Ling, Dan; Mao, Zhiping Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics. (English) Zbl 1516.65107 J. Sci. Comput. 95, No. 2, Paper No. 51, 23 p. (2023). MSC: 65M70 65M06 65L06 65N35 65M12 65M15 35A01 35A02 35B65 33C45 86A15 35Q86 PDFBibTeX XMLCite \textit{D. Ling} and \textit{Z. Mao}, J. Sci. Comput. 95, No. 2, Paper No. 51, 23 p. (2023; Zbl 1516.65107) Full Text: DOI arXiv
Michel, V.; Plattner, A.; Seibert, K. A unified approach to scalar, vector, and tensor Slepian functions on the sphere and their construction by a commuting operator. (English) Zbl 1502.43008 Anal. Appl., Singap. 20, No. 5, 947-988 (2022). MSC: 43A90 33C55 41A10 41A63 42C05 42C10 42C25 45C05 86-08 PDFBibTeX XMLCite \textit{V. Michel} et al., Anal. Appl., Singap. 20, No. 5, 947--988 (2022; Zbl 1502.43008) Full Text: DOI arXiv
Belov, A. A.; Kalitkin, N. N. Method for experimental data processing concerning chemical reaction rates in low-atomic gases. (English. Russian original) Zbl 1451.80020 Comput. Math. Math. Phys. 60, No. 7, 1199-1207 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 7, 1239-1247 (2020). MSC: 80A30 80A25 80-05 86A08 PDFBibTeX XMLCite \textit{A. A. Belov} and \textit{N. N. Kalitkin}, Comput. Math. Math. Phys. 60, No. 7, 1199--1207 (2020; Zbl 1451.80020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 7, 1239--1247 (2020) Full Text: DOI
Miftakhova, Alena; Judd, Kenneth L.; Lontzek, Thomas S.; Schmedders, Karl Statistical approximation of high-dimensional climate models. (English) Zbl 1456.62263 J. Econom. 214, No. 1, 67-80 (2020). MSC: 62P12 86A08 PDFBibTeX XMLCite \textit{A. Miftakhova} et al., J. Econom. 214, No. 1, 67--80 (2020; Zbl 1456.62263) Full Text: DOI
Rao, T. D.; Chakraverty, Snehashish Modeling radon diffusion equation by using fuzzy polynomials in Galerkin’s method. (English) Zbl 1414.86002 Chakraverty, Snehashish (ed.) et al., Recent advances in applications of computational and fuzzy mathematics. Singapore: Springer. 75-93 (2018). MSC: 86-08 35Q86 35R13 76S05 PDFBibTeX XMLCite \textit{T. D. Rao} and \textit{S. Chakraverty}, in: Recent advances in applications of computational and fuzzy mathematics. Singapore: Springer. 75--93 (2018; Zbl 1414.86002) Full Text: DOI
Charrier, D. E.; May, D. A.; Schnepp, S. M. Symmetric interior penalty discontinuous Galerkin discretizations and block preconditioning for heterogeneous Stokes flow. (English) Zbl 1516.65080 SIAM J. Sci. Comput. 39, No. 6, B1021-B1042 (2017). MSC: 65M55 65M60 65M06 65N30 65N50 65N12 42C10 65F08 65F10 76D07 86A05 35Q35 35Q86 35R05 PDFBibTeX XMLCite \textit{D. E. Charrier} et al., SIAM J. Sci. Comput. 39, No. 6, B1021--B1042 (2017; Zbl 1516.65080) Full Text: DOI arXiv
Farina, Leandro; da Gama, Rômulo L.; Korotov, Sergey; Ziebell, Juliana S. Radiation of water waves by a submerged nearly circular plate. (English) Zbl 1381.76033 J. Comput. Appl. Math. 310, 165-173 (2017). MSC: 76B07 74F10 86A05 PDFBibTeX XMLCite \textit{L. Farina} et al., J. Comput. Appl. Math. 310, 165--173 (2017; Zbl 1381.76033) Full Text: DOI
Hansen, Scott K.; He, Jiachuan; Vesselinov, Velimir V. Characterizing the impact of model error in hydrogeologic time series recovery inverse problems. arXiv:1703.03090 Preprint, arXiv:1703.03090 [math.SP] (2017). MSC: 86-08 42C10 15B05 15A09 15A29 BibTeX Cite \textit{S. K. Hansen} et al., ``Characterizing the impact of model error in hydrogeologic time series recovery inverse problems'', Preprint, arXiv:1703.03090 [math.SP] (2017) Full Text: DOI arXiv OA License
Boyd, John P. Five themes in Chebyshev spectral methods applied to the regularized Charney eigenproblem: extra numerical boundary conditions, a boundary-layer-resolving change of coordinate, parameterizing a curve which is singular at an endpoint, extending the tau method to log-and-polynomials and finding the roots of a polynomial-and-log approximation. (English) Zbl 1443.65104 Comput. Math. Appl. 71, No. 6, 1227-1241 (2016). MSC: 65L60 33C45 86A10 PDFBibTeX XMLCite \textit{J. P. Boyd}, Comput. Math. Appl. 71, No. 6, 1227--1241 (2016; Zbl 1443.65104) Full Text: DOI
Ma, Heping; Yang, Yubo Jacobi spectral collocation method for the time variable-order fractional mobile-immobile advection-dispersion solute transport model. (English) Zbl 1499.65570 East Asian J. Appl. Math. 6, No. 3, 337-352 (2016). MSC: 65M70 26A33 15A99 39A70 33C45 35R11 86A05 35Q86 PDFBibTeX XMLCite \textit{H. Ma} and \textit{Y. Yang}, East Asian J. Appl. Math. 6, No. 3, 337--352 (2016; Zbl 1499.65570) Full Text: DOI
Michel, Volker; Orzlowski, Sarah On the null space of a class of Fredholm integral equations of the first kind. (English) Zbl 1351.45001 J. Inverse Ill-Posed Probl. 24, No. 6, 687-710 (2016). MSC: 45B05 45Q05 33C45 33C50 33C55 78A30 86A20 86A22 PDFBibTeX XMLCite \textit{V. Michel} and \textit{S. Orzlowski}, J. Inverse Ill-Posed Probl. 24, No. 6, 687--710 (2016; Zbl 1351.45001) Full Text: DOI
Mikelić, A.; Wheeler, M. F.; Wick, Thomas Phase-field modeling of a fluid-driven fracture in a poroelastic medium. (English) Zbl 1390.86010 Comput. Geosci. 19, No. 6, 1171-1195 (2015). MSC: 86-08 86A05 74F10 37M25 33C45 PDFBibTeX XMLCite \textit{A. Mikelić} et al., Comput. Geosci. 19, No. 6, 1171--1195 (2015; Zbl 1390.86010) Full Text: DOI HAL
Gibson, Peter C. Hardy space on the polydisk and scattering in layered media. arXiv:1306.2871 Preprint, arXiv:1306.2871 [math-ph] (2013). MSC: 74J20 32A35 35L40 86A22 33C45 42A75 BibTeX Cite \textit{P. C. Gibson}, ``Hardy space on the polydisk and scattering in layered media'', Preprint, arXiv:1306.2871 [math-ph] (2013) Full Text: arXiv OA License
Chen, Guo; Zhang, Shouting; Li, Yan 3D geological modeling and assessment of site suitability based on orthogonal polynomials and Markov matrix. (English) Zbl 1323.86040 Information 15, No. 11(B), 4755-4761 (2012). MSC: 86A60 33C45 PDFBibTeX XMLCite \textit{G. Chen} et al., Information 15, No. 11(B), 4755--4761 (2012; Zbl 1323.86040)
Liao, Xinhao; Zhang, Keke A new Legendre-type polynomial and its application to geostrophic flow in rotating fluid spheres. (English) Zbl 1375.33014 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2120, 2203-2217 (2010). MSC: 33C45 76U05 86A05 PDFBibTeX XMLCite \textit{X. Liao} and \textit{K. Zhang}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2120, 2203--2217 (2010; Zbl 1375.33014) Full Text: DOI
Gerstl, Michael Computing the earth gravity field with spherical harmonics. (English) Zbl 1142.86305 Breitner, Michael H. (ed.) et al., From nano to space. Applied mathematics inspired by Roland Bulirsch. Berlin: Springer (ISBN 978-3-540-74237-1/hbk). 277-294 (2008). MSC: 86A30 33C50 PDFBibTeX XMLCite \textit{M. Gerstl}, in: From nano to space. Applied mathematics inspired by Roland Bulirsch. Berlin: Springer. 277--294 (2008; Zbl 1142.86305)
Blakely, Chris; Gelb, Anne; Navarra, Antonio An automated method for recovering piecewise smooth functions on spheres free from Gibbs oscillations. (English) Zbl 1156.42301 Sampl. Theory Signal Image Process. 6, No. 3, 323-346 (2007). MSC: 42A10 42C05 42C20 65M70 76E20 86A10 PDFBibTeX XMLCite \textit{C. Blakely} et al., Sampl. Theory Signal Image Process. 6, No. 3, 323--346 (2007; Zbl 1156.42301)
Jekeli, Christopher; Lee, Jong Ki; Kwon, Jay H. On the computation and approximation of ultra-high-degree spherical harmonic series. (English) Zbl 1134.65333 J. Geod. 81, No. 9, 603-615 (2007). MSC: 65D20 86A20 86-08 33C47 33F05 PDFBibTeX XMLCite \textit{C. Jekeli} et al., J. Geod. 81, No. 9, 603--615 (2007; Zbl 1134.65333) Full Text: DOI
Yuan, Yirang The finite difference method for the three-dimensional nonlinear coupled system of dynamics of fluids in porous media. (English) Zbl 1102.76045 Sci. China, Ser. A 49, No. 2, 185-211 (2006). MSC: 76M20 76S05 86A05 65M12 33C45 PDFBibTeX XMLCite \textit{Y. Yuan}, Sci. China, Ser. A 49, No. 2, 185--211 (2006; Zbl 1102.76045) Full Text: DOI
Swarztrauber, Paul N.; Spotz, William F. Spherical harmonic projectors. (English) Zbl 1035.65113 Math. Comput. 73, No. 246, 753-760 (2004). MSC: 65M70 42C10 86-08 35Q72 86A10 65T60 PDFBibTeX XMLCite \textit{P. N. Swarztrauber} and \textit{W. F. Spotz}, Math. Comput. 73, No. 246, 753--760 (2004; Zbl 1035.65113) Full Text: DOI
Mhaskar, H. N.; Narcowich, F. J.; Ward, J. D. Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature. (English) Zbl 0980.76070 Math. Comput. 70, No. 235, 1113-1130 (2001). MSC: 76M99 65D32 42C10 41A17 86A05 86A10 PDFBibTeX XMLCite \textit{H. N. Mhaskar} et al., Math. Comput. 70, No. 235, 1113--1130 (2001; Zbl 0980.76070) Full Text: DOI
Holl, Peter Computation of the HOUGH-functions by numerical integration of their differential equations. (Berechnung der HOUGH-Funktionen durch numerische Integration ihrer Differentialgleichungen.) (German) Zbl 0952.65059 Nachr. Akad. Wiss. Gött., II. Math.-Phys. Kl. 1998, No. 2, 57-76 (1998). MSC: 65L15 33C47 86A05 86-08 65D20 34B30 34L15 34L10 PDFBibTeX XMLCite \textit{P. Holl}, Nachr. Akad. Wiss. Gött., II. Math.-Phys. Kl. 1998, No. 2, 57--76 (1998; Zbl 0952.65059)
Lyal’ko, V. I.; P’yanylo, Ya. D. Employment of the classical orthogonal polynomials in remote surveys of plants. (Ukrainian) Zbl 0895.68149 Dopov. Akad. Nauk Ukr. 1997, No. 2, 42-46 (1997). Reviewer: Valerie Samoilenko (Kyïv) MSC: 68U99 86-08 65D30 PDFBibTeX XMLCite \textit{V. I. Lyal'ko} and \textit{Ya. D. P'yanylo}, Dopov. Akad. Nauk Ukr. 1997, No. 2, 42--46 (1997; Zbl 0895.68149)
Risbo, T. Fourier transform summation of Legendre series and \(D\)-functions. (English) Zbl 0983.86507 J. Geod. 70, No. 7, 383-396 (1996). MSC: 86A30 33C55 65T50 42C10 PDFBibTeX XMLCite \textit{T. Risbo}, J. Geod. 70, No. 7, 383--396 (1996; Zbl 0983.86507) Full Text: DOI
Dietrich, C. R.; Newsam, G. N. Generating correlated Gaussian random fields by orthogonal polynomial approximations to the square root of the covariance matrix. (English) Zbl 0833.62092 J. Stat. Comput. Simulation 50, No. 1-2, 91-109 (1994). MSC: 62M40 65C99 86A32 41A50 PDFBibTeX XMLCite \textit{C. R. Dietrich} and \textit{G. N. Newsam}, J. Stat. Comput. Simulation 50, No. 1--2, 91--109 (1994; Zbl 0833.62092) Full Text: DOI
Davies, A. M. Application of the Galerkin method to the formulation of a three- dimensional nonlinear hydrodynamic numerical sea model. (English) Zbl 0443.76015 Appl. Math. Modelling 4, 245-256 (1980). MSC: 76B15 65N30 86A05 76D99 PDFBibTeX XMLCite \textit{A. M. Davies}, Appl. Math. Modelling 4, 245--256 (1980; Zbl 0443.76015) Full Text: DOI
Engels, Remi C.; Junkins, John L. Local representation of the geopotential by weighted orthonormal polynomials. (English) Zbl 0433.65065 J. Guid. Control 3, 55-61 (1980). MSC: 65Z05 86A20 31B15 33C45 65N30 PDFBibTeX XMLCite \textit{R. C. Engels} and \textit{J. L. Junkins}, J. Guid. Control 3, 55--61 (1980; Zbl 0433.65065) Full Text: DOI