Revuelta, F.; Arranz, F. J.; Benito, R. M.; Borondo, F. Unraveling the highly nonlinear dynamics of KCN molecular system using Lagrangian descriptors. (English) Zbl 1523.81214 Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107265, 14 p. (2023). MSC: 81V55 70J10 37D10 70H03 37D45 70M20 14J25 35B38 PDFBibTeX XMLCite \textit{F. Revuelta} et al., Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107265, 14 p. (2023; Zbl 1523.81214) Full Text: DOI
Singh, Jagadish; Okpanachi, Omale Solomon A comparative study on generalized Manev potential and Newtonian potential in perturbed restricted four-body problem. (English) Zbl 1524.35629 Appl. Math., Ser. B (Engl. Ed.) 38, No. 1, 44-57 (2023). MSC: 35Q70 PDFBibTeX XMLCite \textit{J. Singh} and \textit{O. S. Okpanachi}, Appl. Math., Ser. B (Engl. Ed.) 38, No. 1, 44--57 (2023; Zbl 1524.35629) Full Text: DOI
Popandopulo, N. A.; Aleksandrova, A. G.; Bordovitsyna, T. V. To the substantiation of a numerical-analytical method for revealing secular resonances. (English. Russian original) Zbl 07668488 Russ. Phys. J. 65, No. 6, 959-965 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 6, 47-52 (2022). MSC: 81P68 35B34 70M20 85A15 14B05 PDFBibTeX XMLCite \textit{N. A. Popandopulo} et al., Russ. Phys. J. 65, No. 6, 959--965 (2022; Zbl 07668488); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 6, 47--52 (2022) Full Text: DOI
Kotoulas, Thomas A nonlinear PDE for families of orbits on a given surface. (English) Zbl 1497.35020 J. Nonlinear Math. Phys. 29, No. 3, 601-625 (2022). MSC: 35A30 70G45 PDFBibTeX XMLCite \textit{T. Kotoulas}, J. Nonlinear Math. Phys. 29, No. 3, 601--625 (2022; Zbl 1497.35020) Full Text: DOI
Chin, Siu A.; Cator, Durward The anatomy of Boris type solvers and the Lie operator formalism for deriving large time-step magnetic field integrators. (English) Zbl 07561096 J. Comput. Phys. 466, Article ID 111422, 18 p. (2022). MSC: 65Mxx 70Hxx 35Qxx PDFBibTeX XMLCite \textit{S. A. Chin} and \textit{D. Cator}, J. Comput. Phys. 466, Article ID 111422, 18 p. (2022; Zbl 07561096) Full Text: DOI arXiv
Passarotto, Mauro; Pitassi, Silvano; Specogna, Ruben Foundations of volume integral methods for eddy current problems. (English) Zbl 1507.78023 Comput. Methods Appl. Mech. Eng. 392, Article ID 114626, 37 p. (2022). MSC: 78M10 35Q61 45E99 65R20 PDFBibTeX XMLCite \textit{M. Passarotto} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114626, 37 p. (2022; Zbl 1507.78023) Full Text: DOI
Sales, Matheus R.; Mugnaine, Michele; Viana, Ricardo L.; Caldas, Iberê L.; Szezech, José D. Unpredictability in Hamiltonian systems with a hierarchical phase space. (English) Zbl 1486.81120 Phys. Lett., A 431, Article ID 127991, 7 p. (2022). MSC: 81Q50 70H05 35G20 70M20 90C70 PDFBibTeX XMLCite \textit{M. R. Sales} et al., Phys. Lett., A 431, Article ID 127991, 7 p. (2022; Zbl 1486.81120) Full Text: DOI
Danesi, Veronica; Sansottera, Marco; Paleari, Simone; Penati, Tiziano Continuation of spatially localized periodic solutions in discrete NLS lattices via normal forms. (English) Zbl 1491.37063 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106266, 23 p. (2022). MSC: 37K60 37K55 35Q55 PDFBibTeX XMLCite \textit{V. Danesi} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106266, 23 p. (2022; Zbl 1491.37063) Full Text: DOI arXiv
Burgos, J. M.; Maderna, E. Geodesic rays of the \(N\)-body problem. (English) Zbl 1507.70019 Arch. Ration. Mech. Anal. 243, No. 2, 807-827 (2022). MSC: 70F10 70G45 35F21 PDFBibTeX XMLCite \textit{J. M. Burgos} and \textit{E. Maderna}, Arch. Ration. Mech. Anal. 243, No. 2, 807--827 (2022; Zbl 1507.70019) Full Text: DOI arXiv
Hochbruck, Marlis (ed.); Lubich, Christian (ed.); McLachlan, Robert (ed.); Sanz-Serna, Jesús María (ed.) Geometric numerical integration. Abstracts from the workshop held March 28 – April 3, 2021 (hybrid meeting). (English) Zbl 1506.00081 Oberwolfach Rep. 18, No. 2, 943-999 (2021). MSC: 00B05 00B25 65-06 65D30 34-06 35-06 PDFBibTeX XMLCite \textit{M. Hochbruck} (ed.) et al., Oberwolfach Rep. 18, No. 2, 943--999 (2021; Zbl 1506.00081) Full Text: DOI
Zheng, Nanyi; Cai, Xiaofeng; Qiu, Jing-Mei; Qiu, Jianxian A conservative semi-Lagrangian hybrid Hermite WENO scheme for linear transport equations and the nonlinear Vlasov-Poisson system. (English) Zbl 1512.65188 SIAM J. Sci. Comput. 43, No. 5, A3580-A3606 (2021). MSC: 65M06 35L65 65M12 35Q83 35Q49 PDFBibTeX XMLCite \textit{N. Zheng} et al., SIAM J. Sci. Comput. 43, No. 5, A3580--A3606 (2021; Zbl 1512.65188) Full Text: DOI
Zhao, Xiaofei Numerical integrators for continuous disordered nonlinear Schrödinger equation. (English) Zbl 1482.35222 J. Sci. Comput. 89, No. 2, Paper No. 40, 27 p. (2021). MSC: 35Q55 35Q41 35B65 65L20 65L70 65M06 65M12 65M15 65T50 65P10 60H40 82C44 35R60 PDFBibTeX XMLCite \textit{X. Zhao}, J. Sci. Comput. 89, No. 2, Paper No. 40, 27 p. (2021; Zbl 1482.35222) Full Text: DOI arXiv
Fernandes, A. C.; Vidal, Claudio Stacked central configurations in the 5-vortex problem. (English) Zbl 1473.76012 J. Nonlinear Sci. 31, No. 5, Paper No. 83, 22 p. (2021). MSC: 76B47 35Q31 PDFBibTeX XMLCite \textit{A. C. Fernandes} and \textit{C. Vidal}, J. Nonlinear Sci. 31, No. 5, Paper No. 83, 22 p. (2021; Zbl 1473.76012) Full Text: DOI
Hassan, Muhammad; Stamm, Benjamin An integral equation formulation of the \(N\)-body dielectric spheres problem. I: Numerical analysis. (English) Zbl 1491.65170 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 65-102 (2021). MSC: 65R20 45E10 45P05 65N35 65N30 65N12 65N15 35B45 PDFBibTeX XMLCite \textit{M. Hassan} and \textit{B. Stamm}, ESAIM, Math. Model. Numer. Anal. 55, 65--102 (2021; Zbl 1491.65170) Full Text: DOI arXiv
Kappeler, Thomas; Montalto, Riccardo On the stability of periodic multi-solitons of the KdV equation. (English) Zbl 1475.35304 Commun. Math. Phys. 385, No. 3, 1871-1956 (2021). MSC: 35Q53 35C08 35B35 35B09 37K10 PDFBibTeX XMLCite \textit{T. Kappeler} and \textit{R. Montalto}, Commun. Math. Phys. 385, No. 3, 1871--1956 (2021; Zbl 1475.35304) Full Text: DOI arXiv
Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo Large KAM tori for quasi-linear perturbations of KdV. (English) Zbl 1462.35329 Arch. Ration. Mech. Anal. 239, No. 3, 1395-1500 (2021). MSC: 35Q53 35C08 35B25 35B09 37K10 35R09 PDFBibTeX XMLCite \textit{M. Berti} et al., Arch. Ration. Mech. Anal. 239, No. 3, 1395--1500 (2021; Zbl 1462.35329) Full Text: DOI arXiv
Akinyemi, Lanre; Şenol, Mehmet; Iyiola, Olaniyi S. Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method. (English) Zbl 1524.35672 Math. Comput. Simul. 182, 211-233 (2021). MSC: 35R11 35Q35 35Q53 PDFBibTeX XMLCite \textit{L. Akinyemi} et al., Math. Comput. Simul. 182, 211--233 (2021; Zbl 1524.35672) Full Text: DOI
Contopoulos, George A review of the “Third” integral. (English) Zbl 1495.83007 Math. Eng. (Springfield) 2, No. 3, 472-511 (2020). MSC: 83C10 83F05 70M20 35B34 83C55 76N30 35Q55 81Q50 74H65 PDFBibTeX XMLCite \textit{G. Contopoulos}, Math. Eng. (Springfield) 2, No. 3, 472--511 (2020; Zbl 1495.83007) Full Text: DOI
Iskenderoglu, Gulistan; Kaya, Dogan Symmetry analysis of initial and boundary value problems for fractional differential equations in Caputo sense. (English) Zbl 1483.35319 Chaos Solitons Fractals 134, Article ID 109684, 7 p. (2020). MSC: 35R11 26A33 35B06 PDFBibTeX XMLCite \textit{G. Iskenderoglu} and \textit{D. Kaya}, Chaos Solitons Fractals 134, Article ID 109684, 7 p. (2020; Zbl 1483.35319) Full Text: DOI arXiv
Blanes, Sergio; Gradinaru, Vasile High order efficient splittings for the semiclassical time-dependent Schrödinger equation. (English) Zbl 1453.81030 J. Comput. Phys. 405, Article ID 109157, 13 p. (2020). MSC: 81Q20 65M15 65Y20 35Q41 PDFBibTeX XMLCite \textit{S. Blanes} and \textit{V. Gradinaru}, J. Comput. Phys. 405, Article ID 109157, 13 p. (2020; Zbl 1453.81030) Full Text: DOI
Burby, J. W.; Klotz, T. J. INVITED: Slow manifold reduction for plasma science. (English) Zbl 1451.82052 Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105289, 61 p. (2020). MSC: 82D10 82C40 35Q83 76Y05 83A05 65L80 PDFBibTeX XMLCite \textit{J. W. Burby} and \textit{T. J. Klotz}, Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105289, 61 p. (2020; Zbl 1451.82052) Full Text: DOI arXiv
Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel Global, local and dense non-mixing of the 3D Euler equation. (English) Zbl 1451.35122 Arch. Ration. Mech. Anal. 238, No. 3, 1087-1112 (2020). MSC: 35Q31 35B35 35B40 PDFBibTeX XMLCite \textit{B. Khesin} et al., Arch. Ration. Mech. Anal. 238, No. 3, 1087--1112 (2020; Zbl 1451.35122) Full Text: DOI arXiv
Akinyemi, Lanre A fractional analysis of Noyes-Field model for the nonlinear Belousov-Zhabotinsky reaction. (English) Zbl 1463.35480 Comput. Appl. Math. 39, No. 3, Paper No. 175, 34 p. (2020). MSC: 35Q92 35R11 PDFBibTeX XMLCite \textit{L. Akinyemi}, Comput. Appl. Math. 39, No. 3, Paper No. 175, 34 p. (2020; Zbl 1463.35480) Full Text: DOI
Dinvay, Evgueni Well-posedness for a Whitham-Boussinesq system with surface tension. (English) Zbl 1440.35266 Math. Phys. Anal. Geom. 23, No. 2, Paper No. 23, 27 p. (2020). MSC: 35Q35 35Q53 35A01 35A02 35B45 76B15 PDFBibTeX XMLCite \textit{E. Dinvay}, Math. Phys. Anal. Geom. 23, No. 2, Paper No. 23, 27 p. (2020; Zbl 1440.35266) Full Text: DOI arXiv
Danieli, Carlo; Manda, Bertin Many; Mithun, Thudiyangal; Skokos, Charalampos Computational efficiency of numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two spatial dimensions. (English) Zbl 1435.82050 Math. Eng. (Springfield) 1, No. 3, 447-488 (2019). MSC: 82M37 65P10 81V70 82B44 65L06 65K10 35Q55 34D08 PDFBibTeX XMLCite \textit{C. Danieli} et al., Math. Eng. (Springfield) 1, No. 3, 447--488 (2019; Zbl 1435.82050) Full Text: DOI arXiv
Escobar-Ruiz, M. A.; Miller, Willard jun.; Turbiner, Alexander V. Four-body problem in \(d\)-dimensional space: ground state, (quasi)-exact-solvability. IV. (English) Zbl 1416.81083 J. Math. Phys. 60, No. 6, 062101, 24 p. (2019). MSC: 81R12 81Q10 70F10 81Q35 17B63 35P05 81Q80 PDFBibTeX XMLCite \textit{M. A. Escobar-Ruiz} et al., J. Math. Phys. 60, No. 6, 062101, 24 p. (2019; Zbl 1416.81083) Full Text: DOI arXiv
Balázs, István; van den Berg, Jan Bouwe; Courtois, Julien; Dudás, János; Lessard, Jean-Philippe; Vörös-Kiss, Anett; Williams, J. F.; Yin, Xi Yuan Computer-assisted proofs for radially symmetric solutions of PDEs. (English) Zbl 1409.35017 J. Comput. Dyn. 5, No. 1-2, 61-80 (2018). MSC: 35A35 41A58 65M99 65G20 65G40 35K57 58C15 35J61 PDFBibTeX XMLCite \textit{I. Balázs} et al., J. Comput. Dyn. 5, No. 1--2, 61--80 (2018; Zbl 1409.35017) Full Text: DOI
Campos, Rafael G. A fractional partial differential equation for theta functions. (English) Zbl 1406.35460 Greuel, Gert-Martin (ed.) et al., Singularities, algebraic geometry, commutative algebra, and related topics. Festschrift for Antonio Campillo on the occasion of his 65th birthday, University of Valladolid, Spain, June 19–23, 2017. Cham: Springer (ISBN 978-3-319-96826-1/hbk; 978-3-319-96827-8/ebook). 579-591 (2018). MSC: 35R11 33E05 14K25 42A15 65T50 PDFBibTeX XMLCite \textit{R. G. Campos}, in: Singularities, algebraic geometry, commutative algebra, and related topics. Festschrift for Antonio Campillo on the occasion of his 65th birthday, University of Valladolid, Spain, June 19--23, 2017. Cham: Springer. 579--591 (2018; Zbl 1406.35460) Full Text: DOI
Liu, Rongchang; Li, Jiangyuan; Yan, Duokui New periodic orbits in the planar equal-mass three-body problem. (English) Zbl 1439.70017 Discrete Contin. Dyn. Syst. 38, No. 4, 2187-2206 (2018). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F10 35A15 PDFBibTeX XMLCite \textit{R. Liu} et al., Discrete Contin. Dyn. Syst. 38, No. 4, 2187--2206 (2018; Zbl 1439.70017) Full Text: DOI
Seydaoğlu, Muaz An accurate approximation algorithm for Burgers’ equation in the presence of small viscosity. (English) Zbl 1464.65092 J. Comput. Appl. Math. 344, 473-481 (2018). MSC: 65M06 65M12 35Q53 PDFBibTeX XMLCite \textit{M. Seydaoğlu}, J. Comput. Appl. Math. 344, 473--481 (2018; Zbl 1464.65092) Full Text: DOI
Celletti, Alessandra; Paita, Fabrizio; Pucacco, Giuseppe The dynamics of the de Sitter resonance. (English) Zbl 1447.70014 Celest. Mech. Dyn. Astron. 130, No. 2, Paper No. 15, 15 p. (2018). MSC: 70F15 35B34 35B35 37J40 37N05 PDFBibTeX XMLCite \textit{A. Celletti} et al., Celest. Mech. Dyn. Astron. 130, No. 2, Paper No. 15, 15 p. (2018; Zbl 1447.70014) Full Text: DOI arXiv
Zhou, Qinglong; Long, Yiming Maslov-type indices and linear stability of elliptic Euler solutions of the three-body problem. (English) Zbl 1382.35293 Arch. Ration. Mech. Anal. 226, No. 3, 1249-1301 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q70 70F07 35B35 53D12 PDFBibTeX XMLCite \textit{Q. Zhou} and \textit{Y. Long}, Arch. Ration. Mech. Anal. 226, No. 3, 1249--1301 (2017; Zbl 1382.35293) Full Text: DOI arXiv
Battista, Emmanuele; Esposito, Giampiero; Di Fiore, Luciano; Dell’Agnello, Simone; Simo, Jules; Grado, Aniello On solar system dynamics in general relativity. (English) Zbl 1375.83011 Int. J. Geom. Methods Mod. Phys. 14, No. 9, Article ID 1750117, 39 p. (2017). MSC: 83C10 53Z05 35Q75 70F15 85A05 83C47 83C25 PDFBibTeX XMLCite \textit{E. Battista} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 9, Article ID 1750117, 39 p. (2017; Zbl 1375.83011) Full Text: DOI arXiv
Pandey, Rishi Kumar; Mishra, Hradyesh Kumar Homotopy analysis Sumudu transform method for time-fractional third order dispersive partial differential equation. (English) Zbl 1482.65202 Adv. Comput. Math. 43, No. 2, 365-383 (2017). MSC: 65M99 35R11 PDFBibTeX XMLCite \textit{R. K. Pandey} and \textit{H. K. Mishra}, Adv. Comput. Math. 43, No. 2, 365--383 (2017; Zbl 1482.65202) Full Text: DOI
Xue, Changfeng; Deng, Shaozhong Unified construction of Green’s functions for Poisson’s equation in inhomogeneous media with diffuse interfaces. (English) Zbl 1457.78005 J. Comput. Appl. Math. 326, 296-319 (2017). MSC: 78A30 65N80 35J05 PDFBibTeX XMLCite \textit{C. Xue} and \textit{S. Deng}, J. Comput. Appl. Math. 326, 296--319 (2017; Zbl 1457.78005) Full Text: DOI
Li, Jibin Exact solutions in the invariant manifolds of the generalized integrable Hénon-Heiles system and exact traveling wave solutions of Klein-Gordon-Schrödinger equations. (English) Zbl 1358.34004 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 1, Article ID 1750012, 19 p. (2017). MSC: 34A05 37J35 35C07 34C45 34C25 PDFBibTeX XMLCite \textit{J. Li}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 1, Article ID 1750012, 19 p. (2017; Zbl 1358.34004) Full Text: DOI
Castelli, Roberto Topologically distinct collision-free periodic solutions for the \({N}\)-center problem. (English) Zbl 1359.35189 Arch. Ration. Mech. Anal. 223, No. 2, 941-975 (2017). MSC: 35Q70 70F10 35B10 35A15 PDFBibTeX XMLCite \textit{R. Castelli}, Arch. Ration. Mech. Anal. 223, No. 2, 941--975 (2017; Zbl 1359.35189) Full Text: DOI
Bokanowski, Olivier; Simarmata, Giorevinus Semi-Lagrangian discontinuous Galerkin schemes for some first- and second-order partial differential equations. (English) Zbl 1357.65171 ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1699-1730 (2016). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 65M12 65M15 65M25 35L02 35K05 PDFBibTeX XMLCite \textit{O. Bokanowski} and \textit{G. Simarmata}, ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1699--1730 (2016; Zbl 1357.65171) Full Text: DOI arXiv
Ganghoffer, Jean-François; Rahouadj, Rachid On the generalized virial theorem for systems with variable mass. (English) Zbl 1348.74120 Contin. Mech. Thermodyn. 28, No. 1-2, 443-463 (2016). MSC: 74G50 35Q74 PDFBibTeX XMLCite \textit{J.-F. Ganghoffer} and \textit{R. Rahouadj}, Contin. Mech. Thermodyn. 28, No. 1--2, 443--463 (2016; Zbl 1348.74120) Full Text: DOI
Christov, Ognyan Non-integrability of the Karabut system. (English) Zbl 1382.35210 Nonlinear Anal., Real World Appl. 32, 91-97 (2016). MSC: 35Q35 35C08 PDFBibTeX XMLCite \textit{O. Christov}, Nonlinear Anal., Real World Appl. 32, 91--97 (2016; Zbl 1382.35210) Full Text: DOI
Tsiganov, A. V. On auto and hetero Bäcklund transformations for the Hénon-Heiles systems. (English) Zbl 1349.37072 Phys. Lett., A 379, No. 45-46, 2903-2907 (2015). MSC: 37K35 35A22 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Phys. Lett., A 379, No. 45--46, 2903--2907 (2015; Zbl 1349.37072) Full Text: DOI
Xu, Fei; Gao, Yixian; Zhang, Weipeng Construction of analytic solution for time-fractional Boussinesq equation using iterative method. (English) Zbl 1375.35617 Adv. Math. Phys. 2015, Article ID 506140, 7 p. (2015). MSC: 35R11 35C05 35C10 39B12 PDFBibTeX XMLCite \textit{F. Xu} et al., Adv. Math. Phys. 2015, Article ID 506140, 7 p. (2015; Zbl 1375.35617) Full Text: DOI
Garcia, F.; Sánchez, J.; Dormy, E.; Net, M. Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions. (English) Zbl 1330.35457 SIAM J. Appl. Dyn. Syst. 14, No. 4, 1787-1807 (2015). Reviewer: Piotr Biler (Wroclaw) MSC: 35Q86 37N10 76E06 76U05 76M99 37G35 PDFBibTeX XMLCite \textit{F. Garcia} et al., SIAM J. Appl. Dyn. Syst. 14, No. 4, 1787--1807 (2015; Zbl 1330.35457) Full Text: DOI
Haussermann, John; Van Gorder, Robert A. Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations. (English) Zbl 1326.65171 Numer. Algorithms 70, No. 2, 227-248 (2015). MSC: 65N99 35J60 65N12 65N15 PDFBibTeX XMLCite \textit{J. Haussermann} and \textit{R. A. Van Gorder}, Numer. Algorithms 70, No. 2, 227--248 (2015; Zbl 1326.65171) Full Text: DOI
Conway, John Analytical solution from vector potentials for the gravitational field of a general polyhedron. (English) Zbl 1314.70012 Celest. Mech. Dyn. Astron. 121, No. 1, 17-38 (2015). MSC: 70F15 35J05 70G45 PDFBibTeX XMLCite \textit{J. Conway}, Celest. Mech. Dyn. Astron. 121, No. 1, 17--38 (2015; Zbl 1314.70012) Full Text: DOI
Llibre, Jaume; Valls, Clàudia On the integrability of a three-dimensional cored galactic Hamiltonian. (English) Zbl 1318.35131 Appl. Math. Lett. 41, 23-27 (2015). MSC: 35Q85 85A05 PDFBibTeX XMLCite \textit{J. Llibre} and \textit{C. Valls}, Appl. Math. Lett. 41, 23--27 (2015; Zbl 1318.35131) Full Text: DOI
Doha, Eid H.; Bhrawy, Ali H.; Hafez, Ramy M.; Van Gorder, Robert A. Jacobi rational-Gauss collocation method for Lane-Emden equations of astrophysical significance. (English) Zbl 1423.85007 Nonlinear Anal., Model. Control 19, No. 4, 537-550 (2014). MSC: 85A15 35Q85 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Nonlinear Anal., Model. Control 19, No. 4, 537--550 (2014; Zbl 1423.85007) Full Text: DOI
Priimak, Dmitri Finite difference numerical method for the superlattice Boltzmann transport equation and case comparison of CPU(C) and GPU(CUDA) implementations. (English) Zbl 1349.82106 J. Comput. Phys. 278, 182-192 (2014). MSC: 82C80 65M06 35Q20 65-04 65Y10 82C10 PDFBibTeX XMLCite \textit{D. Priimak}, J. Comput. Phys. 278, 182--192 (2014; Zbl 1349.82106) Full Text: DOI arXiv
Skokos, Ch.; Gerlach, E.; Bodyfelt, J. D.; Papamikos, G.; Eggl, S. High order three part split symplectic integrators: Efficient techniques for the long time simulation of the disordered discrete nonlinear Schrödinger equation. (English) Zbl 1342.65233 Phys. Lett., A 378, No. 26-27, 1809-1815 (2014). MSC: 65P10 37M15 35Q55 39A14 37M05 PDFBibTeX XMLCite \textit{Ch. Skokos} et al., Phys. Lett., A 378, No. 26--27, 1809--1815 (2014; Zbl 1342.65233) Full Text: DOI arXiv
Borisov, Alexey V.; Kudryashov, Nikolay A. Paul Painlevé and his contribution to science. (English) Zbl 1333.01025 Regul. Chaotic Dyn. 19, No. 1, 1-19 (2014). Reviewer: Horst-Heino von Borzeszkowski (Berlin) MSC: 01A70 01A55 01A60 35-03 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{N. A. Kudryashov}, Regul. Chaotic Dyn. 19, No. 1, 1--19 (2014; Zbl 1333.01025) Full Text: DOI
Chin, Siu A. Understanding Saul’yev-type unconditionally stable schemes from exponential splitting. (English) Zbl 1311.65120 Numer. Methods Partial Differ. Equations 30, No. 6, 1961-1983 (2014). MSC: 65M20 35K05 65M06 35L02 PDFBibTeX XMLCite \textit{S. A. Chin}, Numer. Methods Partial Differ. Equations 30, No. 6, 1961--1983 (2014; Zbl 1311.65120) Full Text: DOI
Takahashi, Yu; Scheeres, D. J. Small body surface gravity fields via spherical harmonic expansions. (English) Zbl 1298.70019 Celest. Mech. Dyn. Astron. 119, No. 2, 169-206 (2014). MSC: 70F15 33C10 33C55 35J05 70F10 PDFBibTeX XMLCite \textit{Y. Takahashi} and \textit{D. J. Scheeres}, Celest. Mech. Dyn. Astron. 119, No. 2, 169--206 (2014; Zbl 1298.70019) Full Text: DOI
Mi, Lufang; Lu, Shouxia; Cong, Hongzi Existence of 3-dimensional tori for 1D complex Ginzburg-Landau equation via a degenerate KAM theorem. (English) Zbl 1294.35152 J. Dyn. Differ. Equations 26, No. 1, 21-56 (2014). MSC: 35Q56 37K55 PDFBibTeX XMLCite \textit{L. Mi} et al., J. Dyn. Differ. Equations 26, No. 1, 21--56 (2014; Zbl 1294.35152) Full Text: DOI
Zschocke, Sven A detailed proof of the fundamental theorem of STF multipole expansion in linearized gravity. (English) Zbl 1284.83025 Int. J. Mod. Phys. D 23, No. 1, Article ID 1450003, 28 p. (2014). MSC: 83C05 83C35 35Q75 PDFBibTeX XMLCite \textit{S. Zschocke}, Int. J. Mod. Phys. D 23, No. 1, Article ID 1450003, 28 p. (2014; Zbl 1284.83025) Full Text: DOI arXiv
Maciejewski, Andrzej J.; Przybylska, Maria; Simpson, Leon; Szumiński, Wojciech Non-integrability of the dumbbell and point mass problem. (English) Zbl 1293.70048 Celest. Mech. Dyn. Astron. 117, No. 3, 315-330 (2013). MSC: 70F07 35J30 PDFBibTeX XMLCite \textit{A. J. Maciejewski} et al., Celest. Mech. Dyn. Astron. 117, No. 3, 315--330 (2013; Zbl 1293.70048) Full Text: DOI arXiv
Laptyeva, T. V.; Bodyfelt, J. D.; Flach, S. Do nonlinear waves in random media follow nonlinear diffusion equations? (English) Zbl 1291.35353 Physica D 256-257, 1-6 (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 82B20 82B44 35K55 PDFBibTeX XMLCite \textit{T. V. Laptyeva} et al., Physica D 256--257, 1--6 (2013; Zbl 1291.35353) Full Text: DOI arXiv
Van Gorder, Robert A. Control of error in the homotopy analysis of semi-linear elliptic boundary value problems. (English) Zbl 1257.65063 Numer. Algorithms 61, No. 4, 613-629 (2012). MSC: 65N15 35J61 65N99 65N12 PDFBibTeX XMLCite \textit{R. A. Van Gorder}, Numer. Algorithms 61, No. 4, 613--629 (2012; Zbl 1257.65063) Full Text: DOI
Vacaru, Sergiu I. Fractional dynamics from Einstein gravity, general solutions, and black holes. (English) Zbl 1252.83087 Int. J. Theor. Phys. 51, No. 5, 1338-1359 (2012). MSC: 83D05 83C57 35R11 83C75 53B40 PDFBibTeX XMLCite \textit{S. I. Vacaru}, Int. J. Theor. Phys. 51, No. 5, 1338--1359 (2012; Zbl 1252.83087) Full Text: DOI arXiv
Panayotaros, Panayotis Instabilities of breathers in a finite NLS lattice. (English) Zbl 1247.35150 Physica D 241, No. 8, 847-856 (2012). MSC: 35Q55 35R02 PDFBibTeX XMLCite \textit{P. Panayotaros}, Physica D 241, No. 8, 847--856 (2012; Zbl 1247.35150) Full Text: DOI
Ren, Yuan; Masdemont, Josep J.; Gómez, Gerard; Fantino, Elena Two mechanisms of natural transport in the Solar system. (English) Zbl 1242.85004 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 844-853 (2012). MSC: 85A05 70F07 35Q85 37N20 PDFBibTeX XMLCite \textit{Y. Ren} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 844--853 (2012; Zbl 1242.85004) Full Text: DOI
Li, Yan Nonuniform dependence for the Cauchy problem of the general b-equation. (English) Zbl 1315.35189 J. Math. Phys. 52, No. 3, 033101, 14 p. (2011). MSC: 35Q53 37K10 35G25 PDFBibTeX XMLCite \textit{Y. Li}, J. Math. Phys. 52, No. 3, 033101, 14 p. (2011; Zbl 1315.35189) Full Text: DOI
Panayotounakos, Dimitrios E.; Rizou, Ioanna; Theotokoglou, Efstathios E. A new mathematical construction of the general nonlinear ODEs of motion in rigid body dynamics (Euler’s equations). (English) Zbl 1281.70009 Appl. Math. Comput. 217, No. 21, 8534-8542 (2011). Reviewer: Alexander Mikhailovich Kovalev (Donetsk) MSC: 70E15 35Q70 PDFBibTeX XMLCite \textit{D. E. Panayotounakos} et al., Appl. Math. Comput. 217, No. 21, 8534--8542 (2011; Zbl 1281.70009) Full Text: DOI
Muslih, Sami I. Solutions of a particle with fractional \(\delta \)-potential in a fractional dimensional space. (English) Zbl 1202.83104 Int. J. Theor. Phys. 49, No. 9, 2095-2104 (2010). MSC: 83D05 83C10 37F35 81S10 83C45 81T20 81T17 35R11 PDFBibTeX XMLCite \textit{S. I. Muslih}, Int. J. Theor. Phys. 49, No. 9, 2095--2104 (2010; Zbl 1202.83104) Full Text: DOI arXiv
Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K. On electromagnetic field in fractional space. (English) Zbl 1196.35224 Nonlinear Anal., Real World Appl. 11, No. 1, 288-292 (2010). Reviewer: Vladislav V. Kravchenko (Queretaro) MSC: 35R11 78A25 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Nonlinear Anal., Real World Appl. 11, No. 1, 288--292 (2010; Zbl 1196.35224) Full Text: DOI
Zhao, Xiangqing; Cui, Shangbin On Cauchy problem of the Benney-Lin equation with low regularity initial data. (English) Zbl 1185.35036 Acta Math. Sin., Engl. Ser. 25, No. 12, 2157-2168 (2009). MSC: 35G25 35Q53 35Q35 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{S. Cui}, Acta Math. Sin., Engl. Ser. 25, No. 12, 2157--2168 (2009; Zbl 1185.35036) Full Text: DOI
Huang, Hongying; Liu, Dongjie; Yu, Dehao Solution of exterior problem using ellipsoidal artificial boundary. (English) Zbl 1170.65094 J. Comput. Appl. Math. 231, No. 1, 434-446 (2009). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N30 33E10 35J05 65N15 65N12 PDFBibTeX XMLCite \textit{H. Huang} et al., J. Comput. Appl. Math. 231, No. 1, 434--446 (2009; Zbl 1170.65094) Full Text: DOI
Long, Yiming Collection of problems proposed at International Conference on Variational Methods. (English) Zbl 1147.53002 Front. Math. China 3, No. 2, 259-273 (2008). MSC: 53-02 49-02 00A07 58E05 35A15 34A34 PDFBibTeX XMLCite \textit{Y. Long}, Front. Math. China 3, No. 2, 259--273 (2008; Zbl 1147.53002) Full Text: DOI
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano The quantum harmonic oscillator on the sphere and the hyperbolic plane: \(\kappa\)-dependent formalism, polar coordinates, and hypergeometric functions. (English) Zbl 1152.81363 J. Math. Phys. 48, No. 10, 102106, 13 p. (2007). MSC: 81Q99 81R12 35Q40 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., J. Math. Phys. 48, No. 10, 102106, 13 p. (2007; Zbl 1152.81363) Full Text: DOI arXiv
Yu, Sining; Zhao, Shan; Wei, G. W. Local spectral time splitting method for first- and second-order partial differential equations. (English) Zbl 1075.65130 J. Comput. Phys. 206, No. 2, 727-780 (2005). Reviewer: Vit Dolejsi (Praha) MSC: 65M70 35K15 35Q40 81Q05 65T60 65M12 PDFBibTeX XMLCite \textit{S. Yu} et al., J. Comput. Phys. 206, No. 2, 727--780 (2005; Zbl 1075.65130) Full Text: DOI
Hirota, Chiaki; Ide, Takanori; Fokuoka, Nobuyuki; Okada, Masami Generalized energy integrals and energy conserving numerical schemes for partial differential equations. (English) Zbl 1064.65094 Japan J. Ind. Appl. Math. 21, No. 2, 163-179 (2004). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65M06 35L60 PDFBibTeX XMLCite \textit{C. Hirota} et al., Japan J. Ind. Appl. Math. 21, No. 2, 163--179 (2004; Zbl 1064.65094) Full Text: DOI
Lee, Jongwoo; Fornberg, Bengt A split step approach for the 3-D Maxwell’s equations. (English) Zbl 1029.65094 J. Comput. Appl. Math. 158, No. 2, 485-505 (2003). MSC: 65M06 35Q60 78A25 78M20 65M12 35L70 PDFBibTeX XMLCite \textit{J. Lee} and \textit{B. Fornberg}, J. Comput. Appl. Math. 158, No. 2, 485--505 (2003; Zbl 1029.65094) Full Text: DOI
Shagalov, A. G. Symplectic numerical methods in dynamics of nonlinear waves. (English) Zbl 0945.65141 Int. J. Mod. Phys. C 10, No. 5, 967-980 (1999). MSC: 65P10 37K40 37K45 35Q51 65M70 35Q55 37M15 PDFBibTeX XMLCite \textit{A. G. Shagalov}, Int. J. Mod. Phys. C 10, No. 5, 967--980 (1999; Zbl 0945.65141) Full Text: DOI
Shchepetilov, A. V. Quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces. (English. Russian original) Zbl 0966.81013 Theor. Math. Phys. 118, No. 2, 197-208 (1999); translation from Teor. Mat. Fiz. 118, No. 2, 248-263 (1999). MSC: 81Q10 81Q05 35Q40 47N50 81U05 PDFBibTeX XMLCite \textit{A. V. Shchepetilov}, Theor. Math. Phys. 118, No. 2, 197--208 (1999; Zbl 0966.81013); translation from Teor. Mat. Fiz. 118, No. 2, 248--263 (1999) Full Text: DOI
Bruno, A. D. Newton polyhedra and power transformations. (English) Zbl 1017.34500 Math. Comput. Simul. 45, No. 5-6, 429-443 (1998). MSC: 34C20 34A45 34E05 35A30 65L99 PDFBibTeX XMLCite \textit{A. D. Bruno}, Math. Comput. Simul. 45, No. 5--6, 429--443 (1998; Zbl 1017.34500) Full Text: DOI
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Esteban, Maria J. Nonsymmetric ground states of symmetric variational problems. (English) Zbl 0826.49002 Commun. Pure Appl. Math. 44, No. 2, 259-274 (1991). MSC: 49J20 35J60 PDFBibTeX XMLCite \textit{M. J. Esteban}, Commun. Pure Appl. Math. 44, No. 2, 259--274 (1991; Zbl 0826.49002) Full Text: DOI