Garcia, F.; Ogbonna, J.; Giesecke, A.; Stefani, F. High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows. (English) Zbl 1516.76030 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107030, 23 p. (2023). MSC: 76E25 76W05 76M99 76M20 PDFBibTeX XMLCite \textit{F. Garcia} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107030, 23 p. (2023; Zbl 1516.76030) Full Text: DOI
Han, Che; Wang, Yu-Lan; Li, Zhi-Yuan Numerical solutions of space fractional variable-coefficient KdV-modified KdV equation by Fourier spectral method. (English) Zbl 1506.35199 Fractals 29, No. 8, Article ID 2150246, 19 p. (2021). MSC: 35Q53 35C08 37K40 65M70 26A33 35R11 PDFBibTeX XMLCite \textit{C. Han} et al., Fractals 29, No. 8, Article ID 2150246, 19 p. (2021; Zbl 1506.35199) Full Text: DOI
Bona, Jerry L.; Durán, Angel; Mitsotakis, Dimitrios Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I: Approximations. (English) Zbl 1460.76146 Discrete Contin. Dyn. Syst. 41, No. 1, 87-111 (2021). MSC: 76B55 76B25 76M22 65M70 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Discrete Contin. Dyn. Syst. 41, No. 1, 87--111 (2021; Zbl 1460.76146) Full Text: DOI
Lorin, E. A parallel algorithm for space-time-fractional partial differential equations. (English) Zbl 1482.65196 Adv. Difference Equ. 2020, Paper No. 283, 21 p. (2020). MSC: 65M70 65Y05 65M06 35R11 26A33 PDFBibTeX XMLCite \textit{E. Lorin}, Adv. Difference Equ. 2020, Paper No. 283, 21 p. (2020; Zbl 1482.65196) Full Text: DOI
Zhou, Hang; Douvenot, Rémi; Chabory, Alexandre Modeling the long-range wave propagation by a split-step wavelet method. (English) Zbl 1453.78016 J. Comput. Phys. 402, Article ID 109042, 12 p. (2020). MSC: 78M22 78A40 PDFBibTeX XMLCite \textit{H. Zhou} et al., J. Comput. Phys. 402, Article ID 109042, 12 p. (2020; Zbl 1453.78016) Full Text: DOI Link
Ma, Suna; Li, Huiyuan; Zhang, Zhimin Novel spectral methods for Schrödinger equations with an inverse square potential on the whole space. (English) Zbl 1416.65481 Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1589-1615 (2019). MSC: 65N35 65N25 35Q40 65N15 33C10 PDFBibTeX XMLCite \textit{S. Ma} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1589--1615 (2019; Zbl 1416.65481) Full Text: DOI
Roberts, Malcolm; Bowman, John C. Multithreaded implicitly dealiased convolutions. (English) Zbl 1380.65458 J. Comput. Phys. 356, 98-114 (2018). MSC: 65T50 65M70 65Y05 PDFBibTeX XMLCite \textit{M. Roberts} and \textit{J. C. Bowman}, J. Comput. Phys. 356, 98--114 (2018; Zbl 1380.65458) Full Text: DOI
Ducrozet, Guillaume; Bonnefoy, Félicien; Le Touzé, David; Ferrant, Pierre HOS-ocean: open-source solver for nonlinear waves in open ocean based on high-order spectral method. (English) Zbl 1380.65469 Comput. Phys. Commun. 203, 245-254 (2016). MSC: 65Y15 65M70 86A05 86-04 PDFBibTeX XMLCite \textit{G. Ducrozet} et al., Comput. Phys. Commun. 203, 245--254 (2016; Zbl 1380.65469) Full Text: DOI HAL
de la Hoz, Francisco; Vadillo, Fernando Numerical simulations of time-dependent partial differential equations. (English) Zbl 1326.65139 J. Comput. Appl. Math. 295, 175-184 (2016). MSC: 65M70 65M20 PDFBibTeX XMLCite \textit{F. de la Hoz} and \textit{F. Vadillo}, J. Comput. Appl. Math. 295, 175--184 (2016; Zbl 1326.65139) Full Text: DOI
Shi, Liang; Rampp, Markus; Hof, Björn; Avila, Marc A hybrid MPI-OpenMP parallel implementation for pseudospectral simulations with application to Taylor-Couette flow. (English) Zbl 1390.76623 Comput. Fluids 106, 1-11 (2015). MSC: 76M20 76M22 65M70 65M06 65Y05 76D05 PDFBibTeX XMLCite \textit{L. Shi} et al., Comput. Fluids 106, 1--11 (2015; Zbl 1390.76623) Full Text: DOI arXiv
Bauke, Heiko; Keitel, Christoph H. Accelerating the Fourier split operator method via graphics processing units. (English) Zbl 1261.65101 Comput. Phys. Commun. 182, No. 12, 2454-2463 (2011). MSC: 65M70 35Q55 35Q40 81Q05 65T50 PDFBibTeX XMLCite \textit{H. Bauke} and \textit{C. H. Keitel}, Comput. Phys. Commun. 182, No. 12, 2454--2463 (2011; Zbl 1261.65101) Full Text: DOI arXiv
Buffat, Marc; Le Penven, Lionel A spectral fictitious domain method with internal forcing for solving elliptic PDEs. (English) Zbl 1218.65143 J. Comput. Phys. 230, No. 7, 2433-2450 (2011). MSC: 65N85 65N35 35J05 65N50 35J40 PDFBibTeX XMLCite \textit{M. Buffat} and \textit{L. Le Penven}, J. Comput. Phys. 230, No. 7, 2433--2450 (2011; Zbl 1218.65143) Full Text: DOI
Bruno, Oscar P.; Lyon, Mark High-order unconditionally stable FC-AD solvers for general smooth domains. I: Basic elements. (English) Zbl 1185.65184 J. Comput. Phys. 229, No. 6, 2009-2033 (2010). MSC: 65M70 35K20 35J05 65M12 65F10 PDFBibTeX XMLCite \textit{O. P. Bruno} and \textit{M. Lyon}, J. Comput. Phys. 229, No. 6, 2009--2033 (2010; Zbl 1185.65184) Full Text: DOI
Beyer, Florian A spectral solver for evolution problems with spatial \(\mathbb S^3\)-topology. (English) Zbl 1175.65114 J. Comput. Phys. 228, No. 17, 6496-6513 (2009). MSC: 65M70 35Q75 83C05 83F05 PDFBibTeX XMLCite \textit{F. Beyer}, J. Comput. Phys. 228, No. 17, 6496--6513 (2009; Zbl 1175.65114) Full Text: DOI arXiv
Nash, Patrick L. A new fourth-order Fourier-Bessel split-step method for the extended nonlinear Schrödinger equation. (English) Zbl 1134.65074 J. Comput. Phys. 227, No. 3, 2073-2082 (2008). MSC: 65M70 PDFBibTeX XMLCite \textit{P. L. Nash}, J. Comput. Phys. 227, No. 3, 2073--2082 (2008; Zbl 1134.65074) Full Text: DOI
Lehtovaara, L.; Toivanen, J.; Eloranta, J. Solution of time-independent Schrödinger equation by the imaginary time propagation method. (English) Zbl 1110.65096 J. Comput. Phys. 221, No. 1, 148-157 (2007). MSC: 65M70 81Q05 35Q55 65Y05 65F15 PDFBibTeX XMLCite \textit{L. Lehtovaara} et al., J. Comput. Phys. 221, No. 1, 148--157 (2007; Zbl 1110.65096) Full Text: DOI
Guo, Jinhua; Taha, Thiab R. Parallel implementation of the split-step and the pseudospectral methods for solving higher KdV equation. (English) Zbl 1016.65071 Math. Comput. Simul. 62, No. 1-2, 41-51 (2003). MSC: 65M70 35Q53 65Y05 65T50 PDFBibTeX XMLCite \textit{J. Guo} and \textit{T. R. Taha}, Math. Comput. Simul. 62, No. 1--2, 41--51 (2003; Zbl 1016.65071) Full Text: DOI
Nielsen, Ida M. B.; Janssen, Curtis L. A novel pseudospectral Fourier method for solving Poisson’s equation for a solute in a non-uniform dielectric. (English) Zbl 0982.65127 Comput. Phys. Commun. 136, No. 1-2, 29-36 (2001). Reviewer: V.Dolejsi (Praha) MSC: 65N35 78A30 35Q60 78M25 35J05 65T50 65N12 PDFBibTeX XMLCite \textit{I. M. B. Nielsen} and \textit{C. L. Janssen}, Comput. Phys. Commun. 136, No. 1--2, 29--36 (2001; Zbl 0982.65127) Full Text: DOI