 2020 82 J. Sci. Comput. 2 https://doi.org/10.1007/s10915-020-01131-1 db/journals/jscic/jscic82.html#ZhangB20

Xiaolong Zhang 0005 Li Zou Songxin Liang Cheng Liu A novel analytic approximation method with a convergence acceleration parameter for solving nonlinear problems. 354-364 2018 56 Commun. Nonlinear Sci. Numer. Simul. https://doi.org/10.1016/j.cnsns.2017.08.025 db/journals/cnsns/cnsns56.html#ZhangZLL18

Xiaolong Zhang 0005 Songxin Liang Li Zou Uniqueness and error estimates for solutions to higher-order boundary value problems. 44-59 2017 321 J. Comput. Appl. Math. https://doi.org/10.1016/j.cam.2017.02.023 db/journals/jcam/jcam321.html#ZhangLZ17

Xiaolong Zhang 0005 Songxin Liang Adomian decomposition method is a special case of Lyapunov's artificial small parameter method. 177-179 2015 48 Appl. Math. Lett. https://doi.org/10.1016/j.aml.2015.04.011 db/journals/appml/appml48.html#ZhangL15a

John P. Boyd 0001 Songxin Liang Cheng Liu Li-Lian Wang Li Zou