Cai, Zhenning; Lin, Bo; Lin, Meixia A positive and moment-preserving Fourier spectral method. (English) Zbl 07805453 SIAM J. Numer. Anal. 62, No. 1, 273-294 (2024). MSC: 65T40 65N35 90C25 PDFBibTeX XMLCite \textit{Z. Cai} et al., SIAM J. Numer. Anal. 62, No. 1, 273--294 (2024; Zbl 07805453) Full Text: DOI arXiv
Kaur, Anurag; Kanwar, V.; Ramos, Higinio A coupled scheme based on uniform algebraic trigonometric tension B-Spline and a hybrid block method for Camassa-Holm and Degasperis-Procesi equations. (English) Zbl 07784437 Comput. Appl. Math. 43, No. 1, Paper No. 16, 24 p. (2024). MSC: 65N35 35F50 PDFBibTeX XMLCite \textit{A. Kaur} et al., Comput. Appl. Math. 43, No. 1, Paper No. 16, 24 p. (2024; Zbl 07784437) Full Text: DOI OA License
Miao, Zhen; Wang, Bin; Jiang, Yao-Lin Numerical conservations of energy, momentum and actions in the full discretisation for nonlinear wave equations. (English) Zbl 07784044 J. Sci. Comput. 98, No. 1, Paper No. 10, 22 p. (2024). MSC: 65P10 65L05 35L70 65M70 65M15 PDFBibTeX XMLCite \textit{Z. Miao} et al., J. Sci. Comput. 98, No. 1, Paper No. 10, 22 p. (2024; Zbl 07784044) Full Text: DOI
Uçar, Yusuf; Yağmurlu, Nuri Murat; Yiğit, Mehmet Kerem Numerical solution of the coupled Burgers equation by trigonometric B-spline collocation method. (English) Zbl 07782150 Math. Methods Appl. Sci. 46, No. 5, 6025-6041 (2023). MSC: 65-XX 35Q51 74J35 33F10 65D07 PDFBibTeX XMLCite \textit{Y. Uçar} et al., Math. Methods Appl. Sci. 46, No. 5, 6025--6041 (2023; Zbl 07782150) Full Text: DOI
Zhu, Bi-Yun; Xiao, Ai-Guo; Li, Xue-Yang An efficient numerical method on modified space-time sparse grid for time-fractional diffusion equation with nonsmooth data. (English) Zbl 07780858 Numer. Algorithms 94, No. 4, 1561-1596 (2023). MSC: 65M70 65M06 65N35 65T40 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{B.-Y. Zhu} et al., Numer. Algorithms 94, No. 4, 1561--1596 (2023; Zbl 07780858) Full Text: DOI
Karaagac, B.; Esen, A.; Owolabi, K. M.; Pindza, E. A collocation method for the KdV-Kawahara equation by trigonometric quintic B-spline basis. (Russian. English summary) Zbl 1527.65063 Sib. Zh. Vychisl. Mat. 26, No. 3, 263-276 (2023). MSC: 65L60 37N30 37M05 35C08 41A15 PDFBibTeX XMLCite \textit{B. Karaagac} et al., Sib. Zh. Vychisl. Mat. 26, No. 3, 263--276 (2023; Zbl 1527.65063) Full Text: DOI MNR
Kumar, Ramesh; Vashishtha, Chintamani; Dubey, Ramu; Mishra, Vishnu Narayan Review summary of cubic trigonometric and modified trigonometric techniques for solving nonlinear parabolic type PDEs. (English) Zbl 1517.65096 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 30, No. 3, 171-193 (2023). MSC: 65M70 35B35 65D07 65M06 65M12 PDFBibTeX XMLCite \textit{R. Kumar} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 30, No. 3, 171--193 (2023; Zbl 1517.65096) Full Text: Link Link
Çelikkaya, İhsan Travelling peakon and solitary wave solutions of modified Fornberg-Whitham equations with nonhomogeneous boundary conditions. (English) Zbl 07702460 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 661-671 (2023). MSC: 65M70 35G31 65Z05 65D05 65D07 65L20 PDFBibTeX XMLCite \textit{İ. Çelikkaya}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 661--671 (2023; Zbl 07702460) Full Text: DOI
Glaubitz, Jan; Nordström, Jan; Öffner, Philipp Summation-by-parts operators for general function spaces. (English) Zbl 07679126 SIAM J. Numer. Anal. 61, No. 2, 733-754 (2023). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65M70 65M06 65L06 65N30 65N35 65K10 65D25 65D12 65T40 65M12 PDFBibTeX XMLCite \textit{J. Glaubitz} et al., SIAM J. Numer. Anal. 61, No. 2, 733--754 (2023; Zbl 07679126) Full Text: DOI arXiv
Karaagac, Berat; Esen, Alaattin; Ucar, Yusuf; Yagmurlu, Nuri Murat A new outlook for analysis of Noyes-Field model for the nonlinear Belousov-Zhabotinsky reaction using operator splitting method. (English) Zbl 07674315 Comput. Math. Appl. 136, 127-135 (2023). MSC: 76Z05 35Q92 65D07 65M70 92E20 PDFBibTeX XMLCite \textit{B. Karaagac} et al., Comput. Math. Appl. 136, 127--135 (2023; Zbl 07674315) Full Text: DOI
Kaur, Anurag; Kanwar, V.; Ramos, Higinio An efficient algorithm combining an optimized hybrid block method and the differential quadrature method for solving Hunter-Saxton equation. (English) Zbl 1519.65045 J. Math. Chem. 61, No. 4, 761-776 (2023). Reviewer: Wenlin Qiu (Changsha) MSC: 65M70 65L04 65N35 65D07 65D32 65N12 35K59 35F50 76A15 35Q35 PDFBibTeX XMLCite \textit{A. Kaur} et al., J. Math. Chem. 61, No. 4, 761--776 (2023; Zbl 1519.65045) Full Text: DOI
Zhang, Xiaolong; Boyd, John P. Asymptotic coefficients and errors for Chebyshev polynomial approximations with weak endpoint singularities: effects of different bases. (English) Zbl 1505.65019 Sci. China, Math. 66, No. 1, 191-220 (2023). MSC: 65D05 65M70 65D15 42A10 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{J. P. Boyd}, Sci. China, Math. 66, No. 1, 191--220 (2023; Zbl 1505.65019) Full Text: DOI arXiv
Gross, Craig; Iwen, Mark Sparse Spectral Methods for Solving High-Dimensional and Multiscale Elliptic PDEs. arXiv:2302.00752 Preprint, arXiv:2302.00752 [math.NA] (2023). MSC: 65N35 65T40 35J15 65D40 35J05 BibTeX Cite \textit{C. Gross} and \textit{M. Iwen}, ``Sparse Spectral Methods for Solving High-Dimensional and Multiscale Elliptic PDEs'', Preprint, arXiv:2302.00752 [math.NA] (2023) Full Text: arXiv OA License
Hepson, Ozlem Ersoy A quartic trigonometric tension B-spline finite element method for solving Gardner equation. (English) Zbl 07778284 Numer. Methods Partial Differ. Equations 38, No. 4, 1055-1067 (2022). MSC: 65M60 65M70 65M06 65N30 65N35 65D07 35C08 35Q35 PDFBibTeX XMLCite \textit{O. E. Hepson}, Numer. Methods Partial Differ. Equations 38, No. 4, 1055--1067 (2022; Zbl 07778284) Full Text: DOI
Yağmurlu, Nuri Murat; Karakaş, Ali Sercan A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization. (English) Zbl 1524.65690 Comput. Methods Differ. Equ. 10, No. 4, 1046-1058 (2022). MSC: 65M70 35Q51 65D07 65M60 PDFBibTeX XMLCite \textit{N. M. Yağmurlu} and \textit{A. S. Karakaş}, Comput. Methods Differ. Equ. 10, No. 4, 1046--1058 (2022; Zbl 1524.65690) Full Text: DOI
Zhang, Yuhui; Rabczuk, Timon; Lu, Jun; Lin, Shifa; Lin, Ji Space-time backward substitution method for nonlinear transient heat conduction problems in functionally graded materials. (English) Zbl 1524.65696 Comput. Math. Appl. 124, 98-110 (2022). MSC: 65M70 74F05 65M06 80M22 80M20 65D05 65D12 33B10 80A19 35K05 35Q79 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Comput. Math. Appl. 124, 98--110 (2022; Zbl 1524.65696) Full Text: DOI
Singh, Satpal; Kumar, Devendra; Deswal, Komal Trigonometric \(B\)-spline based \(\varepsilon\)-uniform scheme for singularly perturbed problems with Robin boundary conditions. (English) Zbl 1492.65283 J. Difference Equ. Appl. 28, No. 7, 924-945 (2022). MSC: 65M70 65D07 65M12 65M15 PDFBibTeX XMLCite \textit{S. Singh} et al., J. Difference Equ. Appl. 28, No. 7, 924--945 (2022; Zbl 1492.65283) Full Text: DOI
Pasini, Massimiliano Lupo; Perotto, Simona Hierarchical model reduction driven by a proper orthogonal decomposition for parametrized advection-diffusion-reaction problems. (English) Zbl 1487.65184 ETNA, Electron. Trans. Numer. Anal. 55, 187-212 (2022). MSC: 65N30 65N35 65T40 PDFBibTeX XMLCite \textit{M. L. Pasini} and \textit{S. Perotto}, ETNA, Electron. Trans. Numer. Anal. 55, 187--212 (2022; Zbl 1487.65184) Full Text: DOI
Raslan, K. R.; Ali, Khalid K.; Mohamed, Mohamed S.; Hadhoud, Adel R. A new structure to \(n\)-dimensional trigonometric cubic B-spline functions for solving \(n\)-dimensional partial differential equations. (English) Zbl 1494.65089 Adv. Difference Equ. 2021, Paper No. 442, 24 p. (2021). MSC: 65M70 65D07 PDFBibTeX XMLCite \textit{K. R. Raslan} et al., Adv. Difference Equ. 2021, Paper No. 442, 24 p. (2021; Zbl 1494.65089) Full Text: DOI
Yaseen, Muhammad; Abbas, Muhammad; Riaz, Muhammad Bilal A collocation method based on cubic trigonometric B-splines for the numerical simulation of the time-fractional diffusion equation. (English) Zbl 1494.65073 Adv. Difference Equ. 2021, Paper No. 210, 19 p. (2021). MSC: 65M06 35R11 65M70 65M12 26A33 PDFBibTeX XMLCite \textit{M. Yaseen} et al., Adv. Difference Equ. 2021, Paper No. 210, 19 p. (2021; Zbl 1494.65073) Full Text: DOI
Sweilam, Nasser Hassan; El-Sayed, Adel Abd Elaziz; Boulaaras, Salah Fractional-order advection-dispersion problem solution via the spectral collocation method and the non-standard finite difference technique. (English) Zbl 1498.65175 Chaos Solitons Fractals 144, Article ID 110736, 10 p. (2021). MSC: 65M70 33C47 42A10 35R11 65M12 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., Chaos Solitons Fractals 144, Article ID 110736, 10 p. (2021; Zbl 1498.65175) Full Text: DOI
Ashry, Heba; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. Spectral treatment of one and two dimensional second-order BVPs via certain modified shifted Chebyshev polynomials. (English) Zbl 1499.65344 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 248, 21 p. (2021). MSC: 65L60 33C45 34A30 42A10 PDFBibTeX XMLCite \textit{H. Ashry} et al., Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 248, 21 p. (2021; Zbl 1499.65344) Full Text: DOI
Zhang, Yuqing; Liu, Xin; Xie, Manting Efficient and accurate computation of the Bogoliubov-de Gennes excitations for the quasi-2d dipolar Bose-Einstein condensates. (English) Zbl 1482.35189 East Asian J. Appl. Math. 11, No. 4, 686-707 (2021). MSC: 35Q40 35Q41 65M70 65T40 65T50 PDFBibTeX XMLCite \textit{Y. Zhang} et al., East Asian J. Appl. Math. 11, No. 4, 686--707 (2021; Zbl 1482.35189) Full Text: DOI
Yousaf, Aatika; Yaseen, Muhammad A cubic trigonometric B-spline collocation method based on Hermite formula for the numerical solution of the heat equation with classical and non-classical boundary conditions. (English) Zbl 1480.65300 J. Prime Res. Math. 17, No. 2, 95-114 (2021). MSC: 65M70 35B35 65M12 65M15 PDFBibTeX XMLCite \textit{A. Yousaf} and \textit{M. Yaseen}, J. Prime Res. Math. 17, No. 2, 95--114 (2021; Zbl 1480.65300) Full Text: Link
Liao, Feng; Zhang, Luming Error estimates of exponential wave integrator sine pseudospectral method for Schrödinger-Boussinesq system. (English) Zbl 1480.65284 Int. J. Comput. Math. 98, No. 4, 807-828 (2021). MSC: 65M70 65M15 65T40 PDFBibTeX XMLCite \textit{F. Liao} and \textit{L. Zhang}, Int. J. Comput. Math. 98, No. 4, 807--828 (2021; Zbl 1480.65284) Full Text: DOI
Wang, Cheng Convergence analysis of Fourier pseudo-spectral schemes for three-dimensional incompressible Navier-Stokes equations. (English) Zbl 1479.35636 Electron. Res. Arch. 29, No. 5, 2915-2944 (2021). MSC: 35Q30 35B45 65M12 65M70 65M06 65T40 65D05 65D25 PDFBibTeX XMLCite \textit{C. Wang}, Electron. Res. Arch. 29, No. 5, 2915--2944 (2021; Zbl 1479.35636) Full Text: DOI
Alam, Mohammad Prawesh; Begum, Tahera; Khan, Arshad A high-order numerical algorithm for solving Lane-Emden equations with various types of boundary conditions. (English) Zbl 1476.65275 Comput. Appl. Math. 40, No. 6, Paper No. 204, 28 p. (2021). MSC: 65M99 65N35 65N55 65L10 65L60 34B16 PDFBibTeX XMLCite \textit{M. P. Alam} et al., Comput. Appl. Math. 40, No. 6, Paper No. 204, 28 p. (2021; Zbl 1476.65275) Full Text: DOI
Abdulganiy, R. I.; Akinfenwa, O. A.; Ramos, H.; Okunuga, S. A. A second-derivative functionally fitted method of maximal order for oscillatory initial value problems. (English) Zbl 1476.65125 Comput. Appl. Math. 40, No. 6, Paper No. 188, 18 p. (2021). MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{R. I. Abdulganiy} et al., Comput. Appl. Math. 40, No. 6, Paper No. 188, 18 p. (2021; Zbl 1476.65125) Full Text: DOI
Hepson, Ozlem Ersoy; Yiğit, Gülsemay; Allahviranloo, Tofigh Numerical simulations of reaction-diffusion systems in biological and chemical mechanisms with quartic-trigonometric B-splines. (English) Zbl 1476.92003 Comput. Appl. Math. 40, No. 4, Paper No. 144, 23 p. (2021). MSC: 92-10 65D07 65M70 35K57 92C15 PDFBibTeX XMLCite \textit{O. E. Hepson} et al., Comput. Appl. Math. 40, No. 4, Paper No. 144, 23 p. (2021; Zbl 1476.92003) Full Text: DOI
Hao, Yonghong; Huang, Qiumei; Wang, Cheng A third order BDF energy stable linear scheme for the no-slope-selection thin film model. (English) Zbl 1528.65086 Commun. Comput. Phys. 29, No. 3, 905-929 (2021). MSC: 65M70 65M06 65N35 65B05 65T40 65M12 35K30 35K55 41A25 76A20 74K35 PDFBibTeX XMLCite \textit{Y. Hao} et al., Commun. Comput. Phys. 29, No. 3, 905--929 (2021; Zbl 1528.65086) Full Text: DOI arXiv
Dong, Heping; Lai, Jun; Li, Peijun A highly accurate boundary integral method for the elastic obstacle scattering problem. (English) Zbl 1479.65035 Math. Comput. 90, No. 332, 2785-2814 (2021). MSC: 65N38 65N35 65N80 65T40 65R20 45L05 45P05 74J20 74B10 35J05 35A01 35A02 PDFBibTeX XMLCite \textit{H. Dong} et al., Math. Comput. 90, No. 332, 2785--2814 (2021; Zbl 1479.65035) Full Text: DOI arXiv
Khater, Mostafa M. A.; Nisar, Kottakkaran Sooppy; Mohamed, Mohamed S. Numerical investigation for the fractional nonlinear space-time telegraph equation via the trigonometric Quintic B-spline scheme. (English) Zbl 1469.35196 Math. Methods Appl. Sci. 44, No. 6, 4598-4606 (2021). MSC: 35Q60 35C07 37K10 65M70 65M15 65D07 35R11 PDFBibTeX XMLCite \textit{M. M. A. Khater} et al., Math. Methods Appl. Sci. 44, No. 6, 4598--4606 (2021; Zbl 1469.35196) Full Text: DOI
Abrahamsen, Dylan; Fornberg, Bengt On the infinite order limit of Hermite-based finite difference schemes. (English) Zbl 1484.65240 SIAM J. Numer. Anal. 59, No. 4, 1857-1874 (2021). MSC: 65M70 65M06 65T40 PDFBibTeX XMLCite \textit{D. Abrahamsen} and \textit{B. Fornberg}, SIAM J. Numer. Anal. 59, No. 4, 1857--1874 (2021; Zbl 1484.65240) Full Text: DOI
Liu, Changying; Wu, Xinyuan Continuous trigonometric collocation polynomial approximations with geometric and superconvergence analysis for efficiently solving semi-linear highly oscillatory hyperbolic systems. (English) Zbl 1471.65072 Calcolo 58, No. 1, Paper No. 6, 35 p. (2021). MSC: 65M70 65M12 PDFBibTeX XMLCite \textit{C. Liu} and \textit{X. Wu}, Calcolo 58, No. 1, Paper No. 6, 35 p. (2021; Zbl 1471.65072) Full Text: DOI
Safari, Farzaneh; Chen, Wen Numerical approximations for space-time fractional Burgers’ equations via a new semi-analytical method. (English) Zbl 1524.35713 Comput. Math. Appl. 96, 55-66 (2021). MSC: 35R11 65N35 65M70 34A08 35Q53 PDFBibTeX XMLCite \textit{F. Safari} and \textit{W. Chen}, Comput. Math. Appl. 96, 55--66 (2021; Zbl 1524.35713) Full Text: DOI
Li, Xue-Yang; Xiao, Ai-Guo Space-fractional diffusion equation with variable coefficients: well-posedness and Fourier pseudospectral approximation. (English) Zbl 1460.35376 J. Sci. Comput. 87, No. 1, Paper No. 28, 34 p. (2021). MSC: 35R11 35K20 65M12 65M70 65T40 PDFBibTeX XMLCite \textit{X.-Y. Li} and \textit{A.-G. Xiao}, J. Sci. Comput. 87, No. 1, Paper No. 28, 34 p. (2021; Zbl 1460.35376) Full Text: DOI
Steyer, Andrew; Kuether, Robert J. Convergence of the harmonic balance method for smooth Hilbert space valued differential-algebraic equations. arXiv:2111.12620 Preprint, arXiv:2111.12620 [math.NA] (2021). MSC: 65T40 65L80 65L60 65N30 65N35 BibTeX Cite \textit{A. Steyer} and \textit{R. J. Kuether}, ``Convergence of the harmonic balance method for smooth Hilbert space valued differential-algebraic equations'', Preprint, arXiv:2111.12620 [math.NA] (2021) Full Text: arXiv OA License
Yağmurlu, Nuri Murat; Karakaş, Ali Sercan Numerical solutions of the equal width equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization. (English) Zbl 07771432 Numer. Methods Partial Differ. Equations 36, No. 5, 1170-1183 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{N. M. Yağmurlu} and \textit{A. S. Karakaş}, Numer. Methods Partial Differ. Equations 36, No. 5, 1170--1183 (2020; Zbl 07771432) Full Text: DOI
Yaseen, Muhammad; Abbas, Muhammad An efficient computational technique based on cubic trigonometric B-splines for time fractional Burgers’ equation. (English) Zbl 1480.65298 Int. J. Comput. Math. 97, No. 3, 725-738 (2020). MSC: 65M70 35B35 35R11 65D05 65D07 PDFBibTeX XMLCite \textit{M. Yaseen} and \textit{M. Abbas}, Int. J. Comput. Math. 97, No. 3, 725--738 (2020; Zbl 1480.65298) Full Text: DOI arXiv
Yaseen, Muhammad; Abbas, Muhammad An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation. (English) Zbl 1474.65399 Appl. Math., Ser. B (Engl. Ed.) 35, No. 3, 359-378 (2020). MSC: 65M70 65Z05 65D05 65D07 35B35 26A33 35R11 65M12 65M06 PDFBibTeX XMLCite \textit{M. Yaseen} and \textit{M. Abbas}, Appl. Math., Ser. B (Engl. Ed.) 35, No. 3, 359--378 (2020; Zbl 1474.65399) Full Text: DOI
Shestopalov, Y. Trigonometric and cylindrical polynomials and their applications in electromagnetics. (English) Zbl 1480.42001 Appl. Anal. 99, No. 16, 2807-2822 (2020). MSC: 42A05 33B10 33C10 34B24 78M22 PDFBibTeX XMLCite \textit{Y. Shestopalov}, Appl. Anal. 99, No. 16, 2807--2822 (2020; Zbl 1480.42001) Full Text: DOI
Coclite, G. M.; Fanizzi, A.; Lopez, L.; Maddalena, F.; Pellegrino, S. F. Numerical methods for the nonlocal wave equation of the peridynamics. (English) Zbl 1436.65195 Appl. Numer. Math. 155, 119-139 (2020). MSC: 65N35 65D30 65L06 35R09 45K05 74B10 35Q74 PDFBibTeX XMLCite \textit{G. M. Coclite} et al., Appl. Numer. Math. 155, 119--139 (2020; Zbl 1436.65195) Full Text: DOI arXiv
Rehman, Sumaira; Pedas, Arvet; Vainikko, Gennadi A quasi-fast solver for weakly singular integral equations of the second kind. (English) Zbl 1487.65201 Numer. Funct. Anal. Optim. 41, No. 7, 850-870 (2020). Reviewer: Ilia V. Boikov (Penza) MSC: 65R20 45B05 45E10 PDFBibTeX XMLCite \textit{S. Rehman} et al., Numer. Funct. Anal. Optim. 41, No. 7, 850--870 (2020; Zbl 1487.65201) Full Text: DOI
Berrut, Jean-Paul; Elefante, Giacomo A periodic map for linear barycentric rational trigonometric interpolation. (English) Zbl 1433.65015 Appl. Math. Comput. 371, Article ID 124924, 8 p. (2020). MSC: 65D05 65T40 65M70 42A15 PDFBibTeX XMLCite \textit{J.-P. Berrut} and \textit{G. Elefante}, Appl. Math. Comput. 371, Article ID 124924, 8 p. (2020; Zbl 1433.65015) Full Text: DOI Link
Mindrinos, Leonidas The electromagnetic scattering problem by a cylindrical doubly connected domain at oblique incidence: the direct problem. (English) Zbl 1475.78005 IMA J. Appl. Math. 84, No. 2, 292-311 (2019). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A45 35J25 65R20 78M22 65N35 PDFBibTeX XMLCite \textit{L. Mindrinos}, IMA J. Appl. Math. 84, No. 2, 292--311 (2019; Zbl 1475.78005) Full Text: DOI arXiv
Tok-Onarcan, Aysun; Adar, Nihat; Dag, Idiris Wave simulations of Gray-Scott reaction-diffusion system. (English) Zbl 1427.65137 Math. Methods Appl. Sci. 42, No. 16, 5566-5581 (2019). MSC: 65L60 35K57 42A10 65D07 PDFBibTeX XMLCite \textit{A. Tok-Onarcan} et al., Math. Methods Appl. Sci. 42, No. 16, 5566--5581 (2019; Zbl 1427.65137) Full Text: DOI
Tamsir, Mohammad; Dhiman, Neeraj Solution of convection diffusion equation via a collocation method based on modified cubic trigonometric B-splines. (English) Zbl 1431.65191 Nonlinear Stud. 26, No. 2, 303-311 (2019). MSC: 65M70 65M22 65D07 65F05 35Q35 PDFBibTeX XMLCite \textit{M. Tamsir} and \textit{N. Dhiman}, Nonlinear Stud. 26, No. 2, 303--311 (2019; Zbl 1431.65191) Full Text: Link
Alinia, N.; Zarebnia, M. A numerical algorithm based on a new kind of tension B-spline function for solving Burgers-Huxley equation. (English) Zbl 1432.65154 Numer. Algorithms 82, No. 4, 1121-1142 (2019). MSC: 65M70 35Q53 41A15 65M12 PDFBibTeX XMLCite \textit{N. Alinia} and \textit{M. Zarebnia}, Numer. Algorithms 82, No. 4, 1121--1142 (2019; Zbl 1432.65154) Full Text: DOI
Suzuki, Yuya; Suryanarayana, Gowri; Nuyens, Dirk Strang splitting in combination with rank-1 and rank-\(r\) lattices for the time-dependent Schrödinger equation. (English) Zbl 1473.65245 SIAM J. Sci. Comput. 41, No. 6, B1254-B1283 (2019). MSC: 65M70 65M15 65M12 65T40 35Q41 PDFBibTeX XMLCite \textit{Y. Suzuki} et al., SIAM J. Sci. Comput. 41, No. 6, B1254--B1283 (2019; Zbl 1473.65245) Full Text: DOI arXiv
Cheng, Kelong; Qiao, Zhonghua; Wang, Cheng A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability. (English) Zbl 1427.65148 J. Sci. Comput. 81, No. 1, 154-185 (2019). MSC: 65M06 35J35 35K35 35K55 65L06 65M12 65M70 65T40 PDFBibTeX XMLCite \textit{K. Cheng} et al., J. Sci. Comput. 81, No. 1, 154--185 (2019; Zbl 1427.65148) Full Text: DOI arXiv
El-Sayed, Adel A.; Agarwal, Praveen Numerical solution of multiterm variable-order fractional differential equations via shifted Legendre polynomials. (English) Zbl 1425.65124 Math. Methods Appl. Sci. 42, No. 11, 3978-3991 (2019). MSC: 65M70 42A05 42A10 42C05 34A08 PDFBibTeX XMLCite \textit{A. A. El-Sayed} and \textit{P. Agarwal}, Math. Methods Appl. Sci. 42, No. 11, 3978--3991 (2019; Zbl 1425.65124) Full Text: DOI
Jiwari, Ram; Pandit, Sapna; Koksal, Mehmet Emir A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems. (English) Zbl 1438.65251 Comput. Appl. Math. 38, No. 3, Paper No. 140, 22 p. (2019). MSC: 65M70 35K55 65D07 65L06 PDFBibTeX XMLCite \textit{R. Jiwari} et al., Comput. Appl. Math. 38, No. 3, Paper No. 140, 22 p. (2019; Zbl 1438.65251) Full Text: DOI
Bazán, Fermin S. V.; Quiroz, J. R. Galerkin approach for estimating boundary data in Poisson equation on annular domain with application to heat transfer coefficient estimation in coiled tubes. (English) Zbl 1433.65319 Numer. Algorithms 81, No. 1, 79-98 (2019). Reviewer: Robert Plato (Siegen) MSC: 65N35 65N30 65N21 65N20 65F22 80A19 35J05 65F20 15A18 PDFBibTeX XMLCite \textit{F. S. V. Bazán} and \textit{J. R. Quiroz}, Numer. Algorithms 81, No. 1, 79--98 (2019; Zbl 1433.65319) Full Text: DOI
Rehman, Sumaira; Pedas, Arvet; Vainikko, Gennadi Fast solvers of weakly singular integral equations of the second kind. (English) Zbl 1488.65755 Math. Model. Anal. 23, No. 4, 639-664 (2018). MSC: 65R20 45B05 45E10 PDFBibTeX XMLCite \textit{S. Rehman} et al., Math. Model. Anal. 23, No. 4, 639--664 (2018; Zbl 1488.65755) Full Text: DOI
Raslan, Kamal R.; Ramadan, Mohamed A.; Shaalan, M. A. Theoretical and numerical studies of two point boundary value problems using trigonometric and exponential cubic b-splines. (English) Zbl 1435.65111 J. Egypt. Math. Soc. 26, 259-268 (2018). MSC: 65L10 65L60 41A15 41A25 65D07 PDFBibTeX XMLCite \textit{K. R. Raslan} et al., J. Egypt. Math. Soc. 26, 259--268 (2018; Zbl 1435.65111) Full Text: DOI
Agheli, Bahram Approximate solution for solving fractional Riccati differential equations via trigonometric basic functions. (English) Zbl 1416.65226 Trans. A. Razmadze Math. Inst. 172, No. 3, Part A, 299-308 (2018). MSC: 65L60 34A08 34A45 PDFBibTeX XMLCite \textit{B. Agheli}, Trans. A. Razmadze Math. Inst. 172, No. 3, Part A, 299--308 (2018; Zbl 1416.65226) Full Text: DOI
Onarcan, Aysun Tok; Adar, Nihat; Dag, Idiris Trigonometric cubic B-spline collocation algorithm for numerical solutions of reaction-diffusion equation systems. (English) Zbl 1413.65306 Comput. Appl. Math. 37, No. 5, 6848-6869 (2018). MSC: 65L60 35K57 42A10 65D07 PDFBibTeX XMLCite \textit{A. T. Onarcan} et al., Comput. Appl. Math. 37, No. 5, 6848--6869 (2018; Zbl 1413.65306) Full Text: DOI
Alinia, N.; Zarebnia, M. A new tension B-spline method for third-order self-adjoint singularly perturbed boundary value problems. (English) Zbl 1466.65052 J. Comput. Appl. Math. 342, 521-533 (2018). MSC: 65L60 65L10 65L11 PDFBibTeX XMLCite \textit{N. Alinia} and \textit{M. Zarebnia}, J. Comput. Appl. Math. 342, 521--533 (2018; Zbl 1466.65052) Full Text: DOI
Li, Xin; Zhang, Luming Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher-Kolmogorov equation. (English) Zbl 1462.65163 Appl. Numer. Math. 131, 39-53 (2018). MSC: 65M70 65M06 65N35 65M15 35Q92 PDFBibTeX XMLCite \textit{X. Li} and \textit{L. Zhang}, Appl. Numer. Math. 131, 39--53 (2018; Zbl 1462.65163) Full Text: DOI
Zhang, Sheng; Hong, Siyu Variable separation method for a nonlinear time fractional partial differential equation with forcing term. (English) Zbl 1524.35569 J. Comput. Appl. Math. 339, 297-305 (2018). MSC: 35Q53 35R11 35C05 65M70 26A33 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{S. Hong}, J. Comput. Appl. Math. 339, 297--305 (2018; Zbl 1524.35569) Full Text: DOI
Tian, Zhaolu; Li, Xinxiang; Fan, C. M.; Chen, C. S. The method of particular solutions using trigonometric basis functions. (English) Zbl 1524.65900 J. Comput. Appl. Math. 335, 20-32 (2018). MSC: 65N35 35J25 65N80 65T40 PDFBibTeX XMLCite \textit{Z. Tian} et al., J. Comput. Appl. Math. 335, 20--32 (2018; Zbl 1524.65900) Full Text: DOI Link
Castelli, Roberto; Gameiro, Marcio; Lessard, Jean-Philippe Rigorous numerics for ill-posed PDEs: periodic orbits in the Boussinesq equation. (English) Zbl 1390.35262 Arch. Ration. Mech. Anal. 228, No. 1, 129-157 (2018). MSC: 35Q35 76B15 35R25 35B10 42A63 65M70 PDFBibTeX XMLCite \textit{R. Castelli} et al., Arch. Ration. Mech. Anal. 228, No. 1, 129--157 (2018; Zbl 1390.35262) Full Text: DOI arXiv
Ehigie, J. O.; Jator, S. N.; Okunuga, S. A. A continuous Runge-Kutta-Nyström collocation method with trigonometric coefficients for periodic initial value problems. (English) Zbl 1474.65211 J. Niger. Math. Soc. 36, No. 1, 139-162 (2017). MSC: 65L05 65L06 65L60 PDFBibTeX XMLCite \textit{J. O. Ehigie} et al., J. Niger. Math. Soc. 36, No. 1, 139--162 (2017; Zbl 1474.65211) Full Text: Link
Nazir, Tahir; Abbas, Muhammad; Yaseen, Muhammad Numerical solution of second-order hyperbolic telegraph equation via new cubic trigonometric B-splines approach. (English) Zbl 1427.65295 Cogent Math. 4, Article ID 1382061, 17 p. (2017). MSC: 65M70 65D07 65M06 65M12 74S20 PDFBibTeX XMLCite \textit{T. Nazir} et al., Cogent Math. 4, Article ID 1382061, 17 p. (2017; Zbl 1427.65295) Full Text: DOI arXiv
Yaseen, Muhammad; Abbas, Muhammad; Ismail, Ahmad Izani; Nazir, Tahir A cubic trigonometric B-spline collocation approach for the fractional sub-diffusion equations. (English) Zbl 1411.65140 Appl. Math. Comput. 293, 311-319 (2017). MSC: 65M70 35R11 65D07 PDFBibTeX XMLCite \textit{M. Yaseen} et al., Appl. Math. Comput. 293, 311--319 (2017; Zbl 1411.65140) Full Text: DOI
Wu, Beibei; Yin, Junfeng; Jin, Meng Cubic trigonometric B-spline collocation method for Black-Scholes model. (Chinese. English summary) Zbl 1399.65052 J. Sichuan Univ., Nat. Sci. Ed. 54, No. 6, 1153-1158 (2017). MSC: 65D07 65M70 91B25 PDFBibTeX XMLCite \textit{B. Wu} et al., J. Sichuan Univ., Nat. Sci. Ed. 54, No. 6, 1153--1158 (2017; Zbl 1399.65052) Full Text: DOI
Cui, Na; Huang, Wei A second order accurate mixed Chebyshev-Legendre-spherical harmonic pseudospectral method for Allen-Cahn equation. (Chinese. English summary) Zbl 1399.65347 Commun. Appl. Math. Comput. 31, No. 4, 454-461 (2017). MSC: 65N35 65M06 41A05 42A15 PDFBibTeX XMLCite \textit{N. Cui} and \textit{W. Huang}, Commun. Appl. Math. Comput. 31, No. 4, 454--461 (2017; Zbl 1399.65347) Full Text: DOI
Yi, Miao; Liu, Yang Numerical methods for solving inverse boundary value problem of partial differential equation. (Chinese. English summary) Zbl 1399.65317 J. Math., Wuhan Univ. 37, No. 5, 1040-1046 (2017). MSC: 65N21 65R32 65F22 65D05 65N35 65R20 PDFBibTeX XMLCite \textit{M. Yi} and \textit{Y. Liu}, J. Math., Wuhan Univ. 37, No. 5, 1040--1046 (2017; Zbl 1399.65317) Full Text: DOI
Ehigie, J. O.; Jator, S. N.; Okunuga, S. A. A multi-point numerical integrator with trigonometric coefficients for initial value problems with periodic solutions. (Russian, English) Zbl 1413.65301 Sib. Zh. Vychisl. Mat. 20, No. 3, 329-344 (2017); translation in Numer. Analysis Appl. 10, No. 3, 272-286 (2017). MSC: 65L60 65L05 34A34 PDFBibTeX XMLCite \textit{J. O. Ehigie} et al., Sib. Zh. Vychisl. Mat. 20, No. 3, 329--344 (2017; Zbl 1413.65301); translation in Numer. Analysis Appl. 10, No. 3, 272--286 (2017) Full Text: DOI
Benner, Peter; Denißen, Jonas; Kohaupt, Ludwig Trigonometric spline and spectral bounds for the solution of linear time-periodic systems. (English) Zbl 1385.65045 J. Appl. Math. Comput. 54, No. 1-2, 127-157 (2017). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 65L05 65D07 93C05 65K10 65L60 34A30 65L70 PDFBibTeX XMLCite \textit{P. Benner} et al., J. Appl. Math. Comput. 54, No. 1--2, 127--157 (2017; Zbl 1385.65045) Full Text: DOI
Zahra, W. K. Trigonometric B-spline collocation method for solving PHI-four and Allen-Cahn equations. (English) Zbl 1377.65138 Mediterr. J. Math. 14, No. 3, Paper No. 122, 19 p. (2017). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 65M12 35Q35 PDFBibTeX XMLCite \textit{W. K. Zahra}, Mediterr. J. Math. 14, No. 3, Paper No. 122, 19 p. (2017; Zbl 1377.65138) Full Text: DOI
Gauckler, Ludwig; Weiss, Daniel Metastable energy strata in numerical discretizations of weakly nonlinear wave equations. (English) Zbl 1360.65299 Discrete Contin. Dyn. Syst. 37, No. 7, 3721-3747 (2017). MSC: 65P10 65P40 65M70 35L05 PDFBibTeX XMLCite \textit{L. Gauckler} and \textit{D. Weiss}, Discrete Contin. Dyn. Syst. 37, No. 7, 3721--3747 (2017; Zbl 1360.65299) Full Text: DOI arXiv
Roman, Fabio; Manni, Carla; Speleers, Hendrik Spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness. (English) Zbl 1361.65049 Numer. Math. 135, No. 1, 169-216 (2017). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 65L10 15A18 15B05 65L60 34B05 PDFBibTeX XMLCite \textit{F. Roman} et al., Numer. Math. 135, No. 1, 169--216 (2017; Zbl 1361.65049) Full Text: DOI Link
Long, Guangqing; Li, Pailing A fast trigonometric collocation method for some elliptic pseudodifferential equations. (English) Zbl 1353.65128 J. Comput. Appl. Math. 313, 294-306 (2017). MSC: 65N35 35J99 65N12 65N38 PDFBibTeX XMLCite \textit{G. Long} and \textit{P. Li}, J. Comput. Appl. Math. 313, 294--306 (2017; Zbl 1353.65128) Full Text: DOI
Wang, Bin; Wu, Xinyuan; Meng, Fanwei Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations. (English) Zbl 1353.65074 J. Comput. Appl. Math. 313, 185-201 (2017). MSC: 65L05 65L60 34A34 34C10 65L20 PDFBibTeX XMLCite \textit{B. Wang} et al., J. Comput. Appl. Math. 313, 185--201 (2017; Zbl 1353.65074) Full Text: DOI arXiv
Nazir, Tahir; Abbas, Muhammad; Ismail, Ahmad Izani Md.; Majid, Ahmad Abd.; Rashid, Abdur The numerical solution of advection-diffusion problems using new cubic trigonometric B-splines approach. (English) Zbl 1459.65201 Appl. Math. Modelling 40, No. 7-8, 4586-4611 (2016). MSC: 65M70 PDFBibTeX XMLCite \textit{T. Nazir} et al., Appl. Math. Modelling 40, No. 7--8, 4586--4611 (2016; Zbl 1459.65201) Full Text: DOI
Bao, Weizhu; Tang, Qinglin; Zhang, Yong Accurate and efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates via the nonuniform FFT. (English) Zbl 1388.65115 Commun. Comput. Phys. 19, No. 5, 1141-1166 (2016). MSC: 65M70 65T50 35Q40 35Q41 35Q55 65T40 PDFBibTeX XMLCite \textit{W. Bao} et al., Commun. Comput. Phys. 19, No. 5, 1141--1166 (2016; Zbl 1388.65115) Full Text: DOI arXiv
Martel, Jordan M.; Platte, Rodrigo B. Stability of radial basis function methods for convection problems on the circle and sphere. (English) Zbl 1368.65200 J. Sci. Comput. 69, No. 2, 487-505 (2016). MSC: 65M70 65M12 65T40 PDFBibTeX XMLCite \textit{J. M. Martel} and \textit{R. B. Platte}, J. Sci. Comput. 69, No. 2, 487--505 (2016; Zbl 1368.65200) Full Text: DOI
Bhrawy, A. H.; Zaky, M. A. Numerical algorithm for the variable-order Caputo fractional functional differential equation. (English) Zbl 1349.65505 Nonlinear Dyn. 85, No. 3, 1815-1823 (2016). MSC: 65M70 42A15 34A25 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{M. A. Zaky}, Nonlinear Dyn. 85, No. 3, 1815--1823 (2016; Zbl 1349.65505) Full Text: DOI
Isik, Osman Rasit; Turkoglu, Turgay A rational approximate solution for generalized pantograph-delay differential equations. (English) Zbl 1344.34079 Math. Methods Appl. Sci. 39, No. 8, 2011-2024 (2016). MSC: 34K28 42A20 34K06 PDFBibTeX XMLCite \textit{O. R. Isik} and \textit{T. Turkoglu}, Math. Methods Appl. Sci. 39, No. 8, 2011--2024 (2016; Zbl 1344.34079) Full Text: DOI
Dag, İ.; Irk, D.; Kaçmaz, Ö.; Adar, N. Trigonometric B-spline collocation algorithm for solving the RLW equation. (English) Zbl 1338.65230 Appl. Comput. Math. 15, No. 1, 96-105 (2016). MSC: 65M70 35L70 76B25 PDFBibTeX XMLCite \textit{İ. Dag} et al., Appl. Comput. Math. 15, No. 1, 96--105 (2016; Zbl 1338.65230) Full Text: Link
Wang, Bin; Iserles, Arieh; Wu, Xinyuan Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. (English) Zbl 1341.65029 Found. Comput. Math. 16, No. 1, 151-181 (2016). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L60 65L05 65L20 65P10 37M15 34C10 34A34 65L06 PDFBibTeX XMLCite \textit{B. Wang} et al., Found. Comput. Math. 16, No. 1, 151--181 (2016; Zbl 1341.65029) Full Text: DOI
Suryanarayana, Gowri; Nuyens, Dirk; Cools, Ronald Reconstruction and collocation of a class of non-periodic functions by sampling along tent-transformed rank-1 lattices. (English) Zbl 1373.65088 J. Fourier Anal. Appl. 22, No. 1, 187-214 (2016). Reviewer: Jiří Hrivnák (Praha) MSC: 65N75 65C05 65T40 35J05 65N35 65N12 PDFBibTeX XMLCite \textit{G. Suryanarayana} et al., J. Fourier Anal. Appl. 22, No. 1, 187--214 (2016; Zbl 1373.65088) Full Text: DOI Link
Vondřejc, Jaroslav; Zeman, Jan; Marek, Ivo Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method. (English) Zbl 1423.74806 Comput. Methods Appl. Mech. Eng. 297, 258-291 (2015). MSC: 74Q20 74S05 65N30 65N35 PDFBibTeX XMLCite \textit{J. Vondřejc} et al., Comput. Methods Appl. Mech. Eng. 297, 258--291 (2015; Zbl 1423.74806) Full Text: DOI arXiv
Gao, Wenwu; Wu, Zongmin Solving time-dependent differential equations by multiquadric trigonometric quasi-interpolation. (English) Zbl 1338.65205 Appl. Math. Comput. 253, 377-386 (2015). MSC: 65L60 PDFBibTeX XMLCite \textit{W. Gao} and \textit{Z. Wu}, Appl. Math. Comput. 253, 377--386 (2015; Zbl 1338.65205) Full Text: DOI
Kalis, Harijs; Kokainis, Mārtiņš; Gedroics, Aigars Finite difference schemes in a multi-point stencil and finite difference schemes with the exact spectrum for periodic boundary conditions. (English) Zbl 06538237 Int. J. Differ. Equ. Appl. 14, No. 2, 121-144 (2015). MSC: 65F15 65L10 65M06 65M22 65M70 PDFBibTeX XMLCite \textit{H. Kalis} et al., Int. J. Differ. Equ. Appl. 14, No. 2, 121--144 (2015; Zbl 06538237) Full Text: Link
Schneider, Matti Convergence of FFT-based homogenization for strongly heterogeneous media. (English) Zbl 1328.65256 Math. Methods Appl. Sci. 38, No. 13, 2761-2778 (2015). MSC: 65N35 65R20 65T40 74B05 PDFBibTeX XMLCite \textit{M. Schneider}, Math. Methods Appl. Sci. 38, No. 13, 2761--2778 (2015; Zbl 1328.65256) Full Text: DOI
Micula, Sanda; Wendland, Wolfgang L. Trigonometric collocation for nonlinear Riemann-Hilbert problems on doubly connected domains. (English) Zbl 1319.65127 IMA J. Numer. Anal. 35, No. 2, 834-858 (2015). Reviewer: Josef Kofroň (Praha) MSC: 65R20 65E05 45G05 PDFBibTeX XMLCite \textit{S. Micula} and \textit{W. L. Wendland}, IMA J. Numer. Anal. 35, No. 2, 834--858 (2015; Zbl 1319.65127) Full Text: DOI
Filbet, Francis; Pareschi, Lorenzo; Rey, Thomas On steady-state preserving spectral methods for homogeneous Boltzmann equations. (Sur des méthodes spectrales préservant les équilibres de l’équation de Boltzmann homogène.) (English. French summary) Zbl 1315.35139 C. R., Math., Acad. Sci. Paris 353, No. 4, 309-314 (2015). Reviewer: Ekaterina Balakina (Novosibirsk) MSC: 35Q20 65M70 42A10 65M60 PDFBibTeX XMLCite \textit{F. Filbet} et al., C. R., Math., Acad. Sci. Paris 353, No. 4, 309--314 (2015; Zbl 1315.35139) Full Text: DOI arXiv
Hosseini, S. Mohammed; Smaeili, Samira Numerical integration of multi-dimensional highly oscillatory integrals, based on eRPIM. (English) Zbl 1310.65027 Numer. Algorithms 68, No. 2, 423-442 (2015). MSC: 65D32 41A55 41A63 65T40 42B20 PDFBibTeX XMLCite \textit{S. M. Hosseini} and \textit{S. Smaeili}, Numer. Algorithms 68, No. 2, 423--442 (2015; Zbl 1310.65027) Full Text: DOI
Kunisch, Karl; Reiterer, Stefan H. A Gautschi time-stepping approach to optimal control of the wave equation. (English) Zbl 1326.65117 Appl. Numer. Math. 90, 55-76 (2015). MSC: 65M15 65M60 65M70 49M25 49K20 PDFBibTeX XMLCite \textit{K. Kunisch} and \textit{S. H. Reiterer}, Appl. Numer. Math. 90, 55--76 (2015; Zbl 1326.65117) Full Text: DOI Link
Dong, Xuanchun Stability and convergence of trigonometric integrator pseudospectral discretization for N-coupled nonlinear Klein-Gordon equations. (English) Zbl 1410.65392 Appl. Math. Comput. 232, 752-765 (2014). MSC: 65M70 65M12 35Q53 PDFBibTeX XMLCite \textit{X. Dong}, Appl. Math. Comput. 232, 752--765 (2014; Zbl 1410.65392) Full Text: DOI
Abbas, Muhammad; Majid, Ahmad Abd.; Ismail, Ahmad Izani Md.; Rashid, Abdur The application of cubic trigonometric B-spline to the numerical solution of the hyperbolic problems. (English) Zbl 1334.65163 Appl. Math. Comput. 239, 74-88 (2014). MSC: 65M70 65M12 PDFBibTeX XMLCite \textit{M. Abbas} et al., Appl. Math. Comput. 239, 74--88 (2014; Zbl 1334.65163) Full Text: DOI
Sytnyk, D. O. Effective using of the previously calculated data in the scheme of iterative sine approximations. (Ukrainian. English summary) Zbl 1340.65336 Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 4, 266-279 (2014). MSC: 65T40 42A10 PDFBibTeX XMLCite \textit{D. O. Sytnyk}, Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 4, 266--279 (2014; Zbl 1340.65336)
Agachev, J. R.; Galimyanov, A. F. About the convergence of the general projection polynomial method for a class of periodic fractional-integral equations. (English) Zbl 1317.65250 Lobachevskii J. Math. 35, No. 3, 211-217 (2014). Reviewer: Alexandru Mihai Bica (Oradea) MSC: 65R20 45N05 45G10 45M15 PDFBibTeX XMLCite \textit{J. R. Agachev} and \textit{A. F. Galimyanov}, Lobachevskii J. Math. 35, No. 3, 211--217 (2014; Zbl 1317.65250) Full Text: DOI
Lechleiter, Armin; Nguyen, Dinh-Liem A trigonometric Galerkin method for volume integral equations arising in TM grating scattering. (English) Zbl 1304.78010 Adv. Comput. Math. 40, No. 1, 1-25 (2014). MSC: 78A45 65R20 65N35 65T40 65T50 78M22 PDFBibTeX XMLCite \textit{A. Lechleiter} and \textit{D.-L. Nguyen}, Adv. Comput. Math. 40, No. 1, 1--25 (2014; Zbl 1304.78010) Full Text: DOI arXiv
Bao, Weizhu; Jian, Huaiyu; Mauser, Norbert J.; Zhang, Yong Dimension reduction of the Schrödinger equation with Coulomb and anisotropic confining potentials. (English) Zbl 1294.35130 SIAM J. Appl. Math. 73, No. 6, 2100-2123 (2013). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 65N35 65T40 65T50 81-08 PDFBibTeX XMLCite \textit{W. Bao} et al., SIAM J. Appl. Math. 73, No. 6, 2100--2123 (2013; Zbl 1294.35130) Full Text: DOI
Li, Huiyuan; Qiao, Haijun Hexagonal Fourier spectral methods. (Chinese. English summary) Zbl 1289.65264 Commun. Appl. Math. Comput. 27, No. 1, 147-162 (2013). MSC: 65N35 65T50 65T40 35J25 65N12 PDFBibTeX XMLCite \textit{H. Li} and \textit{H. Qiao}, Commun. Appl. Math. Comput. 27, No. 1, 147--162 (2013; Zbl 1289.65264) Full Text: DOI
Ware, Antony Accurate semi-Lagrangian time stepping for stochastic optimal control problems with application to the valuation of natural gas storage. (English) Zbl 1282.65175 SIAM J. Financ. Math. 4, 427-451 (2013). MSC: 65T40 65M70 65M25 65M12 93E20 49L25 91G80 PDFBibTeX XMLCite \textit{A. Ware}, SIAM J. Financ. Math. 4, 427--451 (2013; Zbl 1282.65175) Full Text: DOI
Boubendir, Yassine; Turc, Catalin Wave-number estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions. (English) Zbl 1284.65177 IMA J. Numer. Anal. 33, No. 4, 1176-1225 (2013). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N38 35J05 65N12 76Q05 76M15 PDFBibTeX XMLCite \textit{Y. Boubendir} and \textit{C. Turc}, IMA J. Numer. Anal. 33, No. 4, 1176--1225 (2013; Zbl 1284.65177) Full Text: DOI arXiv