Briard, A.; Gréa, B.-J.; Nguyen, F. Turbulent mixing in the vertical magnetic Rayleigh-Taylor instability. (English) Zbl 07791600 J. Fluid Mech. 979, Paper No. A8, 53 p. (2024). MSC: 76E25 76F25 76F45 76F65 76M22 PDFBibTeX XMLCite \textit{A. Briard} et al., J. Fluid Mech. 979, Paper No. A8, 53 p. (2024; Zbl 07791600) Full Text: DOI
Li, Jiyong Explicit and structure-preserving exponential wave integrator Fourier pseudo-spectral methods for the Dirac equation in the simultaneously massless and nonrelativistic regime. (English) Zbl 07783087 Calcolo 61, No. 1, Paper No. 3, 46 p. (2024). MSC: 65M70 35Q41 PDFBibTeX XMLCite \textit{J. Li}, Calcolo 61, No. 1, Paper No. 3, 46 p. (2024; Zbl 07783087) Full Text: DOI
Yin, Fengli; Fu, Yayun Explicit high accuracy energy-preserving Lie-group sine pseudo-spectral methods for the coupled nonlinear Schrödinger equation. (English) Zbl 07763845 Appl. Numer. Math. 195, 1-16 (2024). MSC: 65Mxx 35Qxx 35Kxx PDFBibTeX XMLCite \textit{F. Yin} and \textit{Y. Fu}, Appl. Numer. Math. 195, 1--16 (2024; Zbl 07763845) Full Text: DOI
Li, Jiyong; Jin, Xiaoqian Structure-preserving exponential wave integrator methods and the long-time convergence analysis for the Klein-Gordon-Dirac equation with the small coupling constant. (English) Zbl 07777359 Numer. Methods Partial Differ. Equations 39, No. 4, 3375-3416 (2023). MSC: 65M70 65M06 65N35 65M12 65M15 35B05 35B65 81V05 81Q05 35Q41 PDFBibTeX XMLCite \textit{J. Li} and \textit{X. Jin}, Numer. Methods Partial Differ. Equations 39, No. 4, 3375--3416 (2023; Zbl 07777359) Full Text: DOI
Fardi, Mojtaba A kernel-based pseudo-spectral method for multi-term and distributed order time-fractional diffusion equations. (English) Zbl 07777021 Numer. Methods Partial Differ. Equations 39, No. 3, 2630-2651 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Fardi}, Numer. Methods Partial Differ. Equations 39, No. 3, 2630--2651 (2023; Zbl 07777021) Full Text: DOI
Jiang, Chaolong; Cui, Jin; Cai, Wenjun; Wang, Yushun A novel linearized and momentum-preserving Fourier pseudo-spectral scheme for the Rosenau-Korteweg de Vries equation. (English) Zbl 07776974 Numer. Methods Partial Differ. Equations 39, No. 2, 1558-1582 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{C. Jiang} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1558--1582 (2023; Zbl 07776974) Full Text: DOI arXiv
Tan, Zengqiang; Tang, Huazhong A general class of linear unconditionally energy stable schemes for the gradient flows. II. (English) Zbl 07766262 J. Comput. Phys. 495, Article ID 112574, 28 p. (2023). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{Z. Tan} and \textit{H. Tang}, J. Comput. Phys. 495, Article ID 112574, 28 p. (2023; Zbl 07766262) Full Text: DOI arXiv
Li, Xin; Sheng, Zhou; Zhang, Luming High-order Lagrange multiplier method for the coupled Klein-Gordon-Schrödinger system. (English) Zbl 07748043 J. Comput. Phys. 493, Article ID 112456, 21 p. (2023). MSC: 65Mxx 35Qxx 65Lxx PDFBibTeX XMLCite \textit{X. Li} et al., J. Comput. Phys. 493, Article ID 112456, 21 p. (2023; Zbl 07748043) Full Text: DOI
Zhang, Wen; Yang, Xiang I. A.; Zhu, Xiaowei; Wan, Minping; Chen, Shiyi Asymmetric secondary flows above geometrically symmetric surface roughness. (English) Zbl 07733826 J. Fluid Mech. 970, Paper No. A15, 17 p. (2023). MSC: 76F40 76F65 76D05 76M22 PDFBibTeX XMLCite \textit{W. Zhang} et al., J. Fluid Mech. 970, Paper No. A15, 17 p. (2023; Zbl 07733826) Full Text: DOI
Luo, Songting; Liu, Qing Huo A fixed-point iteration method for high frequency vector wave equations. (English) Zbl 07715236 J. Comput. Phys. 490, Article ID 112306, 21 p. (2023). MSC: 65Mxx 65Fxx 65Nxx PDFBibTeX XMLCite \textit{S. Luo} and \textit{Q. H. Liu}, J. Comput. Phys. 490, Article ID 112306, 21 p. (2023; Zbl 07715236) Full Text: DOI
Guo, Yantao; Fu, Yayun Two efficient exponential energy-preserving schemes for the fractional Klein-Gordon Schrödinger equation. (English) Zbl 07703835 Math. Comput. Simul. 209, 169-183 (2023). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{Y. Guo} and \textit{Y. Fu}, Math. Comput. Simul. 209, 169--183 (2023; Zbl 07703835) Full Text: DOI
Huang, Yifei; Peng, Gang; Zhang, Gengen; Zhang, Hong High-order Runge-Kutta structure-preserving methods for the coupled nonlinear Schrödinger-KdV equations. (English) Zbl 07703419 Math. Comput. Simul. 208, 603-618 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Huang} et al., Math. Comput. Simul. 208, 603--618 (2023; Zbl 07703419) Full Text: DOI
Li, Jiyong Optimal error estimates of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation. (English) Zbl 07703411 Math. Comput. Simul. 208, 398-423 (2023). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{J. Li}, Math. Comput. Simul. 208, 398--423 (2023; Zbl 07703411) Full Text: DOI
Wang, Xianfen; Li, Jiyong Convergence analysis of two conservative finite difference Fourier pseudo-spectral schemes for Klein-Gordon-Dirac system. (English) Zbl 07689975 Appl. Math. Comput. 439, Article ID 127634, 20 p. (2023). MSC: 65Mxx 35Qxx 81Qxx PDFBibTeX XMLCite \textit{X. Wang} and \textit{J. Li}, Appl. Math. Comput. 439, Article ID 127634, 20 p. (2023; Zbl 07689975) Full Text: DOI
Wang, Jialing; Wang, Tingchun; Wang, Yushun A new framework of convergence analysis for solving the general nonlinear Schrödinger equation using the Fourier pseudo-spectral method in two dimensions. (English) Zbl 07679220 Adv. Appl. Math. Mech. 15, No. 3, 786-813 (2023). MSC: 65Mxx 35Q55 65T50 PDFBibTeX XMLCite \textit{J. Wang} et al., Adv. Appl. Math. Mech. 15, No. 3, 786--813 (2023; Zbl 07679220) Full Text: DOI
Abdolabadi, F.; Zakeri, A.; Amiraslani, A. A split-step Fourier pseudo-spectral method for solving the space fractional coupled nonlinear Schrödinger equations. (English) Zbl 07676840 Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107150, 25 p. (2023). MSC: 65-XX 35R11 65N35 65M70 65N12 PDFBibTeX XMLCite \textit{F. Abdolabadi} et al., Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107150, 25 p. (2023; Zbl 07676840) Full Text: DOI
Iida, Takahito; Zareei, Ahmad; Alam, Mohammad-Reza Water wave cloaking using a floating composite plate. (English) Zbl 07638606 J. Fluid Mech. 954, Paper No. A4, 22 p. (2023). MSC: 76B15 76M22 74F10 74J20 74K20 PDFBibTeX XMLCite \textit{T. Iida} et al., J. Fluid Mech. 954, Paper No. A4, 22 p. (2023; Zbl 07638606) Full Text: DOI arXiv
Maitland-Davies, Cai; Bühler, Oliver Two-way wave-vortex interactions in a Lagrangian-mean shallow water model. (English) Zbl 07638603 J. Fluid Mech. 954, Paper No. A1, 24 p. (2023). MSC: 76B15 76B47 76M12 76M22 86A05 PDFBibTeX XMLCite \textit{C. Maitland-Davies} and \textit{O. Bühler}, J. Fluid Mech. 954, Paper No. A1, 24 p. (2023; Zbl 07638603) Full Text: DOI
Nazeer, Mubbashar; Ahmad, Fayyaz; Ali, Waqas; Khan, Muhammad Ijaz; Saleem, Adila; Khaliq, Zubair; Kadry, Seifedine; Chu, Yu-Ming Perturbation and numerical solutions of non-Newtonian fluid bounded within in a porous channel: applications of pseudo-spectral collocation method. (English) Zbl 07777086 Numer. Methods Partial Differ. Equations 38, No. 3, 278-292 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Nazeer} et al., Numer. Methods Partial Differ. Equations 38, No. 3, 278--292 (2022; Zbl 07777086) Full Text: DOI
Fardi, Mojtaba; Al-Omari, Shrideh K. Qasem; Araci, Serkan A pseudo-spectral method based on reproducing kernel for solving the time-fractional diffusion-wave equation. (English) Zbl 07636100 Adv. Contin. Discrete Models 2022, Paper No. 54, 14 p. (2022). MSC: 39-XX 34-XX PDFBibTeX XMLCite \textit{M. Fardi} et al., Adv. Contin. Discrete Models 2022, Paper No. 54, 14 p. (2022; Zbl 07636100) Full Text: DOI
Sinhababu, Arijit; Bhattacharya, Anirban A pseudo-spectral based efficient volume penalization scheme for Cahn-Hilliard equation in complex geometries. (English) Zbl 07538447 Math. Comput. Simul. 199, 1-24 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{A. Sinhababu} and \textit{A. Bhattacharya}, Math. Comput. Simul. 199, 1--24 (2022; Zbl 07538447) Full Text: DOI
Hertel, Tobias; Besse, Nicolas; Frisch, Uriel The Cauchy-Lagrange method for 3D-axisymmetric wall-bounded and potentially singular incompressible Euler flows. (English) Zbl 07524763 J. Comput. Phys. 449, Article ID 110758, 44 p. (2022). MSC: 35Qxx 76Bxx 65Mxx PDFBibTeX XMLCite \textit{T. Hertel} et al., J. Comput. Phys. 449, Article ID 110758, 44 p. (2022; Zbl 07524763) Full Text: DOI
Antoine, Xavier; Zhao, Xiaofei Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes. (English) Zbl 07516812 J. Comput. Phys. 448, Article ID 110728, 24 p. (2022). MSC: 35Qxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{X. Antoine} and \textit{X. Zhao}, J. Comput. Phys. 448, Article ID 110728, 24 p. (2022; Zbl 07516812) Full Text: DOI arXiv
Huang, Qiong-Ao; Zhang, Gengen; Wu, Bing Fully-discrete energy-preserving scheme for the space-fractional Klein-Gordon equation via Lagrange multiplier type scalar auxiliary variable approach. (English) Zbl 07431725 Math. Comput. Simul. 192, 265-277 (2022). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{Q.-A. Huang} et al., Math. Comput. Simul. 192, 265--277 (2022; Zbl 07431725) Full Text: DOI
Xu, Zhuangzhi; Cai, Wenjun; Jiang, Chaolong; Wang, Yushun On the \(L^\infty\) convergence of a conservative Fourier pseudo-spectral method for the space fractional nonlinear Schrödinger equation. (English) Zbl 07776034 Numer. Methods Partial Differ. Equations 37, No. 2, 1591-1611 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Z. Xu} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 1591--1611 (2021; Zbl 07776034) Full Text: DOI arXiv
Gaidamour, Jérémie; Tang, Qinglin; Antoine, Xavier BEC2HPC: a HPC spectral solver for nonlinear Schrödinger and rotating Gross-Pitaevskii equations. Stationary states computation. (English) Zbl 07695383 Comput. Phys. Commun. 265, Article ID 108007, 16 p. (2021). MSC: 81-08 35Qxx PDFBibTeX XMLCite \textit{J. Gaidamour} et al., Comput. Phys. Commun. 265, Article ID 108007, 16 p. (2021; Zbl 07695383) Full Text: DOI
Borges, Leonardo S.; Bedin, Luciano; Bazán, Fermín S. V. Multidomain Chebyshev pseudo-spectral method applied to the Poisson-Boltzmann equation for two parallel plates. (English) Zbl 07443364 J. Eng. Math. 127, Paper No. 15, 25 p. (2021). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{L. S. Borges} et al., J. Eng. Math. 127, Paper No. 15, 25 p. (2021; Zbl 07443364) Full Text: DOI
Li, Jiyong Convergence analysis of a symmetric exponential integrator Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation. (English) Zbl 07431538 Math. Comput. Simul. 190, 691-713 (2021). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{J. Li}, Math. Comput. Simul. 190, 691--713 (2021; Zbl 07431538) Full Text: DOI
Hu, Dongdong; Cai, Wenjun; Xu, Zhuangzhi; Bo, Yonghui; Wang, Yushun Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping. (English) Zbl 07428987 Math. Comput. Simul. 188, 35-59 (2021). MSC: 65-XX 78-XX PDFBibTeX XMLCite \textit{D. Hu} et al., Math. Comput. Simul. 188, 35--59 (2021; Zbl 07428987) Full Text: DOI
Mahato, Dipti Kanika; Govindarajan, A.; Lakshmanan, M.; Sarma, Amarendra K. Dispersion managed generation of Peregrine solitons and Kuznetsov-Ma breather in an optical fiber. (English) Zbl 07409426 Phys. Lett., A 392, Article ID 127134, 8 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{D. K. Mahato} et al., Phys. Lett., A 392, Article ID 127134, 8 p. (2021; Zbl 07409426) Full Text: DOI arXiv
Park, Jea-Hyun; Salgado, Abner J.; Wise, Steven M. Preconditioned accelerated gradient descent methods for locally Lipschitz smooth objectives with applications to the solution of nonlinear PDEs. (English) Zbl 07394067 J. Sci. Comput. 89, No. 1, Paper No. 17, 37 p. (2021). MSC: 65B99 65J08 65N35 65K10 PDFBibTeX XMLCite \textit{J.-H. Park} et al., J. Sci. Comput. 89, No. 1, Paper No. 17, 37 p. (2021; Zbl 07394067) Full Text: DOI arXiv
Hong, Qi; Wang, Yushun; Gong, Yuezheng Optimal error estimate of two linear and momentum-preserving Fourier pseudo-spectral schemes for the RLW equation. (English) Zbl 07771396 Numer. Methods Partial Differ. Equations 36, No. 2, 394-417 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Q. Hong} et al., Numer. Methods Partial Differ. Equations 36, No. 2, 394--417 (2020; Zbl 07771396) Full Text: DOI arXiv
Cui, Jin; Cai, Wenjun; Wang, Yushun A linearly-implicit and conservative Fourier pseudo-spectral method for the 3D Gross-Pitaevskii equation with angular momentum rotation. (English) Zbl 07687598 Comput. Phys. Commun. 253, Article ID 107160, 26 p. (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{J. Cui} et al., Comput. Phys. Commun. 253, Article ID 107160, 26 p. (2020; Zbl 07687598) Full Text: DOI
Djaokamla, Temga; Ndeuzoumbet, Siniki; Sylvain, Koumla Pseudo-spectral and forward Euler scheme methods for solving nonlinear evolution partial differential equation in 2D-space. (English) Zbl 07480290 Int. J. Numer. Methods Appl. 19, No. 1, 29-41 (2020). MSC: 47J35 35M13 80M20 80M22 PDFBibTeX XMLCite \textit{T. Djaokamla} et al., Int. J. Numer. Methods Appl. 19, No. 1, 29--41 (2020; Zbl 07480290)
Suzuki, Yuya; Nuyens, Dirk Rank-1 lattices and higher-order exponential splitting for the time-dependent Schrödinger equation. (English) Zbl 07240110 Tuffin, Bruno (ed.) et al., Monte Carlo and quasi-Monte Carlo methods. MCQMC 2018. Proceedings of the 13th international conference on Monte Carlo and quasi-Monte Carlo methods in scientific computing, Rennes, France, July 1–6, 2018. Cham: Springer. Springer Proc. Math. Stat. 324, 485-502 (2020). MSC: 65C05 PDFBibTeX XMLCite \textit{Y. Suzuki} and \textit{D. Nuyens}, Springer Proc. Math. Stat. 324, 485--502 (2020; Zbl 07240110) Full Text: DOI arXiv
Shapoval, Olga; Vay, Jean-Luc; Vincenti, Henri Two-step perfectly matched layer for arbitrary-order pseudo-spectral analytical time-domain methods. (English) Zbl 07682891 Comput. Phys. Commun. 235, 102-110 (2019). MSC: 78-XX 65-XX PDFBibTeX XMLCite \textit{O. Shapoval} et al., Comput. Phys. Commun. 235, 102--110 (2019; Zbl 07682891) Full Text: DOI
Kallala, Haithem; Vay, Jean-Luc; Vincenti, Henri A generalized massively parallel ultra-high order FFT-based Maxwell solver. (English) Zbl 07674828 Comput. Phys. Commun. 244, 25-34 (2019). MSC: 82-XX 76-XX PDFBibTeX XMLCite \textit{H. Kallala} et al., Comput. Phys. Commun. 244, 25--34 (2019; Zbl 07674828) Full Text: DOI arXiv
Muslu, Gulcin M.; Borluk, Handan Numerical solution for a general class of nonlocal nonlinear wave equations arising in elasticity. (English) Zbl 07776769 ZAMM, Z. Angew. Math. Mech. 97, No. 12, 1600-1610 (2017). MSC: 65M70 35C07 PDFBibTeX XMLCite \textit{G. M. Muslu} and \textit{H. Borluk}, ZAMM, Z. Angew. Math. Mech. 97, No. 12, 1600--1610 (2017; Zbl 07776769) Full Text: DOI arXiv