Lu, Dawei; Wang, Ruoyi Optimizing the coefficients of the Ramanujan expansion. (English) Zbl 07786321 J. Number Theory 257, 146-162 (2024). MSC: 41A60 11K70 41A25 65D20 PDFBibTeX XMLCite \textit{D. Lu} and \textit{R. Wang}, J. Number Theory 257, 146--162 (2024; Zbl 07786321) Full Text: DOI
Bagge, Joar; Tornberg, Anna-Karin Fast Ewald summation for Stokes flow with arbitrary periodicity. (English) Zbl 07748059 J. Comput. Phys. 493, Article ID 112473, 48 p. (2023). MSC: 65Txx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{J. Bagge} and \textit{A.-K. Tornberg}, J. Comput. Phys. 493, Article ID 112473, 48 p. (2023; Zbl 07748059) Full Text: DOI arXiv
Mohanty, R. K. Third (fourth) order accurate two-step super-stable cubic spline polynomial approximation for the second order non-linear initial-value problems. (English) Zbl 07745942 J. Math. Chem. 61, No. 10, 2123-2145 (2023). MSC: 65L07 65L06 65L05 PDFBibTeX XMLCite \textit{R. K. Mohanty}, J. Math. Chem. 61, No. 10, 2123--2145 (2023; Zbl 07745942) Full Text: DOI
Karepova, E. D.; Adaev, I. R.; Shan’ko, Yu. V. Predictor-corrector mode for symmetric multistep methods with non-vanishing interval of periodicity. (English) Zbl 07688815 Lobachevskii J. Math. 44, No. 1, 313-324 (2023). MSC: 65Lxx PDFBibTeX XMLCite \textit{E. D. Karepova} et al., Lobachevskii J. Math. 44, No. 1, 313--324 (2023; Zbl 07688815) Full Text: DOI
Manchanda, Geetan; Khurana, Gunjan; Mohanty, R. K. Super-stable spline-in-tension numerical method of order three(four) for the second order nonlinear IVPs. (English) Zbl 1512.65136 J. Math. Chem. 61, No. 5, 950-974 (2023). MSC: 65L05 65L06 65L07 PDFBibTeX XMLCite \textit{G. Manchanda} et al., J. Math. Chem. 61, No. 5, 950--974 (2023; Zbl 1512.65136) Full Text: DOI
Blanc, Xavier; Le Bris, Claude Homogenization in a periodic medium… or not. An introduction. (Homogénéisation en milieu périodique… ou non. Une introduction.) (French) Zbl 07581840 Mathématiques et Applications 88. Cham: Springer (ISBN 978-3-031-12800-4/pbk; 978-3-031-12801-1/ebook). xviii, 488 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35-02 35B27 35B40 35C20 35R60 49J45 65M60 PDFBibTeX XMLCite \textit{X. Blanc} and \textit{C. Le Bris}, Homogénéisation en milieu périodique{\dots} ou non. Une introduction. Cham: Springer (2022; Zbl 07581840) Full Text: DOI
Jiang, Kai; Si, Wei; Xu, Jie Tilt grain boundaries of hexagonal structures: a spectral viewpoint. (English) Zbl 1497.65244 SIAM J. Appl. Math. 82, No. 4, 1267-1286 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 74E15 74J10 82B24 PDFBibTeX XMLCite \textit{K. Jiang} et al., SIAM J. Appl. Math. 82, No. 4, 1267--1286 (2022; Zbl 1497.65244) Full Text: DOI arXiv
Balcells-Quintana, Oscar; Codony, David; Fernández-Méndez, Sonia C0-IPM with generalised periodicity and application to flexoelectricity-based 2D metamaterials. (English) Zbl 1496.65206 J. Sci. Comput. 92, No. 1, Paper No. 5, 29 p. (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 74B10 74F15 74S05 35Q74 PDFBibTeX XMLCite \textit{O. Balcells-Quintana} et al., J. Sci. Comput. 92, No. 1, Paper No. 5, 29 p. (2022; Zbl 1496.65206) Full Text: DOI
Ayoul-Guilmard, Quentin; Nouy, Anthony; Binetruy, Christophe Tensor-based numerical method for stochastic homogenization. (English) Zbl 1492.65018 Multiscale Model. Simul. 20, No. 1, 36-71 (2022). MSC: 65C30 35B27 15A69 35B15 35R60 65C05 65N30 PDFBibTeX XMLCite \textit{Q. Ayoul-Guilmard} et al., Multiscale Model. Simul. 20, No. 1, 36--71 (2022; Zbl 1492.65018) Full Text: DOI arXiv
Shokri, Ali; Ramos, Higinio; Mehdizadeh Khalsaraei, Mohammad; Aliev, Fikret A.; Bohner, Martin Fourth derivative singularly P-stable method for the numerical solution of the Schrödinger equation. (English) Zbl 1494.65071 Adv. Difference Equ. 2021, Paper No. 506, 16 p. (2021). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{A. Shokri} et al., Adv. Difference Equ. 2021, Paper No. 506, 16 p. (2021; Zbl 1494.65071) Full Text: DOI
Karepova, E. D.; Adaev, I. R.; Shan’ko, Yu. V. The techniques for constructing a family of symmetric multistep methods. (English) Zbl 1472.65087 Lobachevskii J. Math. 42, No. 7, 1675-1685 (2021). MSC: 65L06 65L20 PDFBibTeX XMLCite \textit{E. D. Karepova} et al., Lobachevskii J. Math. 42, No. 7, 1675--1685 (2021; Zbl 1472.65087) Full Text: DOI
Su, Menglong A new continuation method for the periodicity problems of ordinary differential equations. (English) Zbl 1480.65123 Int. J. Numer. Methods Appl. 19, No. 2, 159-166 (2020). MSC: 65H10 65K05 90C25 PDFBibTeX XMLCite \textit{M. Su}, Int. J. Numer. Methods Appl. 19, No. 2, 159--166 (2020; Zbl 1480.65123) Full Text: DOI
Morrow, Zachary; Stoyanov, Miroslav A method for dimensionally adaptive sparse trigonometric interpolation of periodic functions. (English) Zbl 1453.65032 SIAM J. Sci. Comput. 42, No. 4, A2436-A2460 (2020). MSC: 65D05 65D15 65T40 92E10 PDFBibTeX XMLCite \textit{Z. Morrow} and \textit{M. Stoyanov}, SIAM J. Sci. Comput. 42, No. 4, A2436--A2460 (2020; Zbl 1453.65032) Full Text: DOI arXiv
Ibrahim, Oluwasegun M.; Ikhile, Monday N. O. A generalized family of symmetric multistep methods with minimal phase-lag for initial value problems in ordinary differential equations. (English) Zbl 1440.65069 Mediterr. J. Math. 17, No. 3, Paper No. 87, 30 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65L05 65L20 65L06 PDFBibTeX XMLCite \textit{O. M. Ibrahim} and \textit{M. N. O. Ikhile}, Mediterr. J. Math. 17, No. 3, Paper No. 87, 30 p. (2020; Zbl 1440.65069) Full Text: DOI
Ramos, Juliane C.; Rech, Paulo C. Delimitation of hyperchaotic regions in parameter planes of a four-dimensional dynamical system. (English) Zbl 1492.37075 Discontin. Nonlinearity Complex. 8, No. 4, 459-465 (2019). MSC: 37M25 37M05 34C28 65P20 PDFBibTeX XMLCite \textit{J. C. Ramos} and \textit{P. C. Rech}, Discontin. Nonlinearity Complex. 8, No. 4, 459--465 (2019; Zbl 1492.37075) Full Text: DOI
Su, Menglong An entropy continuation method for a class of the periodicity problems of ordinary differential equations. (English) Zbl 1524.34102 Adv. Differ. Equ. Control Process. 21, No. 2, 201-212 (2019). MSC: 34C25 65L10 PDFBibTeX XMLCite \textit{M. Su}, Adv. Differ. Equ. Control Process. 21, No. 2, 201--212 (2019; Zbl 1524.34102) Full Text: DOI
Dai, Liming; Xia, Dandan; Chen, Changping An algorithm for diagnosing nonlinear characteristics of dynamic systems with the integrated periodicity ratio and Lyapunov exponent methods. (English) Zbl 1464.65281 Commun. Nonlinear Sci. Numer. Simul. 73, 92-109 (2019). MSC: 65P20 37M25 PDFBibTeX XMLCite \textit{L. Dai} et al., Commun. Nonlinear Sci. Numer. Simul. 73, 92--109 (2019; Zbl 1464.65281) Full Text: DOI
Folly-Gbetoula, M.; Nyirenda, D. A system of fourth order difference equations. (English) Zbl 07119491 Far East J. Math. Sci. (FJMS) 110, No. 1, 165-197 (2019). MSC: 65-XX PDFBibTeX XMLCite \textit{M. Folly-Gbetoula} and \textit{D. Nyirenda}, Far East J. Math. Sci. (FJMS) 110, No. 1, 165--197 (2019; Zbl 07119491) Full Text: DOI
Felix, I. C.; Okuonghae, R. I. On the generalisation of Padé approximation approach for the construction of \(p\)-stable hybrid linear multistep methods. (English) Zbl 07079011 Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 93, 20 p. (2019). MSC: 65-XX 34-XX PDFBibTeX XMLCite \textit{I. C. Felix} and \textit{R. I. Okuonghae}, Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 93, 20 p. (2019; Zbl 07079011) Full Text: DOI
Chen, Zhaoxia; Shi, Lei; Liu, Siyao; You, Xiong Trigonometrically fitted two-derivative Runge-Kutta-Nyström methods for second-order oscillatory differential equations. (English) Zbl 1477.65110 Appl. Numer. Math. 142, 171-189 (2019). MSC: 65L06 65L05 PDFBibTeX XMLCite \textit{Z. Chen} et al., Appl. Numer. Math. 142, 171--189 (2019; Zbl 1477.65110) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. New multiple stages multistep method with best possible phase properties for second order initial/boundary value problems. (English) Zbl 1414.81083 J. Math. Chem. 57, No. 3, 834-857 (2019). MSC: 81Q05 65L05 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 57, No. 3, 834--857 (2019; Zbl 1414.81083) Full Text: DOI
Takizawa, Kenji; Tezduyar, Tayfun E.; Uchikawa, Hiroaki; Terahara, Takuya; Sasaki, Takafumi; Yoshida, Ayaka Mesh refinement influence and cardiac-cycle flow periodicity in aorta flow analysis with isogeometric discretization. (English) Zbl 1411.76184 Comput. Fluids 179, 790-798 (2019). MSC: 76Z05 65M60 65D07 65M50 92C35 PDFBibTeX XMLCite \textit{K. Takizawa} et al., Comput. Fluids 179, 790--798 (2019; Zbl 1411.76184) Full Text: DOI
Jiang, Kai; Zhang, Pingwen Numerical mathematics of quasicrystals. (English) Zbl 1451.65247 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3591-3609 (2018). MSC: 65Z05 52C23 11K70 11K60 PDFBibTeX XMLCite \textit{K. Jiang} and \textit{P. Zhang}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3591--3609 (2018; Zbl 1451.65247) Full Text: DOI
Felix, I. C.; Okuonghae, R. I. On the construction of \(p\)-stable hybrid multistep methods for second order ODEs. (English) Zbl 1431.65109 Far East J. Appl. Math. 99, No. 3, 259-273 (2018). MSC: 65L06 65L20 PDFBibTeX XMLCite \textit{I. C. Felix} and \textit{R. I. Okuonghae}, Far East J. Appl. Math. 99, No. 3, 259--273 (2018; Zbl 1431.65109) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. New four-stages symmetric six-step method with improved phase properties for second order problems with periodical and/or oscillating solutions. (English) Zbl 1425.65072 J. Math. Chem. 56, No. 10, 2898-2928 (2018). MSC: 65L05 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 10, 2898--2928 (2018; Zbl 1425.65072) Full Text: DOI
Ayoul-Guilmard, Quentin; Nouy, Anthony; Binetruy, Christophe Tensor-based multiscale method for diffusion problems in quasi-periodic heterogeneous media. (English) Zbl 1407.65279 ESAIM, Math. Model. Numer. Anal. 52, No. 3, 869-891 (2018). MSC: 65N30 15A69 35B15 35J15 PDFBibTeX XMLCite \textit{Q. Ayoul-Guilmard} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 3, 869--891 (2018; Zbl 1407.65279) Full Text: DOI arXiv
Alolyan, Ibraheem; Simos, T. E. New three-stages symmetric six-step finite difference method with vanished phase-lag and its derivatives up to sixth derivative for second order initial and/or boundary value problems with periodical and/or oscillating solutions. (English) Zbl 1402.81123 J. Math. Chem. 56, No. 8, 2267-2301 (2018). MSC: 81Q05 81-08 65L06 65L12 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 8, 2267--2301 (2018; Zbl 1402.81123) Full Text: DOI
Tralie, Christopher J.; Perea, Jose A. (Quasi)periodicity quantification in video data, using topology. (English) Zbl 1401.65025 SIAM J. Imaging Sci. 11, No. 2, 1049-1077 (2018). MSC: 65D18 PDFBibTeX XMLCite \textit{C. J. Tralie} and \textit{J. A. Perea}, SIAM J. Imaging Sci. 11, No. 2, 1049--1077 (2018; Zbl 1401.65025) Full Text: DOI arXiv
Cui, Jifeng; Zhang, Wenyu; Liu, Zeng; Sun, Jianglong On the limit cycles, period-doubling, and quasi-periodic solutions of the forced van der Pol-Duffing oscillator. (English) Zbl 1445.65045 Numer. Algorithms 78, No. 4, 1217-1231 (2018). Reviewer: Alois Steindl (Wien) MSC: 65P10 34C46 65L07 34C15 70K42 PDFBibTeX XMLCite \textit{J. Cui} et al., Numer. Algorithms 78, No. 4, 1217--1231 (2018; Zbl 1445.65045) Full Text: DOI
Medvedev, Maxim A.; Simos, T. E. A new three-stages six-step finite difference pair with optimal phase properties for second order initial and/or boundary value problems with periodical and/or oscillating solutions. (English) Zbl 1447.81114 J. Math. Chem. 56, No. 4, 1280-1312 (2018). MSC: 81Q05 65M06 81-08 PDFBibTeX XMLCite \textit{M. A. Medvedev} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 4, 1280--1312 (2018; Zbl 1447.81114) Full Text: DOI
Medvedev, Maxim A.; Simos, T. E. A new six-step algorithm with improved properties for the numerical solution of second order initial and/or boundary value problems. (English) Zbl 1447.81113 J. Math. Chem. 56, No. 4, 1206-1233 (2018). MSC: 81Q05 65M06 65M15 81-08 PDFBibTeX XMLCite \textit{M. A. Medvedev} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 4, 1206--1233 (2018; Zbl 1447.81113) Full Text: DOI
Berg, Dmitriy B.; Simos, T. E. A new multistep finite difference pair for the Schrödinger equation and related problems. (English) Zbl 1462.65079 J. Math. Chem. 56, No. 3, 656-686 (2018). Reviewer: Pavel Burda (Praha) MSC: 65L05 65L12 65L20 PDFBibTeX XMLCite \textit{D. B. Berg} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 3, 656--686 (2018; Zbl 1462.65079) Full Text: DOI
Medvedev, Maxim A.; Simos, T. E. A multistep method with optimal properties for second order differential equations. (English) Zbl 1384.65049 J. Math. Chem. 56, No. 1, 1-29 (2018). MSC: 65L12 65L05 65L06 34L40 65L70 65L20 PDFBibTeX XMLCite \textit{M. A. Medvedev} and \textit{T. E. Simos}, J. Math. Chem. 56, No. 1, 1--29 (2018; Zbl 1384.65049) Full Text: DOI
Al-Khaled, Kamel; Haynes, Nicholas; Schiesser, William; Usman, Muhammad Eventual periodicity of the forced oscillations for a Korteweg-de Vries type equation on a bounded domain using a sinc collocation method. (English) Zbl 1376.65132 J. Comput. Appl. Math. 330, 417-428 (2018). MSC: 65M70 35Q53 65M06 35B10 PDFBibTeX XMLCite \textit{K. Al-Khaled} et al., J. Comput. Appl. Math. 330, 417--428 (2018; Zbl 1376.65132) Full Text: DOI
Dong, Ming; Simos, Theodore E. A new high algebraic order efficient finite difference method for the solution of the Schrödinger equation. (English) Zbl 1499.65273 Filomat 31, No. 15, 4999-5012 (2017). MSC: 65L05 PDFBibTeX XMLCite \textit{M. Dong} and \textit{T. E. Simos}, Filomat 31, No. 15, 4999--5012 (2017; Zbl 1499.65273) Full Text: DOI
Wu, Yuching; Xiao, Jianzhuang Implementation of the multiscale stochastic finite element method on elliptic PDE problems. (English) Zbl 1404.65282 Int. J. Comput. Methods 14, No. 1, Article ID 1750003, 55 p. (2017). MSC: 65N30 65N75 35J25 60H35 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{J. Xiao}, Int. J. Comput. Methods 14, No. 1, Article ID 1750003, 55 p. (2017; Zbl 1404.65282) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. New two stages high order symmetric six-step method with vanished phase-lag and its first, second and third derivatives for the numerical solution of the Schrödinger equation. (English) Zbl 1384.65047 J. Math. Chem. 55, No. 2, 503-531 (2017). MSC: 65L12 65L05 65L06 34L40 65L20 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 55, No. 2, 503--531 (2017; Zbl 1384.65047) Full Text: DOI
Berg, Dmitriy B.; Simos, T. E. High order computationally economical six-step method with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation. (English) Zbl 1383.65078 J. Math. Chem. 55, No. 4, 987-1013 (2017). MSC: 65L10 65L06 34L40 65L20 65L70 34B05 65Y20 PDFBibTeX XMLCite \textit{D. B. Berg} and \textit{T. E. Simos}, J. Math. Chem. 55, No. 4, 987--1013 (2017; Zbl 1383.65078) Full Text: DOI
Medvedev, Maxim A.; Simos, T. E. Two stages six-step method with eliminated phase-lag and its first, second, third and fourth derivatives for the approximation of the Schrödinger equation. (English) Zbl 1383.65080 J. Math. Chem. 55, No. 4, 961-986 (2017). MSC: 65L10 65L06 34L40 34B05 65L20 65L70 65Y20 PDFBibTeX XMLCite \textit{M. A. Medvedev} and \textit{T. E. Simos}, J. Math. Chem. 55, No. 4, 961--986 (2017; Zbl 1383.65080) Full Text: DOI
Simos, T. E.; Tsitouras, Ch. A new family of 7 stages, eighth-order explicit Numerov-type methods. (English) Zbl 1387.65067 Math. Methods Appl. Sci. 40, No. 18, 7867-7878 (2017). MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{T. E. Simos} and \textit{Ch. Tsitouras}, Math. Methods Appl. Sci. 40, No. 18, 7867--7878 (2017; Zbl 1387.65067) Full Text: DOI
Ibrahim, Iman H. Hybrid multistep method for solving second order initial value problems. (English) Zbl 1377.65081 J. Egypt. Math. Soc. 25, No. 3, 355-362 (2017). MSC: 65L05 34A34 65L20 65L06 PDFBibTeX XMLCite \textit{I. H. Ibrahim}, J. Egypt. Math. Soc. 25, No. 3, 355--362 (2017; Zbl 1377.65081) Full Text: DOI
Berg, Dmitriy B.; Simos, T. E. An efficient six-step method for the solution of the Schrödinger equation. (English) Zbl 1422.65112 J. Math. Chem. 55, No. 8, 1521-1547 (2017). MSC: 65L06 65L05 PDFBibTeX XMLCite \textit{D. B. Berg} and \textit{T. E. Simos}, J. Math. Chem. 55, No. 8, 1521--1547 (2017; Zbl 1422.65112) Full Text: DOI
Berg, Dmitriy B.; Simos, T. E. Three stages symmetric six-step method with eliminated phase-lag and its derivatives for the solution of the Schrödinger equation. (English) Zbl 1422.65111 J. Math. Chem. 55, No. 5, 1213-1235 (2017). MSC: 65L06 65L05 65L20 65L70 PDFBibTeX XMLCite \textit{D. B. Berg} and \textit{T. E. Simos}, J. Math. Chem. 55, No. 5, 1213--1235 (2017; Zbl 1422.65111) Full Text: DOI
Haddar, Houssem; Nguyen, Thi-Phong A volume integral method for solving scattering problems from locally perturbed infinite periodic layers. (English) Zbl 1364.65267 Appl. Anal. 96, No. 1, 130-158 (2017). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65N80 35J05 65N12 PDFBibTeX XMLCite \textit{H. Haddar} and \textit{T.-P. Nguyen}, Appl. Anal. 96, No. 1, 130--158 (2017; Zbl 1364.65267) Full Text: DOI HAL
Alolyan, Ibraheem; Simos, T. E. A new two stages tenth algebraic order symmetric six-step method with vanished phase-lag and its first and second derivatives for the solution of the radial Schrödinger equation and related problems. (English) Zbl 1359.65105 J. Math. Chem. 55, No. 1, 105-131 (2017). MSC: 65L05 34A30 65L06 34L40 65L20 65L70 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 55, No. 1, 105--131 (2017; Zbl 1359.65105) Full Text: DOI
Svenning, Erik; Fagerström, Martin; Larsson, Fredrik Computational homogenization of microfractured continua using weakly periodic boundary conditions. (English) Zbl 1425.74394 Comput. Methods Appl. Mech. Eng. 299, 1-21 (2016). MSC: 74Q05 74S05 74R10 65N30 PDFBibTeX XMLCite \textit{E. Svenning} et al., Comput. Methods Appl. Mech. Eng. 299, 1--21 (2016; Zbl 1425.74394) Full Text: DOI
Zahr, M. J.; Persson, P.-O.; Wilkening, J. A fully discrete adjoint method for optimization of flow problems on deforming domains with time-periodicity constraints. (English) Zbl 1390.76380 Comput. Fluids 139, 130-147 (2016). MSC: 76M10 65M20 65L04 65M60 76Z10 PDFBibTeX XMLCite \textit{M. J. Zahr} et al., Comput. Fluids 139, 130--147 (2016; Zbl 1390.76380) Full Text: DOI arXiv
Alolyan, Ibraheem; Simos, T. E. A new eight algebraic order embedded explicit six-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the Schrödinger equation. (English) Zbl 1349.65209 J. Math. Chem. 54, No. 8, 1696-1727 (2016). MSC: 65L05 65L06 81Q05 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 54, No. 8, 1696--1727 (2016; Zbl 1349.65209) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. A family of two stages tenth algebraic order symmetric six-step methods with vanished phase-lag and its first derivatives for the numerical solution of the radial Schrödinger equation and related problems. (English) Zbl 1367.65106 J. Math. Chem. 54, No. 9, 1835-1862 (2016). MSC: 65L05 65L06 81Q05 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 54, No. 9, 1835--1862 (2016; Zbl 1367.65106) Full Text: DOI
Hui, Fei; Sirnos, Theodore E. Four stages symmetric two-step P-stable method with vanished phase-lag and its first, second, third and fourth derivatives. (English) Zbl 1343.65090 Appl. Comput. Math. 15, No. 2, 220-238 (2016). MSC: 65L06 65L05 34A30 34L40 65L20 65L70 PDFBibTeX XMLCite \textit{F. Hui} and \textit{T. E. Sirnos}, Appl. Comput. Math. 15, No. 2, 220--238 (2016; Zbl 1343.65090) Full Text: Link
Alolyan, Ibraheem; Simos, T. E. A family of embedded explicit six-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation: development and theoretical analysis. (English) Zbl 1345.65047 J. Math. Chem. 54, No. 5, 1159-1186 (2016). MSC: 65L05 81Q05 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 54, No. 5, 1159--1186 (2016; Zbl 1345.65047) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. Family of symmetric linear six-step methods with vanished phase-lag and its derivatives and their application to the radial Schrödinger equation and related problems. (English) Zbl 1349.65208 J. Math. Chem. 54, No. 2, 466-502 (2016). MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 54, No. 2, 466--502 (2016; Zbl 1349.65208) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. An implicit symmetric linear six-step methods with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrödinger equation and related problems. (English) Zbl 1356.65163 J. Math. Chem. 54, No. 4, 1010-1040 (2016). MSC: 65L05 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 54, No. 4, 1010--1040 (2016; Zbl 1356.65163) Full Text: DOI
Nestler, Franziska An NFFT based approach to the efficient computation of dipole-dipole interactions under various periodic boundary conditions. (English) Zbl 1416.65568 Appl. Numer. Math. 105, 25-46 (2016). MSC: 65T50 65B10 78M25 65R10 PDFBibTeX XMLCite \textit{F. Nestler}, Appl. Numer. Math. 105, 25--46 (2016; Zbl 1416.65568) Full Text: DOI
Tornberg, Anna-Karin The Ewald sums for singly, doubly and triply periodic electrostatic systems. (English) Zbl 1382.78022 Adv. Comput. Math. 42, No. 1, 227-248 (2016). MSC: 78M25 65R10 31C20 35B10 35J15 40C99 65B10 PDFBibTeX XMLCite \textit{A.-K. Tornberg}, Adv. Comput. Math. 42, No. 1, 227--248 (2016; Zbl 1382.78022) Full Text: DOI arXiv
Khaliq, Abdul; Elsayed, E. M. The dynamics and solution of some difference equations. (English) Zbl 1329.39013 J. Nonlinear Sci. Appl. 9, No. 3, 1052-1063 (2016). MSC: 39A20 39A30 39A23 65Q10 PDFBibTeX XMLCite \textit{A. Khaliq} and \textit{E. M. Elsayed}, J. Nonlinear Sci. Appl. 9, No. 3, 1052--1063 (2016; Zbl 1329.39013) Full Text: DOI Link
Nestler, Franziska; Pippig, Michael; Potts, Daniel Fast ewald summation based on NFFT with mixed periodicity. (English) Zbl 1351.78066 J. Comput. Phys. 285, 280-315 (2015). MSC: 78M25 65B10 65T50 PDFBibTeX XMLCite \textit{F. Nestler} et al., J. Comput. Phys. 285, 280--315 (2015; Zbl 1351.78066) Full Text: DOI
Simos, Theodore E. Multistage symmetric two-step P-stable method with vanished phase-lag and its first, second and third derivatives. (English) Zbl 1332.65102 Appl. Comput. Math. 14, No. 3, 296-315 (2015). MSC: 65L05 34A34 65L06 65L20 65L70 PDFBibTeX XMLCite \textit{T. E. Simos}, Appl. Comput. Math. 14, No. 3, 296--315 (2015; Zbl 1332.65102) Full Text: Link
Su, Menglong; Nie, Shuyuan A non-interior path following method for solving the periodicity problem of a class of differential equations. (English) Zbl 1329.65107 Adv. Differ. Equ. Control Process. 15, No. 1, 45-51 (2015). MSC: 65H10 PDFBibTeX XMLCite \textit{M. Su} and \textit{S. Nie}, Adv. Differ. Equ. Control Process. 15, No. 1, 45--51 (2015; Zbl 1329.65107) Full Text: DOI Link
Yun, Ana; Shin, Jaemin; Li, Yibao; Lee, Seunggyu; Kim, Junseok Numerical study of periodic traveling wave solutions for the predator-prey model with landscape features. (English) Zbl 1325.65173 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 9, Article ID 1550117, 18 p. (2015). MSC: 65N99 35K57 35C07 92D25 PDFBibTeX XMLCite \textit{A. Yun} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 9, Article ID 1550117, 18 p. (2015; Zbl 1325.65173)
Alolyan, Ibraheem; Simos, T. E. A high algebraic order multistage explicit four-step method with vanished phase-lag and its first, second, third, fourth and fifth derivatives for the numerical solution of the Schrödinger equation. (English) Zbl 1325.65100 J. Math. Chem. 53, No. 8, 1915-1942 (2015). MSC: 65L05 65L06 34A30 34L40 65L70 65L20 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 53, No. 8, 1915--1942 (2015; Zbl 1325.65100) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. Efficient low computational cost hybrid explicit four-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical integration of the Schrödinger equation. (English) Zbl 1325.65099 J. Math. Chem. 53, No. 8, 1808-1834 (2015). MSC: 65L05 65L06 34A30 34L40 65L70 65L20 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 53, No. 8, 1808--1834 (2015; Zbl 1325.65099) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. A high algebraic order predictor-corrector explicit method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the Schrödinger equation and related problems. (English) Zbl 1331.65093 J. Math. Chem. 53, No. 7, 1495-1522 (2015). MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 53, No. 7, 1495--1522 (2015; Zbl 1331.65093) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. A predictor-corrector explicit four-step method with vanished phase-lag and its first, second and third derivatives for the numerical integration of the Schrödinger equation. (English) Zbl 1318.65042 J. Math. Chem. 53, No. 2, 685-717 (2015). MSC: 65L10 34B05 34L40 65L06 65L70 65L20 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 53, No. 2, 685--717 (2015; Zbl 1318.65042) Full Text: DOI
Mu, Kenan; Simos, T. E. A Runge-Kutta type implicit high algebraic order two-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of coupled differential equations arising from the Schrödinger equation. (English) Zbl 1318.65039 J. Math. Chem. 53, No. 5, 1239-1256 (2015). MSC: 65L06 65L05 34A34 34L40 65L20 65L70 PDFBibTeX XMLCite \textit{K. Mu} and \textit{T. E. Simos}, J. Math. Chem. 53, No. 5, 1239--1256 (2015; Zbl 1318.65039) Full Text: DOI
Mohanty, R. K.; McKee, Sean On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh. (English) Zbl 1326.65089 Appl. Math. Lett. 45, 31-36 (2015). MSC: 65L05 65L06 65L20 PDFBibTeX XMLCite \textit{R. K. Mohanty} and \textit{S. McKee}, Appl. Math. Lett. 45, 31--36 (2015; Zbl 1326.65089) Full Text: DOI
Vladimirov, Igor G. Quantized linear systems on integer lattices: a frequency-based approach. arXiv:1501.04237 Preprint, arXiv:1501.04237 [math.PR] (2015). MSC: 65P20 65G50 60B10 11K06 11K70 11L03 37A05 60D05 60F17 BibTeX Cite \textit{I. G. Vladimirov}, ``Quantized linear systems on integer lattices: a frequency-based approach'', Preprint, arXiv:1501.04237 [math.PR] (2015) Full Text: arXiv OA License
Akhshani, A.; Akhavan, A.; Mobaraki, A.; Lim, S.-C.; Hassan, Z. Pseudo random number generator based on quantum chaotic map. (English) Zbl 1344.65009 Commun. Nonlinear Sci. Numer. Simul. 19, No. 1, 101-111 (2014). MSC: 65C10 81P68 94A60 PDFBibTeX XMLCite \textit{A. Akhshani} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 1, 101--111 (2014; Zbl 1344.65009) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. A hybrid type four-step method with vanished phase-lag and its first, second and third derivatives for each level for the numerical integration of the Schrödinger equation. (English) Zbl 1307.65106 J. Math. Chem. 52, No. 9, 2334-2379 (2014). MSC: 65L10 34B05 34L40 65L06 65L20 65L70 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 52, No. 9, 2334--2379 (2014; Zbl 1307.65106) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. A Runge-Kutta type four-step method with vanished phase-lag and its first and second derivatives for each level for the numerical integration of the Schrödinger equation. (English) Zbl 1300.65050 J. Math. Chem. 52, No. 3, 917-947 (2014). MSC: 65L06 34L40 65L05 34A30 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 52, No. 3, 917--947 (2014; Zbl 1300.65050) Full Text: DOI
Feichtinger, Hans G.; Onchis, Darian M.; Wiesmeyr, Christoph Construction of approximate dual wavelet frames. (English) Zbl 1322.65122 Adv. Comput. Math. 40, No. 1, 273-282 (2014). Reviewer: Xiaosheng Zhuang (Hong Kong) MSC: 65T60 11K70 42C40 42C15 PDFBibTeX XMLCite \textit{H. G. Feichtinger} et al., Adv. Comput. Math. 40, No. 1, 273--282 (2014; Zbl 1322.65122) Full Text: DOI
Feichtinger, Hans G.; Grybos, Anna; Onchis, Darian M. Approximate dual Gabor atoms via the adjoint lattice method. (English) Zbl 1309.42043 Adv. Comput. Math. 40, No. 3, 651-665 (2014). Reviewer: Franz Luef (Trondheim) MSC: 42C15 65T99 11K70 65D15 PDFBibTeX XMLCite \textit{H. G. Feichtinger} et al., Adv. Comput. Math. 40, No. 3, 651--665 (2014; Zbl 1309.42043) Full Text: DOI
Abłamowicz, Rafał; Fauser, Bertfried Using periodicity theorems for computations in higher dimensional Clifford algebras. (English) Zbl 1298.65073 Adv. Appl. Clifford Algebr. 24, No. 2, 569-587 (2014). MSC: 65F30 15A66 PDFBibTeX XMLCite \textit{R. Abłamowicz} and \textit{B. Fauser}, Adv. Appl. Clifford Algebr. 24, No. 2, 569--587 (2014; Zbl 1298.65073) Full Text: DOI arXiv
Alolyan, Ibraheem; Simos, T. E. A new four-step Runge-Kutta type method with vanished phase-lag and its first, second and third derivatives for the numerical solution of the Schrödinger equation. (English) Zbl 1321.65114 J. Math. Chem. 51, No. 5, 1418-1445 (2013). MSC: 65L06 81Q05 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 51, No. 5, 1418--1445 (2013; Zbl 1321.65114) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. A new four-step hybrid type method with vanished phase-lag and its first derivatives for each level for the approximate integration of the Schrödinger equation. (English) Zbl 1314.65099 J. Math. Chem. 51, No. 9, 2542-2571 (2013). MSC: 65L06 81Q10 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 51, No. 9, 2542--2571 (2013; Zbl 1314.65099) Full Text: DOI
Mantica, Giorgio Direct and inverse computation of Jacobi matrices of infinite iterated function systems. (English) Zbl 1282.65050 Numer. Math. 125, No. 4, 705-731 (2013). MSC: 65F30 47B36 42C05 65D32 65J22 PDFBibTeX XMLCite \textit{G. Mantica}, Numer. Math. 125, No. 4, 705--731 (2013; Zbl 1282.65050) Full Text: DOI arXiv
Olabode, Bola Titilayo; Alabi, T. J. Direct block predictor-corrector method for the solution of general fourth order ODEs. (English) Zbl 1275.65043 J. Math. Res. 5, No. 1, 26-33 (2013). MSC: 65L06 65L05 PDFBibTeX XMLCite \textit{B. T. Olabode} and \textit{T. J. Alabi}, J. Math. Res. 5, No. 1, 26--33 (2013; Zbl 1275.65043) Full Text: DOI Link
Ahmad, S. Z.; Ismail, F.; Senu, N.; Suleiman, M. Semi implicit hybrid methods with higher order dispersion for solving oscillatory problems. (English) Zbl 1275.65042 Abstr. Appl. Anal. 2013, Article ID 136961, 10 p. (2013). MSC: 65L06 65L05 34A34 65L20 34C10 PDFBibTeX XMLCite \textit{S. Z. Ahmad} et al., Abstr. Appl. Anal. 2013, Article ID 136961, 10 p. (2013; Zbl 1275.65042) Full Text: DOI
Simos, T. E. New high order multiderivative explicit four-step methods with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation. I: construction and theoretical analysis. (English) Zbl 1270.81083 J. Math. Chem. 51, No. 1, 194-226 (2013). MSC: 81Q05 81-08 65L06 81T80 PDFBibTeX XMLCite \textit{T. E. Simos}, J. Math. Chem. 51, No. 1, 194--226 (2013; Zbl 1270.81083) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. High order four-step hybrid method with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation. (English) Zbl 1270.81075 J. Math. Chem. 51, No. 2, 532-555 (2013). MSC: 81Q05 81-08 65L06 81T80 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 51, No. 2, 532--555 (2013; Zbl 1270.81075) Full Text: DOI
Li, Ta-Hsin Quantile periodograms. (English) Zbl 1261.62082 J. Am. Stat. Assoc. 107, No. 498, 765-776 (2012). MSC: 62M15 62M10 62G08 65C60 PDFBibTeX XMLCite \textit{T.-H. Li}, J. Am. Stat. Assoc. 107, No. 498, 765--776 (2012; Zbl 1261.62082) Full Text: DOI
Pan, Rijing; Yao, Zhiqiang; Liu, Xiaofen Representation and computation of the transformation matrices of periodic B-spline bases. (Chinese. English summary) Zbl 1265.65017 Acta Math. Appl. Sin. 35, No. 2, 263-282 (2012). MSC: 65D07 65D17 68U07 PDFBibTeX XMLCite \textit{R. Pan} et al., Acta Math. Appl. Sin. 35, No. 2, 263--282 (2012; Zbl 1265.65017)
Alolyan, Ibraheem; Simos, T. E. A new high order two-step method with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation. (English) Zbl 1310.65079 J. Math. Chem. 50, No. 9, 2351-2373 (2012). MSC: 65L05 65L06 34A30 34L40 65L20 65L70 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 50, No. 9, 2351--2373 (2012; Zbl 1310.65079) Full Text: DOI
Anastassi, Z. A.; Simos, T. E. A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems. (English) Zbl 1246.65105 J. Comput. Appl. Math. 236, No. 16, 3880-3889 (2012). MSC: 65L05 65L06 65L12 34A30 PDFBibTeX XMLCite \textit{Z. A. Anastassi} and \textit{T. E. Simos}, J. Comput. Appl. Math. 236, No. 16, 3880--3889 (2012; Zbl 1246.65105) Full Text: DOI
Khan, Rahmat Ali; Usman, Muhammad Eventual periodicity of forced oscillations of the Korteweg-de Vries type equation. (English) Zbl 1236.65153 Appl. Math. Modelling 36, No. 2, 736-742 (2012). MSC: 65N99 35Q53 PDFBibTeX XMLCite \textit{R. A. Khan} and \textit{M. Usman}, Appl. Math. Modelling 36, No. 2, 736--742 (2012; Zbl 1236.65153) Full Text: DOI
Hidaka, T. Detection of change in non-linear dynamics behind the periodic time series and its application to solar cycle prediction. (English) Zbl 1239.62106 Int. J. Pure Appl. Math. 73, No. 3, 309-333 (2011). MSC: 62M10 62M15 85A35 65C60 PDFBibTeX XMLCite \textit{T. Hidaka}, Int. J. Pure Appl. Math. 73, No. 3, 309--333 (2011; Zbl 1239.62106) Full Text: Link
Su, Menglong; Huang, Sheng A new path following method for periodicity problems of ordinary differential equations. (English) Zbl 1246.65117 Adv. Differ. Equ. Control Process. 8, No. 1, 17-21 (2011). Reviewer: Ludwig Kohaupt (Berlin) MSC: 65L05 34C25 34A34 65L20 65H20 PDFBibTeX XMLCite \textit{M. Su} and \textit{S. Huang}, Adv. Differ. Equ. Control Process. 8, No. 1, 17--21 (2011; Zbl 1246.65117) Full Text: Link
Li, Qinghong One-step explicit methods for the numerical integration of perturbed oscillators. (English) Zbl 1242.65134 Int. J. Comput. Math. 88, No. 15, 3324-3334 (2011). MSC: 65L05 34A34 34C10 PDFBibTeX XMLCite \textit{Q. Li}, Int. J. Comput. Math. 88, No. 15, 3324--3334 (2011; Zbl 1242.65134) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation. (English) Zbl 1236.65083 Comput. Math. Appl. 62, No. 10, 3756-3774 (2011). MSC: 65L06 81Q05 65L20 81-08 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, Comput. Math. Appl. 62, No. 10, 3756--3774 (2011; Zbl 1236.65083) Full Text: DOI
Simos, T. E. A two-step method with vanished phase-lag and its first two derivatives for the numerical solution of the Schrödinger equation. (English) Zbl 1304.65177 J. Math. Chem. 49, No. 10, 2486-2518 (2011). MSC: 65L10 81-08 PDFBibTeX XMLCite \textit{T. E. Simos}, J. Math. Chem. 49, No. 10, 2486--2518 (2011; Zbl 1304.65177) Full Text: DOI
Achar, Sujatha D. Symmetric multistep Obrechkoff methods with zero phase-lag for periodic initial value problems of second order differential equations. (English) Zbl 1231.65117 Appl. Math. Comput. 218, No. 5, 2237-2248 (2011). MSC: 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{S. D. Achar}, Appl. Math. Comput. 218, No. 5, 2237--2248 (2011; Zbl 1231.65117) Full Text: DOI
Xia, Yingcun; Tong, Howell Feature matching in time series modeling. (English) Zbl 1219.62142 Stat. Sci. 26, No. 1, 21-46 (2011). MSC: 62M10 65C60 62M20 PDFBibTeX XMLCite \textit{Y. Xia} and \textit{H. Tong}, Stat. Sci. 26, No. 1, 21--46 (2011; Zbl 1219.62142) Full Text: DOI arXiv
Alolyan, Ibraheem; Simos, T. E. A family of eight-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation. (English) Zbl 1217.65143 J. Math. Chem. 49, No. 3, 711-764 (2011). MSC: 65L06 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 49, No. 3, 711--764 (2011; Zbl 1217.65143) Full Text: DOI
Elsayed, Elsayed Mohammed Dynamics of recursive sequence of order two. (English) Zbl 1298.39004 Kyungpook Math. J. 50, No. 4, 483-497 (2010). Reviewer: Bolis Basit (Clayton) MSC: 39A10 39A20 39A23 39A30 65Q10 PDFBibTeX XMLCite \textit{E. M. Elsayed}, Kyungpook Math. J. 50, No. 4, 483--497 (2010; Zbl 1298.39004) Full Text: DOI
Benítez, R.; Bolós, V. J.; Ramírez, M. E. A wavelet-based tool for studying non-periodicity. (English) Zbl 1201.65226 Comput. Math. Appl. 60, No. 3, 634-641 (2010). MSC: 65T60 37D45 62M15 94A12 PDFBibTeX XMLCite \textit{R. Benítez} et al., Comput. Math. Appl. 60, No. 3, 634--641 (2010; Zbl 1201.65226) Full Text: DOI arXiv
Alolyan, Ibraheem; Simos, T. E. Mulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equation. (English) Zbl 1202.81028 J. Math. Chem. 48, No. 4, 1092-1143 (2010). MSC: 81Q05 65L06 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 48, No. 4, 1092--1143 (2010; Zbl 1202.81028) Full Text: DOI
Alolyan, Ibraheem; Simos, T. E. High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation. (English) Zbl 1202.81027 J. Math. Chem. 48, No. 4, 925-958 (2010). MSC: 81Q05 65L06 PDFBibTeX XMLCite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 48, No. 4, 925--958 (2010; Zbl 1202.81027) Full Text: DOI
Sauer, Timothy Observing periodically forced systems of difference equations. (English) Zbl 1186.39019 J. Difference Equ. Appl. 16, No. 2-3, 269-273 (2010). MSC: 39A23 39A12 39A10 65Q10 PDFBibTeX XMLCite \textit{T. Sauer}, J. Difference Equ. Appl. 16, No. 2--3, 269--273 (2010; Zbl 1186.39019) Full Text: DOI
Li, Qinghong Two-step explicit methods for second-order IVPs with oscillatory solutions. (English) Zbl 1182.65114 Int. J. Comput. Math. 87, No. 2, 353-366 (2010). MSC: 65L06 65L05 34A34 34C10 34C25 PDFBibTeX XMLCite \textit{Q. Li}, Int. J. Comput. Math. 87, No. 2, 353--366 (2010; Zbl 1182.65114) Full Text: DOI
Zhang, Xiaochao; Feng, Yongping; Zheng, Feiyan Two-scale analysis for elliptic boundary value problem of quasi-periodic coefficients. (Chinese. English summary) Zbl 1224.35111 J. Guangzhou Univ., Nat. Sci. 8, No. 6, 20-23 (2009). MSC: 35J58 65N12 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Guangzhou Univ., Nat. Sci. 8, No. 6, 20--23 (2009; Zbl 1224.35111)