Etter, Philip A.; Fan, Yuwei; Ying, Lexing Coarse-proxy reduced basis methods for integral equations. (English) Zbl 07649259 J. Comput. Phys. 475, Article ID 111835, 21 p. (2023). MSC: 65Nxx 65Rxx 78Axx PDF BibTeX XML Cite \textit{P. A. Etter} et al., J. Comput. Phys. 475, Article ID 111835, 21 p. (2023; Zbl 07649259) Full Text: DOI arXiv OpenURL
Wei, Qi; Xiang, Jiawei Two-dimensional boundary element method using interval B-spine wavelet. (English) Zbl 07633863 Int. J. Comput. Methods 19, No. 6, Article ID 2141011, 23 p. (2022). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{Q. Wei} and \textit{J. Xiang}, Int. J. Comput. Methods 19, No. 6, Article ID 2141011, 23 p. (2022; Zbl 07633863) Full Text: DOI OpenURL
Wei, Qi; Ma, Xingfu; Xiang, Jiawei Band structure analysis of two-dimensional photonic crystals using the wavelet-based boundary element method. (English) Zbl 07439995 Eng. Anal. Bound. Elem. 134, 1-10 (2022). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{Q. Wei} et al., Eng. Anal. Bound. Elem. 134, 1--10 (2022; Zbl 07439995) Full Text: DOI OpenURL
He, Yanfei; Zhang, Xingwu; Zhang, Tao; Wang, Chenxi; Geng, Jia; Chen, Xuefeng A wavelet immersed boundary method for two-variable coupled fluid-structure interactions. (English) Zbl 07424152 Appl. Math. Comput. 405, Article ID 126243, 20 p. (2021). MSC: 74Fxx 76Dxx 76Mxx PDF BibTeX XML Cite \textit{Y. He} et al., Appl. Math. Comput. 405, Article ID 126243, 20 p. (2021; Zbl 07424152) Full Text: DOI OpenURL
Kaur, Navjot; Goyal, Kavita Uncertainty quantification of stochastic epidemic SIR models using B-spline polynomial chaos. (English) Zbl 1471.92320 Regul. Chaotic Dyn. 26, No. 1, 22-38 (2021). MSC: 92D30 34F05 60H10 PDF BibTeX XML Cite \textit{N. Kaur} and \textit{K. Goyal}, Regul. Chaotic Dyn. 26, No. 1, 22--38 (2021; Zbl 1471.92320) Full Text: DOI OpenURL
Wei, Qi; Xiang, Jiawei B-spline wavelet boundary element method for three-dimensional problems. (English) Zbl 1486.74133 Acta Mech. 232, No. 8, 3233-3257 (2021). MSC: 74S15 74B05 65D07 PDF BibTeX XML Cite \textit{Q. Wei} and \textit{J. Xiang}, Acta Mech. 232, No. 8, 3233--3257 (2021; Zbl 1486.74133) Full Text: DOI OpenURL
Ashpazzadeh, E.; Han, B.; Lakestani, M.; Razzaghi, M. Derivative-orthogonal wavelets for discretizing constrained optimal control problems. (English) Zbl 1483.49004 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 5, 786-810 (2020). MSC: 49J05 49J21 PDF BibTeX XML Cite \textit{E. Ashpazzadeh} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 5, 786--810 (2020; Zbl 1483.49004) Full Text: DOI OpenURL
Jebreen, H. Bin On the multiwavelets Galerkin solution of the Volterra-Fredholm integral equations by an efficient algorithm. (English) Zbl 1489.65172 J. Math. 2020, Article ID 2672683, 10 p. (2020). MSC: 65R20 45D05 45B05 PDF BibTeX XML Cite \textit{H. B. Jebreen}, J. Math. 2020, Article ID 2672683, 10 p. (2020; Zbl 1489.65172) Full Text: DOI OpenURL
Saray, Behzad Nemati; Lakestani, Mehrdad On the sparse multi-scale solution of the delay differential equations by an efficient algorithm. (English) Zbl 07208688 Appl. Math. Comput. 381, Article ID 125291, 15 p. (2020). MSC: 00-XX PDF BibTeX XML Cite \textit{B. N. Saray} and \textit{M. Lakestani}, Appl. Math. Comput. 381, Article ID 125291, 15 p. (2020; Zbl 07208688) Full Text: DOI OpenURL
Kaur, Navjot; Goyal, Kavita Uncertainty propagation using Wiener-linear B-spline wavelet expansion. (English) Zbl 07185197 Comput. Math. Appl. 79, No. 9, 2598-2623 (2020). MSC: 65T60 65D07 PDF BibTeX XML Cite \textit{N. Kaur} and \textit{K. Goyal}, Comput. Math. Appl. 79, No. 9, 2598--2623 (2020; Zbl 07185197) Full Text: DOI OpenURL
Farhana binti Ismail, Noratiqah; Phang, Chang Numerical solution for a class of fractional variational problem via second order B-spline function. (English) Zbl 1454.49032 J. Indones. Math. Soc. 25, No. 3, 171-182 (2019). MSC: 49M05 49J40 45P05 PDF BibTeX XML Cite \textit{N. Farhana binti Ismail} and \textit{C. Phang}, J. Indones. Math. Soc. 25, No. 3, 171--182 (2019; Zbl 1454.49032) Full Text: DOI OpenURL
Vadlamani, Shashank; Arun, C. O. Construction of beam elements considering von Kármán nonlinear strains using B-spline wavelet on the interval. (English) Zbl 1481.65232 Appl. Math. Modelling 68, 675-695 (2019). MSC: 65N30 65D07 65T60 74K10 PDF BibTeX XML Cite \textit{S. Vadlamani} and \textit{C. O. Arun}, Appl. Math. Modelling 68, 675--695 (2019; Zbl 1481.65232) Full Text: DOI OpenURL
Mohammadzadeh, Robabeh; Lakestani, Mehrdad Optimal control of linear time-delay systems by a hybrid of block-pulse functions and biorthogonal cubic Hermite spline multiwavelets. (English) Zbl 1390.49037 Optim. Control Appl. Methods 39, No. 1, 357-376 (2018). MSC: 49M30 49N10 65D07 PDF BibTeX XML Cite \textit{R. Mohammadzadeh} and \textit{M. Lakestani}, Optim. Control Appl. Methods 39, No. 1, 357--376 (2018; Zbl 1390.49037) Full Text: DOI OpenURL
Peng, Huifen; Song, Yujie; Xia, Ye New CZM for interfacial crack growth. (English) Zbl 1426.74262 Math. Probl. Eng. 2017, Article ID 1415069, 8 p. (2017). MSC: 74R10 74S05 PDF BibTeX XML Cite \textit{H. Peng} et al., Math. Probl. Eng. 2017, Article ID 1415069, 8 p. (2017; Zbl 1426.74262) Full Text: DOI OpenURL
Kargar, Zeynab; Saeedi, Habibollah B-spline wavelet operational method for numerical solution of time-space fractional partial differential equations. (English) Zbl 1379.65081 Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 4, Article ID 1750034, 24 p. (2017). Reviewer: Petr Sváček (Praha) MSC: 65M70 65M22 65T60 35R11 65M12 65M15 35K57 PDF BibTeX XML Cite \textit{Z. Kargar} and \textit{H. Saeedi}, Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 4, Article ID 1750034, 24 p. (2017; Zbl 1379.65081) Full Text: DOI OpenURL
Yang, Zhi-Bo; Chen, Xue-Feng; Xie, Yong; Zuo, Hao; Miao, Hui-Hui; Zhang, Xing-Wu Wave motion analysis and modeling of membrane structures using the wavelet finite element method. (English) Zbl 1452.74069 Appl. Math. Modelling 40, No. 3, 2407-2420 (2016). MSC: 74K15 65N30 65T60 PDF BibTeX XML Cite \textit{Z.-B. Yang} et al., Appl. Math. Modelling 40, No. 3, 2407--2420 (2016; Zbl 1452.74069) Full Text: DOI OpenURL
Zhang, Xingwu; Zuo, Hao; Liu, Jixuan; Chen, Xuefeng; Yang, Zhibo Analysis of shallow hyperbolic shell by different kinds of wavelet elements based on B-spline wavelet on the interval. (English) Zbl 1452.74078 Appl. Math. Modelling 40, No. 3, 1914-1928 (2016). MSC: 74K25 65N30 65T60 PDF BibTeX XML Cite \textit{X. Zhang} et al., Appl. Math. Modelling 40, No. 3, 1914--1928 (2016; Zbl 1452.74078) Full Text: DOI OpenURL
Ashpazzadeh, Elmira; Lakestani, Mehrdad Biorthogonal cubic Hermite spline multiwavelets on the interval for solving the fractional optimal control problems. (English) Zbl 1424.49032 Comput. Methods Differ. Equ. 4, No. 2, 99-115 (2016). MSC: 49M25 49N10 65T60 PDF BibTeX XML Cite \textit{E. Ashpazzadeh} and \textit{M. Lakestani}, Comput. Methods Differ. Equ. 4, No. 2, 99--115 (2016; Zbl 1424.49032) Full Text: Link OpenURL
Nemati Saray, Behzad; Lakestani, Mehrdad; Razzaghi, Mohsen Sparse representation of system of Fredholm integro-differential equations by using alpert multiwavelets. (English) Zbl 1330.65204 Comput. Math. Math. Phys. 55, No. 9, 1468-1483 (2015). MSC: 65R20 45J05 45G15 PDF BibTeX XML Cite \textit{B. Nemati Saray} et al., Comput. Math. Math. Phys. 55, No. 9, 1468--1483 (2015; Zbl 1330.65204) Full Text: DOI OpenURL
Coatanhay, A.; Scolan, Y.-M. Adaptive multiscale moment method applied to the electromagnetic scattering by coastal breaking sea waves. (English) Zbl 1356.78072 Math. Methods Appl. Sci. 38, No. 10, 2041-2052 (2015). Reviewer: Gunther Schmidt (Berlin) MSC: 78A45 76B07 76B15 78M05 PDF BibTeX XML Cite \textit{A. Coatanhay} and \textit{Y. M. Scolan}, Math. Methods Appl. Sci. 38, No. 10, 2041--2052 (2015; Zbl 1356.78072) Full Text: DOI OpenURL
Li, Xinxiu Operational method for solving fractional differential equations using cubic B-spline approximation. (English) Zbl 1333.65078 Int. J. Comput. Math. 91, No. 12, 2584-2602 (2014). MSC: 65L05 35R11 34A08 35K15 65D07 PDF BibTeX XML Cite \textit{X. Li}, Int. J. Comput. Math. 91, No. 12, 2584--2602 (2014; Zbl 1333.65078) Full Text: DOI OpenURL
Sahu, P. K.; Ray, S. Saha A new approach based on semi-orthogonal B-spline wavelets for the numerical solutions of the system of nonlinear Fredholm integral equations of second kind. (English) Zbl 1309.65162 Comput. Appl. Math. 33, No. 3, 859-872 (2014). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45B05 45G15 65D07 65T60 PDF BibTeX XML Cite \textit{P. K. Sahu} and \textit{S. S. Ray}, Comput. Appl. Math. 33, No. 3, 859--872 (2014; Zbl 1309.65162) Full Text: DOI OpenURL
Sahu, P. K.; Saha Ray, S. Numerical solutions for the system of Fredholm integral equations of second kind by a new approach involving semiorthogonal B-spline wavelet collocation method. (English) Zbl 1298.65196 Appl. Math. Comput. 234, 368-379 (2014). MSC: 65R20 45B05 PDF BibTeX XML Cite \textit{P. K. Sahu} and \textit{S. Saha Ray}, Appl. Math. Comput. 234, 368--379 (2014; Zbl 1298.65196) Full Text: DOI OpenURL
Yang, Zhibo; Chen, Xuefeng; Zhang, Xingwu; He, Zhengjia Free vibration and buckling analysis of plates using B-spline wavelet on the interval Mindlin element. (English) Zbl 1351.74044 Appl. Math. Modelling 37, No. 5, 3449-3466 (2013). MSC: 74H45 74G60 74K20 74S25 PDF BibTeX XML Cite \textit{Z. Yang} et al., Appl. Math. Modelling 37, No. 5, 3449--3466 (2013; Zbl 1351.74044) Full Text: DOI OpenURL
Xu, Qiang; Chen, Jian-Yun; Li, Jing; Xu, Gang; Yue, Hong-Yuan Study on spline wavelet finite-element method in multi-scale analysis for foundation. (English) Zbl 1342.65248 Acta Mech. Sin. 29, No. 5, 699-708 (2013). MSC: 65T60 65N30 65D07 74S05 74S30 PDF BibTeX XML Cite \textit{Q. Xu} et al., Acta Mech. Sin. 29, No. 5, 699--708 (2013; Zbl 1342.65248) Full Text: DOI OpenURL
Ray, S. Saha; Sahu, P. K. Numerical methods for solving Fredholm integral equations of second kind. (English) Zbl 1291.65389 Abstr. Appl. Anal. 2013, Article ID 426916, 17 p. (2013). MSC: 65R20 45B05 PDF BibTeX XML Cite \textit{S. S. Ray} and \textit{P. K. Sahu}, Abstr. Appl. Anal. 2013, Article ID 426916, 17 p. (2013; Zbl 1291.65389) Full Text: DOI OpenURL
Alipanah, Amjad; Dehghan, Mehdi A pseudospectral method for the solution of second-order integro-differential equations. (English) Zbl 1349.65706 J. Vib. Control 17, No. 14, 2158-2163 (2011). MSC: 65R20 65Q20 45J05 65L60 PDF BibTeX XML Cite \textit{A. Alipanah} and \textit{M. Dehghan}, J. Vib. Control 17, No. 14, 2158--2163 (2011; Zbl 1349.65706) Full Text: DOI OpenURL
Haidar, Nassar H. S. On a finite asymptotic integral transform. (English) Zbl 1279.44005 J. Inverse Ill-Posed Probl. 19, No. 3, 429-451 (2011). MSC: 44A20 65R10 86A22 PDF BibTeX XML Cite \textit{N. H. S. Haidar}, J. Inverse Ill-Posed Probl. 19, No. 3, 429--451 (2011; Zbl 1279.44005) Full Text: DOI OpenURL
Rashidinia, J.; Parsa, Ali Semi-orthogonal spline scaling functions for solving Hammerstein integral equations. (English) Zbl 1221.65342 Int. J. Wavelets Multiresolut. Inf. Process. 9, No. 3, 427-443 (2011). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45G10 65T60 PDF BibTeX XML Cite \textit{J. Rashidinia} and \textit{A. Parsa}, Int. J. Wavelets Multiresolut. Inf. Process. 9, No. 3, 427--443 (2011; Zbl 1221.65342) Full Text: DOI OpenURL
Lakestani, Mehrdad; Nemati Saray, Behzad; Dehghan, Mehdi Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets. (English) Zbl 1216.65185 J. Comput. Appl. Math. 235, No. 11, 3291-3303 (2011). MSC: 65R20 45J05 45B05 45E10 65F50 PDF BibTeX XML Cite \textit{M. Lakestani} et al., J. Comput. Appl. Math. 235, No. 11, 3291--3303 (2011; Zbl 1216.65185) Full Text: DOI OpenURL
Maleknejad, K.; Sahlan, M. Nosrati The method of moments for solution of second kind Fredholm integral equations based on B-spline wavelets. (English) Zbl 1197.65228 Int. J. Comput. Math. 87, No. 7, 1602-1616 (2010). MSC: 65R20 45B05 65T60 PDF BibTeX XML Cite \textit{K. Maleknejad} and \textit{M. N. Sahlan}, Int. J. Comput. Math. 87, No. 7, 1602--1616 (2010; Zbl 1197.65228) Full Text: DOI OpenURL
Chen, Xuefeng; Xiang, Jiawei; Li, Bing; He, Zhengjia A study of multiscale wavelet-based elements for adaptive finite element analysis. (English) Zbl 1182.65169 Adv. Eng. Softw. 41, No. 2, 196-205 (2010). MSC: 65N30 65N12 65T60 35J05 PDF BibTeX XML Cite \textit{X. Chen} et al., Adv. Eng. Softw. 41, No. 2, 196--205 (2010; Zbl 1182.65169) Full Text: DOI OpenURL
Chen, Xuefeng; Li, Bing; Xiang, Jiawei; He, Zhengjia Quantitative identification of rotor cracks based on finite element of B-spline wavelet on the interval. (English) Zbl 1310.74043 Int. J. Wavelets Multiresolut. Inf. Process. 7, No. 4, 443-457 (2009). MSC: 74S05 74R99 PDF BibTeX XML Cite \textit{X. Chen} et al., Int. J. Wavelets Multiresolut. Inf. Process. 7, No. 4, 443--457 (2009; Zbl 1310.74043) Full Text: DOI OpenURL
Xiang, Jiawei; Zhong, Yongteng; Chen, Xuefeng; He, Zhengjia Crack detection in a shaft by combination of wavelet-based elements and genetic algorithm. (English) Zbl 1169.74466 Int. J. Solids Struct. 45, No. 17, 4782-4795 (2008). MSC: 74K10 74R10 74S30 PDF BibTeX XML Cite \textit{J. Xiang} et al., Int. J. Solids Struct. 45, No. 17, 4782--4795 (2008; Zbl 1169.74466) Full Text: DOI OpenURL
Xiang, Jiawei; Chen, Xuefeng; He, Zhengjia; Zhang, Yinghong A new wavelet-based thin plate element using B-spline wavelet on the interval. (English) Zbl 1162.74480 Comput. Mech. 41, No. 2, 243-255 (2008). MSC: 74S05 74K20 65T60 PDF BibTeX XML Cite \textit{J. Xiang} et al., Comput. Mech. 41, No. 2, 243--255 (2008; Zbl 1162.74480) Full Text: DOI OpenURL
Xiang, J. W.; Chen, X. F.; He, Z. J.; Dong, H. B. The construction of 1D wavelet finite elements for structural analysis. (English) Zbl 1181.74143 Comput. Mech. 40, No. 2, 325-339 (2007). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 74S05 74K10 65T60 PDF BibTeX XML Cite \textit{J. W. Xiang} et al., Comput. Mech. 40, No. 2, 325--339 (2007; Zbl 1181.74143) Full Text: DOI OpenURL
Lakestani, M.; Razzaghi, M.; Dehghan, M. Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations. (English) Zbl 1200.65112 Math. Probl. Eng. 2006, No. 1, Article ID 96184, 12 p. (2006). MSC: 65R20 65T60 PDF BibTeX XML Cite \textit{M. Lakestani} et al., Math. Probl. Eng. 2006, No. 1, Article ID 96184, 12 p. (2006; Zbl 1200.65112) Full Text: DOI OpenURL
Geranmayeh, Amir; Moini, Rouzbeh; Sadeghi, S. H. Hesam On the use of piecewise linear wavelets for fast construction of sparsified moment matrices in solving the thin-wire EFIE. (English) Zbl 1195.78056 Eng. Anal. Bound. Elem. 30, No. 10, 869-881 (2006). MSC: 78M05 65T60 65F50 78A55 PDF BibTeX XML Cite \textit{A. Geranmayeh} et al., Eng. Anal. Bound. Elem. 30, No. 10, 869--881 (2006; Zbl 1195.78056) Full Text: DOI OpenURL
Lakestani, Mehrdad; Dehghan, Mehdi The solution of a second-order nonlinear differential equation with Neumann boundary conditions using semi-orthogonal B-spline wavelets. (English) Zbl 1114.65090 Int. J. Comput. Math. 83, No. 8-9, 685-694 (2006). MSC: 65L10 34B15 65T60 PDF BibTeX XML Cite \textit{M. Lakestani} and \textit{M. Dehghan}, Int. J. Comput. Math. 83, No. 8--9, 685--694 (2006; Zbl 1114.65090) Full Text: DOI HAL OpenURL
Shamsi, M.; Nazarzadeh, J.; Shafiee, M.; Razzaghi, M. Haar wavelets method for solving Pocklington’s integral equation. (English) Zbl 1249.65289 Kybernetika 40, No. 4, 491-500 (2004). MSC: 65R20 65T60 45H05 PDF BibTeX XML Cite \textit{M. Shamsi} et al., Kybernetika 40, No. 4, 491--500 (2004; Zbl 1249.65289) Full Text: EuDML Link OpenURL
Koro, Kazuhiro; Abe, Kazuhisa A wavelet method for reducing the computational cost of BE-based homogenization analysis. (English) Zbl 1047.74545 Eng. Anal. Bound. Elem. 27, No. 5, 439-454 (2003). MSC: 74S15 74Q05 74Q15 74E30 PDF BibTeX XML Cite \textit{K. Koro} and \textit{K. Abe}, Eng. Anal. Bound. Elem. 27, No. 5, 439--454 (2003; Zbl 1047.74545) Full Text: DOI OpenURL
Abe, Kazuhisa; Koro, Kazuhiro; Itami, Kayoko An h-hierarchical Galerkin BEM using Haar wavelets. (English) Zbl 1007.65102 Eng. Anal. Bound. Elem. 25, No. 7, 581-591 (2001). MSC: 65N38 35J05 65N15 65T60 PDF BibTeX XML Cite \textit{K. Abe} et al., Eng. Anal. Bound. Elem. 25, No. 7, 581--591 (2001; Zbl 1007.65102) Full Text: DOI OpenURL
Koro, Kazuhiro; Abe, Kazuhisa Non-orthogonal spline wavelets for boundary element analysis. (English) Zbl 0981.65160 Eng. Anal. Bound. Elem. 25, No. 3, 149-164 (2001). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65T60 42C40 65N38 PDF BibTeX XML Cite \textit{K. Koro} and \textit{K. Abe}, Eng. Anal. Bound. Elem. 25, No. 3, 149--164 (2001; Zbl 0981.65160) Full Text: DOI OpenURL
Goswami, Jaideva C. An application of wavelet bases in the spectral domain analysis of transmission line discontinuities. (English) Zbl 0920.65079 Int. J. Numer. Model. 11, No. 1, 41-54 (1998). Reviewer: Joseph Lakey (Las Cruces) MSC: 65Z05 35Q60 78A50 65N38 PDF BibTeX XML Cite \textit{J. C. Goswami}, Int. J. Numer. Model. 11, No. 1, 41--54 (1998; Zbl 0920.65079) Full Text: DOI OpenURL
Sabet, Kazem F.; Katehi, Linda P. B. An integral formulation of two- and three-dimensional dielectric structures using orthonormal multiresolution expansions. (English) Zbl 0911.65144 Int. J. Numer. Model. 11, No. 1, 3-19 (1998). Reviewer: Y.Cherruault (Paris) MSC: 65R20 45K05 78A50 PDF BibTeX XML Cite \textit{K. F. Sabet} and \textit{L. P. B. Katehi}, Int. J. Numer. Model. 11, No. 1, 3--19 (1998; Zbl 0911.65144) Full Text: DOI OpenURL