Wang, Lina; Tong, Qian; Yi, Lijun; Zhang, Mingzhu Legendre-Gauss-Radau spectral collocation method for nonlinear second-order initial value problems with applications to wave equations. (English) Zbl 07803028 J. Comput. Math. 42, No. 1, 217-247 (2024). MSC: 65M70 41A10 65L05 35L05 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Comput. Math. 42, No. 1, 217--247 (2024; Zbl 07803028) Full Text: DOI
Wen, Jin; Yue, Chong-Wang; Liu, Zhuan-Xia; Wang, Shi-Juan Fractional Tikhonov regularization method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation. (English) Zbl 1516.35479 Rocky Mt. J. Math. 53, No. 1, 249-273 (2023). MSC: 35R11 35K20 35R30 41A28 65N21 PDFBibTeX XMLCite \textit{J. Wen} et al., Rocky Mt. J. Math. 53, No. 1, 249--273 (2023; Zbl 1516.35479) Full Text: DOI Link
Amstutz, Samuel; Dapogny, Charles; Ferrer, Alex A consistent approximation of the total perimeter functional for topology optimization algorithms. (English) Zbl 1485.49050 ESAIM, Control Optim. Calc. Var. 28, Paper No. 18, 71 p. (2022). MSC: 49Q10 49Q12 35J05 35J25 41A60 65K05 PDFBibTeX XMLCite \textit{S. Amstutz} et al., ESAIM, Control Optim. Calc. Var. 28, Paper No. 18, 71 p. (2022; Zbl 1485.49050) Full Text: DOI
Woldaregay, Mesfin Mekuria; Duressa, Gemechis File Uniformly convergent numerical method for singularly perturbed delay parabolic differential equations arising in computational neuroscience. (English) Zbl 1499.65466 Kragujevac J. Math. 46, No. 1, 65-84 (2022). MSC: 65M20 65N06 65L06 65N12 65M12 35B25 41A58 35K20 35R07 92C20 35Q92 PDFBibTeX XMLCite \textit{M. M. Woldaregay} and \textit{G. F. Duressa}, Kragujevac J. Math. 46, No. 1, 65--84 (2022; Zbl 1499.65466) Full Text: DOI Link
Woldaregay, Mesfin Mekuria; Duressa, Gemechis File Uniformly convergent numerical scheme for singularly perturbed parabolic delay differential equations. (English) Zbl 1513.65315 J. Appl. Math. Inform. 39, No. 5-6, 623-641 (2021). MSC: 65M06 65N06 65M12 35B25 35R07 41A58 35K10 PDFBibTeX XMLCite \textit{M. M. Woldaregay} and \textit{G. F. Duressa}, J. Appl. Math. Inform. 39, No. 5--6, 623--641 (2021; Zbl 1513.65315) Full Text: DOI
Kumar, Kotapally Harish; Jiwari, Ram A note on numerical solution of classical Darboux problem. (English) Zbl 1478.65097 Math. Methods Appl. Sci. 44, No. 17, 12998-13007 (2021). MSC: 65M70 65T60 41A50 35L10 35Q05 PDFBibTeX XMLCite \textit{K. H. Kumar} and \textit{R. Jiwari}, Math. Methods Appl. Sci. 44, No. 17, 12998--13007 (2021; Zbl 1478.65097) Full Text: DOI DOI
Yaslan, H. Çerdik Numerical solution of the nonlinear conformable space-time fractional partial differential equations. (English) Zbl 1528.65054 Indian J. Pure Appl. Math. 52, No. 2, 407-419 (2021). MSC: 65M06 65N06 65H10 41A50 35G31 26A33 35R11 PDFBibTeX XMLCite \textit{H. Ç. Yaslan}, Indian J. Pure Appl. Math. 52, No. 2, 407--419 (2021; Zbl 1528.65054) Full Text: DOI
Meyer, Marcela Molina; Prieto Medina, Frank Richard Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions. (English) Zbl 1524.65896 Comput. Math. Appl. 89, 1-19 (2021). MSC: 65N35 35J05 35J25 65L10 31A30 45D05 41A50 PDFBibTeX XMLCite \textit{M. M. Meyer} and \textit{F. R. Prieto Medina}, Comput. Math. Appl. 89, 1--19 (2021; Zbl 1524.65896) Full Text: DOI arXiv
Dohnal, Tomáš; Rudolf, Daniel NLS approximation for wavepackets in periodic cubically nonlinear wave problems in \(\mathbb{R}^d\). (English) Zbl 1459.35342 Appl. Anal. 99, No. 10, 1685-1723 (2020). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35Q60 35L71 41A60 35C08 65N25 65N06 65L06 65T50 PDFBibTeX XMLCite \textit{T. Dohnal} and \textit{D. Rudolf}, Appl. Anal. 99, No. 10, 1685--1723 (2020; Zbl 1459.35342) Full Text: DOI arXiv
Lui, S. H.; Nataj, Sarah Chebyshev spectral collocation in space and time for the heat equation. (English) Zbl 1446.65130 ETNA, Electron. Trans. Numer. Anal. 52, 295-319 (2020). MSC: 65M70 65L05 35K20 35L20 41A10 PDFBibTeX XMLCite \textit{S. H. Lui} and \textit{S. Nataj}, ETNA, Electron. Trans. Numer. Anal. 52, 295--319 (2020; Zbl 1446.65130) Full Text: DOI Link
Lal, Shyam; Rakesh The approximations of a function belonging Hölder class \(H^\alpha [0,1)\) by second kind Chebyshev wavelet method and applications in solutions of differential equation. (English) Zbl 1412.42093 Int. J. Wavelets Multiresolut. Inf. Process. 17, No. 1, Article ID 1850062, 19 p. (2019). Reviewer: Gustaf Gripenberg (Helsingfors) MSC: 42C40 65T60 65L10 41A50 PDFBibTeX XMLCite \textit{S. Lal} and \textit{Rakesh}, Int. J. Wavelets Multiresolut. Inf. Process. 17, No. 1, Article ID 1850062, 19 p. (2019; Zbl 1412.42093) Full Text: DOI
Tang, Yaozong; Li, Xiaolin Numerical analysis of the meshless element-free Galerkin method for hyperbolic initial-boundary value problems. (English) Zbl 1488.65458 Appl. Math., Praha 62, No. 5, 477-492 (2017). MSC: 65M60 65N30 41A58 65M12 65M15 35L20 PDFBibTeX XMLCite \textit{Y. Tang} and \textit{X. Li}, Appl. Math., Praha 62, No. 5, 477--492 (2017; Zbl 1488.65458) Full Text: DOI
Bachmayr, Markus; Cohen, Albert Kolmogorov widths and low-rank approximations of parametric elliptic PDEs. (English) Zbl 1358.65072 Math. Comput. 86, No. 304, 701-724 (2017). MSC: 65N99 35J25 65N12 41A46 PDFBibTeX XMLCite \textit{M. Bachmayr} and \textit{A. Cohen}, Math. Comput. 86, No. 304, 701--724 (2017; Zbl 1358.65072) Full Text: DOI arXiv
Bhrawy, Ali H.; Abdelkawy, Mohamed A.; Mallawi, Fouad An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays. (English) Zbl 1515.35023 Bound. Value Probl. 2015, Paper No. 103, 20 p. (2015). MSC: 35A35 35K20 35R10 41A50 65M70 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Bound. Value Probl. 2015, Paper No. 103, 20 p. (2015; Zbl 1515.35023) Full Text: DOI
Turut, Veyis; Güzel, Nuran On solving partial differential equations of fractional order by using the variational iteration method and multivariate Padé approximations. (English) Zbl 1413.65401 Eur. J. Pure Appl. Math. 6, No. 2, 147-171 (2013). MSC: 65M99 41A21 35R11 35L70 35Q53 PDFBibTeX XMLCite \textit{V. Turut} and \textit{N. Güzel}, Eur. J. Pure Appl. Math. 6, No. 2, 147--171 (2013; Zbl 1413.65401) Full Text: Link
Turut, Veyis; Çelik, Ercan; Yiğider, Muhammed Multivariate Padé approximation for solving partial differential equations (PDE). (English) Zbl 1219.65116 Int. J. Numer. Methods Fluids 66, No. 9, 1159-1173 (2011). MSC: 65M80 35L45 35L52 41A21 35C10 PDFBibTeX XMLCite \textit{V. Turut} et al., Int. J. Numer. Methods Fluids 66, No. 9, 1159--1173 (2011; Zbl 1219.65116) Full Text: DOI
Pasquetti, Richard; Rapetti, Francesca Spectral element methods on unstructured meshes: Which interpolation points? (English) Zbl 1200.65096 Numer. Algorithms 55, No. 2-3, 349-366 (2010). MSC: 65N35 35J25 65D05 41A05 65N15 PDFBibTeX XMLCite \textit{R. Pasquetti} and \textit{F. Rapetti}, Numer. Algorithms 55, No. 2--3, 349--366 (2010; Zbl 1200.65096) Full Text: DOI
Guessab, Allal On a new family of Gaussian quadrature formulae of Birkhoff type and some lumped mass spectral approximations. II: Generalized Laguerre case on semi-infinite domains. (English) Zbl 1021.65011 Int. J. Pure Appl. Math. 3, No. 2, 193-239 (2002). MSC: 65D32 41A55 65N35 65L60 35J05 34A30 PDFBibTeX XMLCite \textit{A. Guessab}, Int. J. Pure Appl. Math. 3, No. 2, 193--239 (2002; Zbl 1021.65011)
Moskowitz, B.; Caflisch, R. E. Smoothness and dimension reduction in quasi-Monte Carlo methods. (English) Zbl 0858.65023 Math. Comput. Modelling 23, No. 8-9, 37-54 (1996). Reviewer: A.Pasculescu (Mississauga/Ontario) MSC: 65D32 41A55 41A63 65C05 65Z05 35K15 PDFBibTeX XMLCite \textit{B. Moskowitz} and \textit{R. E. Caflisch}, Math. Comput. Modelling 23, No. 8--9, 37--54 (1996; Zbl 0858.65023) Full Text: DOI
Pasquini, L. Polynomial solutions to second order linear homogeneous ordinary differential equations. Properties and approximation. (English) Zbl 0787.34018 Calcolo 26, No. 2-4, 167-183 (1989). MSC: 34A45 34A30 33C65 41A10 65L99 PDFBibTeX XMLCite \textit{L. Pasquini}, Calcolo 26, No. 2--4, 167--183 (1989; Zbl 0787.34018) Full Text: DOI
Ioakimidis, N. I.; Pitta, M. S. Remarks on the Gaussian quadrature rule for finite-part integrals with a second-order singularity. (English) Zbl 0646.65018 Comput. Methods Appl. Mech. Eng. 69, No. 3, 325-343 (1988). MSC: 65D32 65R20 30E20 41A55 74R05 45E05 PDFBibTeX XMLCite \textit{N. I. Ioakimidis} and \textit{M. S. Pitta}, Comput. Methods Appl. Mech. Eng. 69, No. 3, 325--343 (1988; Zbl 0646.65018) Full Text: DOI
Reemtsen, R. Defect minimization in operator equations: theory and applications. (English) Zbl 0682.47033 Pitman Research Notes in Mathematics Series, 163. Harlow: Longman Scientific & Technical; New York: John Wiley & Sons, Inc. xiv, 106 p. $ 34.95 (1987). MSC: 47J25 47-02 34A45 65J15 47A50 41A65 PDFBibTeX XMLCite \textit{R. Reemtsen}, Defect minimization in operator equations: theory and applications. Harlow: Longman Scientific \&| Technical; New York: John Wiley \&| Sons, Inc. (1987; Zbl 0682.47033)
Lawson, J. D.; Morris, J. Ll. The extrapolation of first order methods for parabolic partial differential equations. I. (English) Zbl 0397.65064 SIAM J. Numer. Anal. 15, 1212-1224 (1978). MSC: 65M12 41A21 35K05 35K15 35K20 65M06 PDFBibTeX XMLCite \textit{J. D. Lawson} and \textit{J. Ll. Morris}, SIAM J. Numer. Anal. 15, 1212--1224 (1978; Zbl 0397.65064) Full Text: DOI