Liu, Xinfei; Yang, Xiaoyuan Conforming finite element method for the time-fractional nonlinear stochastic fourth-order reaction diffusion equation. (English) Zbl 07777373 Numer. Methods Partial Differ. Equations 39, No. 5, 3657-3676 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 33E12 60J65 60G55 26A33 35R11 35R60 PDFBibTeX XMLCite \textit{X. Liu} and \textit{X. Yang}, Numer. Methods Partial Differ. Equations 39, No. 5, 3657--3676 (2023; Zbl 07777373) Full Text: DOI
Savaş, Ekrem; Mursaleen, Mohammad Bézier type Kantorovich \(q\)-Baskakov operators via wavelets and some approximation properties. (English) Zbl 07769096 Bull. Iran. Math. Soc. 49, No. 5, Paper No. 68, 14 p. (2023). MSC: 41A36 41A25 33C45 PDFBibTeX XMLCite \textit{E. Savaş} and \textit{M. Mursaleen}, Bull. Iran. Math. Soc. 49, No. 5, Paper No. 68, 14 p. (2023; Zbl 07769096) Full Text: DOI
Hagstrom, Thomas; Kim, Seungil Complete radiation boundary conditions for the Helmholtz equation. II: Domains with corners. (English) Zbl 1519.65054 Numer. Math. 153, No. 4, 775-825 (2023). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65N30 65N12 65N15 74J20 78A45 78A50 78A40 35B40 35P20 35J05 35A01 35A02 33E05 PDFBibTeX XMLCite \textit{T. Hagstrom} and \textit{S. Kim}, Numer. Math. 153, No. 4, 775--825 (2023; Zbl 1519.65054) Full Text: DOI
Petrov, Miroslav S.; Todorov, Todor D. Isoparametric numerical integration on enriched 4D simplicial elements. (English) Zbl 1498.65206 Appl. Numer. Math. 183, 221-235 (2023). MSC: 65N30 65N15 65N25 65D32 33C10 PDFBibTeX XMLCite \textit{M. S. Petrov} and \textit{T. D. Todorov}, Appl. Numer. Math. 183, 221--235 (2023; Zbl 1498.65206) Full Text: DOI
Chou, Tom; Shao, Sihong; Xia, Mingtao Adaptive Hermite spectral methods in unbounded domains. (English) Zbl 1500.65083 Appl. Numer. Math. 183, 201-220 (2023). MSC: 65M70 65M50 65D32 65M15 41A58 33C45 35P05 PDFBibTeX XMLCite \textit{T. Chou} et al., Appl. Numer. Math. 183, 201--220 (2023; Zbl 1500.65083) Full Text: DOI arXiv
Wang, Fangyuan; Zhou, Zhaojie Spectral Galerkin method for state constrained optimal control of fractional advection-diffusion-reaction equations. (English) Zbl 07778306 Numer. Methods Partial Differ. Equations 38, No. 5, 1526-1542 (2022). MSC: 65N35 65N30 49M41 35B45 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{F. Wang} and \textit{Z. Zhou}, Numer. Methods Partial Differ. Equations 38, No. 5, 1526--1542 (2022; Zbl 07778306) Full Text: DOI
Tian, Liutao; Jiao, Yujian Modified Legendre rational spectral method for Burgers equation on the whole line. (English) Zbl 07663591 J. Math. Study 55, No. 4, 415-431 (2022). MSC: 65M70 41A30 76M22 33C45 65M12 PDFBibTeX XMLCite \textit{L. Tian} and \textit{Y. Jiao}, J. Math. Study 55, No. 4, 415--431 (2022; Zbl 07663591) Full Text: DOI
Cohen, David; Lang, Annika Numerical approximation and simulation of the stochastic wave equation on the sphere. (English) Zbl 1492.65019 Calcolo 59, No. 3, Paper No. 32, 32 p. (2022). MSC: 65C30 35R60 33C55 41A25 60H15 60H35 60G60 60G15 PDFBibTeX XMLCite \textit{D. Cohen} and \textit{A. Lang}, Calcolo 59, No. 3, Paper No. 32, 32 p. (2022; Zbl 1492.65019) Full Text: DOI arXiv
Bakry, Dominique; Orevkov, Stepan; Zani, Marguerite Orthogonal polynomials and diffusion operators. (English) Zbl 1516.33007 Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 5, 985-1073 (2022). MSC: 33C45 35J05 42C05 PDFBibTeX XMLCite \textit{D. Bakry} et al., Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 5, 985--1073 (2022; Zbl 1516.33007) Full Text: DOI arXiv
Mohamed, Amany Saad Shifted Jacobi collocation method for Volterra-Fredholm integral equation. (English) Zbl 1499.65761 Comput. Methods Differ. Equ. 10, No. 2, 408-418 (2022). MSC: 65R20 65M70 33C45 41A25 PDFBibTeX XMLCite \textit{A. S. Mohamed}, Comput. Methods Differ. Equ. 10, No. 2, 408--418 (2022; Zbl 1499.65761) Full Text: DOI
Li, Shan; Wu, Jinju; Wang, Zhongqing Sobolev orthogonal Legendre rational spectral methods for exterior problems. (English) Zbl 1499.65701 Int. J. Comput. Math. 99, No. 2, 370-390 (2022). MSC: 65N35 41A20 33C45 35J25 35K10 PDFBibTeX XMLCite \textit{S. Li} et al., Int. J. Comput. Math. 99, No. 2, 370--390 (2022; Zbl 1499.65701) Full Text: DOI
Wang, Tian-jun; Chai, Guo A fully discrete pseudospectral method for the nonlinear Fokker-Planck equations on the whole line. (English) Zbl 1484.65275 Appl. Numer. Math. 174, 17-33 (2022). MSC: 65M70 65M06 65N35 65M12 33C45 82C31 65M15 PDFBibTeX XMLCite \textit{T.-j. Wang} and \textit{G. Chai}, Appl. Numer. Math. 174, 17--33 (2022; Zbl 1484.65275) Full Text: DOI
Yang, Yin; Deng, Guoting; Tohidi, Emran High accurate convergent spectral Galerkin methods for nonlinear weakly singular Volterra integro-differential equations. (English) Zbl 1476.33008 Comput. Appl. Math. 40, No. 4, Paper No. 118, 32 p. (2021). MSC: 33C45 65B99 65L20 42C10 PDFBibTeX XMLCite \textit{Y. Yang} et al., Comput. Appl. Math. 40, No. 4, Paper No. 118, 32 p. (2021; Zbl 1476.33008) Full Text: DOI
Yu, Xuhong; Li, Long; Wang, Zhongqing Efficient space-time Legendre rational spectral method for parabolic problems in unbounded domains. (English) Zbl 1501.65082 Appl. Numer. Math. 170, 39-54 (2021). MSC: 65M70 65M60 41A20 33C45 PDFBibTeX XMLCite \textit{X. Yu} et al., Appl. Numer. Math. 170, 39--54 (2021; Zbl 1501.65082) Full Text: DOI
Gu, Dong-qin; Wang, Zhong-qing Orthogonal Jacobi rational functions and spectral methods on the half line. (English) Zbl 1477.65255 J. Sci. Comput. 88, No. 1, Paper No. 17, 27 p. (2021). MSC: 65N35 65N12 65N15 41A20 35J15 33C47 PDFBibTeX XMLCite \textit{D.-q. Gu} and \textit{Z.-q. Wang}, J. Sci. Comput. 88, No. 1, Paper No. 17, 27 p. (2021; Zbl 1477.65255) Full Text: DOI
Wibisono, Indra; Yanuar; Kosasih, Engkos A. Fifth-order Hermite targeted essentially non-oscillatory schemes for hyperbolic conservation laws. (English) Zbl 1465.65087 J. Sci. Comput. 87, No. 3, Paper No. 69, 23 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65L06 35L65 33C45 PDFBibTeX XMLCite \textit{I. Wibisono} et al., J. Sci. Comput. 87, No. 3, Paper No. 69, 23 p. (2021; Zbl 1465.65087) Full Text: DOI
Tang, Zhuyan; Tohidi, Emran; He, Fuli Generalized mapped nodal Laguerre spectral collocation method for Volterra delay integro-differential equations with noncompact kernels. (English) Zbl 1476.34045 Comput. Appl. Math. 39, No. 4, Paper No. 298, 22 p. (2020). MSC: 34A12 74S25 65L60 65L70 33C45 65B99 PDFBibTeX XMLCite \textit{Z. Tang} et al., Comput. Appl. Math. 39, No. 4, Paper No. 298, 22 p. (2020; Zbl 1476.34045) Full Text: DOI
Chabassier, Juliette; Diaz, Julien; Imperiale, Sébastien Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations. (English) Zbl 1437.65091 ESAIM, Math. Model. Numer. Anal. 54, No. 3, 845-878 (2020). MSC: 65M06 65M60 65M12 65M15 35L05 33C55 PDFBibTeX XMLCite \textit{J. Chabassier} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 3, 845--878 (2020; Zbl 1437.65091) Full Text: DOI HAL
Petković, I.; Herceg, Đ. Computer methodologies for comparison of computational efficiency of simultaneous methods for finding polynomial zeros. (English) Zbl 1431.65069 J. Comput. Appl. Math. 368, Article ID 112513, 19 p. (2020). MSC: 65H05 65D18 68W40 33F05 PDFBibTeX XMLCite \textit{I. Petković} and \textit{Đ. Herceg}, J. Comput. Appl. Math. 368, Article ID 112513, 19 p. (2020; Zbl 1431.65069) Full Text: DOI
Yu, Xuhong; Wang, Zhongqing; Li, Huiyuan Jacobi-Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems. (English) Zbl 1449.33014 Commun. Appl. Math. Comput. 1, No. 2, 283-308 (2019). MSC: 33C45 35J25 65N15 65N35 PDFBibTeX XMLCite \textit{X. Yu} et al., Commun. Appl. Math. Comput. 1, No. 2, 283--308 (2019; Zbl 1449.33014) Full Text: DOI
Zhang, Chao; Wang, Tian-jun Pseudospectral method for non-isotropic heat transfer using mixed Hermite-Legendre interpolation. (English) Zbl 1429.65288 Appl. Math. Comput. 343, 328-341 (2019). MSC: 65N35 33C45 35K15 35K20 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{T.-j. Wang}, Appl. Math. Comput. 343, 328--341 (2019; Zbl 1429.65288) Full Text: DOI
Keßler, Torsten; Rjasanow, Sergej Fully conservative spectral Galerkin-Petrov method for the inhomogeneous Boltzmann equation. (English) Zbl 1421.82032 Kinet. Relat. Models 12, No. 3, 507-549 (2019). MSC: 82C80 82C40 65N35 33C45 35L04 65M08 PDFBibTeX XMLCite \textit{T. Keßler} and \textit{S. Rjasanow}, Kinet. Relat. Models 12, No. 3, 507--549 (2019; Zbl 1421.82032) Full Text: DOI
Hristov, Jordan Response functions in linear viscoelastic constitutive equations and related fractional operators. (English) Zbl 1462.35294 Math. Model. Nat. Phenom. 14, No. 3, Paper No. 305, 34 p. (2019). MSC: 35Q35 76A10 35Q74 74D05 35K05 26A33 40C10 33E12 35R11 82D60 PDFBibTeX XMLCite \textit{J. Hristov}, Math. Model. Nat. Phenom. 14, No. 3, Paper No. 305, 34 p. (2019; Zbl 1462.35294) Full Text: DOI Link
Parand, K.; Nikarya, M. A novel method to solve nonlinear Klein-Gordon equation arising in quantum field theory based on Bessel functions and Jacobian free Newton-Krylov sub-space methods. (English) Zbl 1514.65143 Commun. Theor. Phys. 69, No. 6, Article ID 637, 8 p. (2018). MSC: 65M70 35Q51 33C10 PDFBibTeX XMLCite \textit{K. Parand} and \textit{M. Nikarya}, Commun. Theor. Phys. 69, No. 6, Article ID 637, 8 p. (2018; Zbl 1514.65143) Full Text: DOI
Chai, Guo; Wang, Tian-jun Mixed generalized Hermite-Fourier spectral method for Fokker-Planck equation of periodic field. (English) Zbl 1397.65200 Appl. Numer. Math. 133, 25-40 (2018). MSC: 65M70 35Q84 82C31 33C45 PDFBibTeX XMLCite \textit{G. Chai} and \textit{T.-j. Wang}, Appl. Numer. Math. 133, 25--40 (2018; Zbl 1397.65200) Full Text: DOI
Wang, Bo; Wang, Li-Lian; Xie, Ziqing Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids. (English) Zbl 1391.78334 Adv. Comput. Math. 44, No. 3, 951-985 (2018). MSC: 78M22 74S25 74J20 78A40 33E10 35J05 65M70 65N35 PDFBibTeX XMLCite \textit{B. Wang} et al., Adv. Comput. Math. 44, No. 3, 951--985 (2018; Zbl 1391.78334) Full Text: DOI
Liu, Fu-Jun; Wang, Zhong-Qing; Li, Hui-Yuan A fully diagonalized spectral method using generalized Laguerre functions on the half line. (English) Zbl 1387.76077 Adv. Comput. Math. 43, No. 6, 1227-1259 (2017). MSC: 76M22 33C45 35J25 65L70 PDFBibTeX XMLCite \textit{F.-J. Liu} et al., Adv. Comput. Math. 43, No. 6, 1227--1259 (2017; Zbl 1387.76077) Full Text: DOI arXiv
Liu, Fu-jun; Li, Hui-yuan; Wang, Zhong-qing Spectral methods using generalized Laguerre functions for second and fourth order problems. (English) Zbl 1385.65048 Numer. Algorithms 75, No. 4, 1005-1040 (2017). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L10 33C45 65L60 65L70 34B05 65L20 65N35 35J25 PDFBibTeX XMLCite \textit{F.-j. Liu} et al., Numer. Algorithms 75, No. 4, 1005--1040 (2017; Zbl 1385.65048) Full Text: DOI
Wang, Tian-Jun; Zhang, Chao; Zhang, Qiong Mixed spectral method for heat transfer using generalised Hermite functions and Legendre polynomials. (English) Zbl 1499.80012 East Asian J. Appl. Math. 6, No. 4, 448-465 (2016). MSC: 80M22 33C45 35K20 PDFBibTeX XMLCite \textit{T.-J. Wang} et al., East Asian J. Appl. Math. 6, No. 4, 448--465 (2016; Zbl 1499.80012) Full Text: DOI
Foroutan, Mohammadreza; Ebadian, Ali; Najafzadeh, Shahram The use of generalized Laguerre functions for solving the equation of magnetohydydinamic flow due to a stretching cylinder. (English) Zbl 1369.35059 S\(\vec{\text{e}}\)MA J. 73, No. 4, 335-346 (2016). MSC: 35Q35 76W05 33C45 65N30 PDFBibTeX XMLCite \textit{M. Foroutan} et al., S\(\vec{\text{e}}\)MA J. 73, No. 4, 335--346 (2016; Zbl 1369.35059) Full Text: DOI
Aydin, Ayhan An unconventional splitting for Korteweg de Vries-Burgers equation. (English) Zbl 1399.65146 Eur. J. Pure Appl. Math. 8, No. 1, 50-63 (2015). MSC: 65M06 35Q53 33F05 PDFBibTeX XMLCite \textit{A. Aydin}, Eur. J. Pure Appl. Math. 8, No. 1, 50--63 (2015; Zbl 1399.65146)
Wang, Li-Lian; Zhang, Jing; Zhang, Zhimin On \(hp\)-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme. (English) Zbl 1349.65255 J. Comput. Phys. 268, 377-398 (2014). MSC: 65L60 33E10 65D30 65L10 65L20 PDFBibTeX XMLCite \textit{L.-L. Wang} et al., J. Comput. Phys. 268, 377--398 (2014; Zbl 1349.65255) Full Text: DOI arXiv
Ding, Xiao-Li; Jiang, Yao-Lin Waveform relaxation method for fractional differential-algebraic equations. (English) Zbl 1305.26017 Fract. Calc. Appl. Anal. 17, No. 3, 585-604 (2014). MSC: 26A33 33E12 PDFBibTeX XMLCite \textit{X.-L. Ding} and \textit{Y.-L. Jiang}, Fract. Calc. Appl. Anal. 17, No. 3, 585--604 (2014; Zbl 1305.26017) Full Text: DOI
Xu, Ai-Min; Cen, Zhong-Di Some identities involving exponential functions and Stirling numbers and applications. (English) Zbl 1293.05011 J. Comput. Appl. Math. 260, 201-207 (2014). MSC: 05A19 11B68 11B73 26A24 33B10 PDFBibTeX XMLCite \textit{A.-M. Xu} and \textit{Z.-D. Cen}, J. Comput. Appl. Math. 260, 201--207 (2014; Zbl 1293.05011) Full Text: DOI
Bhrawy, Ali H.; Assas, Laila M.; Tohidi, Emran; Alghamdi, Mohammed A. A Legendre-Gauss collocation method for neutral functional-differential equations with proportional delays. (English) Zbl 1380.65116 Adv. Difference Equ. 2013, Paper No. 63, 16 p. (2013). MSC: 65L03 34K40 65L60 33C90 34K07 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Adv. Difference Equ. 2013, Paper No. 63, 16 p. (2013; Zbl 1380.65116) Full Text: DOI
Feng, Renzhong; Zhang, Yanan Piecewise bivariate Hermite interpolations for large sets of scattered data. (English) Zbl 1266.33011 J. Appl. Math. 2013, Article ID 239703, 10 p. (2013). MSC: 33C45 41A05 65D05 PDFBibTeX XMLCite \textit{R. Feng} and \textit{Y. Zhang}, J. Appl. Math. 2013, Article ID 239703, 10 p. (2013; Zbl 1266.33011) Full Text: DOI
Rezaei, A. R.; Shaban, M.; Parand, K. Numerical investigation on nano boundary layer equation with Navier boundary condition. (English) Zbl 1242.76222 Math. Methods Appl. Sci. 35, No. 8, 976-992 (2012). MSC: 76M22 65L60 33C45 PDFBibTeX XMLCite \textit{A. R. Rezaei} et al., Math. Methods Appl. Sci. 35, No. 8, 976--992 (2012; Zbl 1242.76222) Full Text: DOI
Xu, Aimin; Cen, Zhongdi A unified approach to some recurrence sequences via Faà di Bruno’s formula. (English) Zbl 1228.33003 Comput. Math. Appl. 62, No. 1, 253-260 (2011). MSC: 33C45 05A19 39A60 PDFBibTeX XMLCite \textit{A. Xu} and \textit{Z. Cen}, Comput. Math. Appl. 62, No. 1, 253--260 (2011; Zbl 1228.33003) Full Text: DOI
Du, Kui Two transparent boundary conditions for the electromagnetic scattering from two-dimensional overfilled cavities. (English) Zbl 1220.78044 J. Comput. Phys. 230, No. 15, 5822-5835 (2011). MSC: 78A45 33E10 PDFBibTeX XMLCite \textit{K. Du}, J. Comput. Phys. 230, No. 15, 5822--5835 (2011; Zbl 1220.78044) Full Text: DOI
Parand, K.; Taghavi, A. Rational scaled generalized Laguerre function collocation method for solving the Blasius equation. (English) Zbl 1259.65127 J. Comput. Appl. Math. 233, No. 4, 980-989 (2009). MSC: 65L60 33C45 34A34 PDFBibTeX XMLCite \textit{K. Parand} and \textit{A. Taghavi}, J. Comput. Appl. Math. 233, No. 4, 980--989 (2009; Zbl 1259.65127) 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
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian Generalized Jacobi polynomials/functions and their applications. (English) Zbl 1171.33006 Appl. Numer. Math. 59, No. 5, 1011-1028 (2009). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 35J05 42C05 65N22 PDFBibTeX XMLCite \textit{B.-Y. Guo} et al., Appl. Numer. Math. 59, No. 5, 1011--1028 (2009; Zbl 1171.33006) Full Text: DOI
Sun, JiaChang A new class of three-variable orthogonal polynomials and their recurrences relations. (English) Zbl 1168.42013 Sci. China, Ser. A 51, No. 6, 1071-1092 (2008). Reviewer: Qutaibeh Katatbeh (Irbid) MSC: 42C05 33C45 47F05 35P10 PDFBibTeX XMLCite \textit{J. Sun}, Sci. China, Ser. A 51, No. 6, 1071--1092 (2008; Zbl 1168.42013) Full Text: DOI
Chui, Charles K.; He, Tian-Xiao; Jiang, Qingtang Fourier transform of Bernstein–Bézier polynomials. (English) Zbl 1166.42004 J. Math. Anal. Appl. 325, No. 1, 294-304 (2007). Reviewer: Lizhong Peng (Beijing) MSC: 42A38 33C15 PDFBibTeX XMLCite \textit{C. K. Chui} et al., J. Math. Anal. Appl. 325, No. 1, 294--304 (2007; Zbl 1166.42004) Full Text: DOI
Guo, Benyu; Zhang, Xiaoyong A new generalized Laguerre spectral approximation and its applications. (English) Zbl 1072.65155 J. Comput. Appl. Math. 181, No. 2, 342-363 (2005). Reviewer: Emil Minchev (Tokyo) MSC: 65N35 35J25 33C45 65D20 PDFBibTeX XMLCite \textit{B. Guo} and \textit{X. Zhang}, J. Comput. Appl. Math. 181, No. 2, 342--363 (2005; Zbl 1072.65155) Full Text: DOI