Pejčev, Aleksandar Error estimates of Gaussian quadrature formulae with the third class of Bernstein-Szegő weights. (English) Zbl 1499.65092 Appl. Anal. Discrete Math. 11, No. 2, 451-469 (2017). MSC: 65D32 41A55 65D30 PDFBibTeX XMLCite \textit{A. Pejčev}, Appl. Anal. Discrete Math. 11, No. 2, 451--469 (2017; Zbl 1499.65092) Full Text: DOI
Abd-Elkawy, Mohamed A.; Alqahtani, Rubayyi T. Space-time spectral collocation algorithm for the variable-order Galilei invariant advection diffusion equations with a nonlinear source term. (English) Zbl 1488.42115 Math. Model. Anal. 22, No. 1, 1-20 (2017). MSC: 42C05 65D99 35R11 65N35 PDFBibTeX XMLCite \textit{M. A. Abd-Elkawy} and \textit{R. T. Alqahtani}, Math. Model. Anal. 22, No. 1, 1--20 (2017; Zbl 1488.42115) Full Text: DOI
Mihić, Ljubica The remainder term of Gauss-Radau quadrature rule with single and double end point. (English) Zbl 1474.65048 Publ. Inst. Math., Nouv. Sér. 102(116), 73-83 (2017). MSC: 65D30 41A55 65D32 PDFBibTeX XMLCite \textit{L. Mihić}, Publ. Inst. Math., Nouv. Sér. 102(116), 73--83 (2017; Zbl 1474.65048) Full Text: DOI
Gorbachev, D. V.; Ivanov, V. I.; Ofitserov, E. P.; Smirnov, O. I. Some extremal problems of harmonic analysis and approximation theory. (Russian. English summary) Zbl 1444.42006 Chebyshevskiĭ Sb. 18, No. 4(64), 140-167 (2017). MSC: 42A38 PDFBibTeX XMLCite \textit{D. V. Gorbachev} et al., Chebyshevskiĭ Sb. 18, No. 4(64), 140--167 (2017; Zbl 1444.42006) Full Text: DOI MNR
Gorbachev, D. V.; Ivanov, V. I. Some extremal problems for the Fourier transform over the eigenfunctions of the Sturm-Liouville operator. (Russian. English summary) Zbl 1437.42006 Chebyshevskiĭ Sb. 18, No. 2(62), 34-53 (2017). MSC: 42A38 26B15 42B37 PDFBibTeX XMLCite \textit{D. V. Gorbachev} and \textit{V. I. Ivanov}, Chebyshevskiĭ Sb. 18, No. 2(62), 34--53 (2017; Zbl 1437.42006) Full Text: DOI MNR
Alrehaili, Dina Abdullah; Al-Maturi, Dalal Adnan; Al-Aidarous, Eman Salem; Ahmad, Fayyaz An eighth order frozen Jacobian iterative method for solving nonlinear IVPs and BVPs. (English) Zbl 1427.65072 J. Math. Comput. Sci., JMCS 17, No. 3, 378-399 (2017). MSC: 65H10 PDFBibTeX XMLCite \textit{D. A. Alrehaili} et al., J. Math. Comput. Sci., JMCS 17, No. 3, 378--399 (2017; Zbl 1427.65072) Full Text: DOI
He, Guo; Zhang, Chuanlin On the numerical approximation for Fourier-type highly oscillatory integrals with Gauss-type quadrature rules. (English) Zbl 1411.65040 Appl. Math. Comput. 308, 96-104 (2017). MSC: 65D30 41A55 PDFBibTeX XMLCite \textit{G. He} and \textit{C. Zhang}, Appl. Math. Comput. 308, 96--104 (2017; Zbl 1411.65040) Full Text: DOI
Abdelkawy, Mohamed A.; Doha, Eid H.; Bhrawy, Ali H.; Amin, Ahmed Z. A. Efficient pseudospectral scheme for 3D integral equations. (English) Zbl 1413.65475 Proc. Rom. Acad., Ser. A, Math. Phys. Tech. Sci. Inf. Sci. 18, No. 3, 199-206 (2017). MSC: 65R20 PDFBibTeX XMLCite \textit{M. A. Abdelkawy} et al., Proc. Rom. Acad., Ser. A, Math. Phys. Tech. Sci. Inf. Sci. 18, No. 3, 199--206 (2017; Zbl 1413.65475)
Lian, Yanping; Wagner, Gregory J.; Liu, Wing Kam A meshfree method for the fractional advection-diffusion equation. (English) Zbl 1404.65208 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VIII. Selected contributions based on the presentations at the 8th international workshop, Bonn, Germany, September 7–9, 2015. Cham: Springer (ISBN 978-3-319-51953-1/hbk; 978-3-319-51954-8/ebook). Lecture Notes in Computational Science and Engineering 115, 53-66 (2017). MSC: 65M75 35R11 65D32 PDFBibTeX XMLCite \textit{Y. Lian} et al., Lect. Notes Comput. Sci. Eng. 115, 53--66 (2017; Zbl 1404.65208) Full Text: DOI
El-Baghdady, Galal I.; Abbas, M. M.; El-Azab, M. S.; El-Ashwah, R. M. The spectral collocation method for solving (HIV-1) via Legendre polynomials. (English) Zbl 1397.65117 Int. J. Appl. Comput. Math. 3, No. 4, 3333-3340 (2017). MSC: 65L60 92-08 92D30 PDFBibTeX XMLCite \textit{G. I. El-Baghdady} et al., Int. J. Appl. Comput. Math. 3, No. 4, 3333--3340 (2017; Zbl 1397.65117) Full Text: DOI
Hager, William W.; Hou, Hongyan; Rao, Anil V. Lebesgue constants arising in a class of collocation methods. (English) Zbl 1433.41009 IMA J. Numer. Anal. 37, No. 4, 1884-1901 (2017). MSC: 41A55 41A44 65D30 PDFBibTeX XMLCite \textit{W. W. Hager} et al., IMA J. Numer. Anal. 37, No. 4, 1884--1901 (2017; Zbl 1433.41009) Full Text: DOI arXiv
Pozza, Stefano; Pranić, Miroslav S.; Strakoš, Zdeněk Gauss quadrature for quasi-definite linear functionals. (English) Zbl 1433.65033 IMA J. Numer. Anal. 37, No. 3, 1468-1495 (2017). MSC: 65D30 PDFBibTeX XMLCite \textit{S. Pozza} et al., IMA J. Numer. Anal. 37, No. 3, 1468--1495 (2017; Zbl 1433.65033) Full Text: DOI
Wei, Yunxia; Chen, Yanping Legendre spectral collocation method for Volterra-Hammerstein integral equation of the second kind. (English) Zbl 1413.65495 Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 4, 1105-1114 (2017). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{Y. Wei} and \textit{Y. Chen}, Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 4, 1105--1114 (2017; Zbl 1413.65495) Full Text: DOI
Eshghi, Nasim; Reichel, Lothar; Spalević, Miodrag M. Enhanced matrix function approximation. (English) Zbl 1392.65019 ETNA, Electron. Trans. Numer. Anal. 47, 197-205 (2017). MSC: 65D32 65F10 65F60 PDFBibTeX XMLCite \textit{N. Eshghi} et al., ETNA, Electron. Trans. Numer. Anal. 47, 197--205 (2017; Zbl 1392.65019) Full Text: Link
Shizgal, Bernie D.; Ho, Nicholas; Yang, Xingwei The computation of radial integrals with nonclassical quadratures for quantum chemistry and other applications. (English) Zbl 1381.92116 J. Math. Chem. 55, No. 2, 413-422 (2017). MSC: 92E99 65D32 PDFBibTeX XMLCite \textit{B. D. Shizgal} et al., J. Math. Chem. 55, No. 2, 413--422 (2017; Zbl 1381.92116) Full Text: DOI
Aswin, V. S.; Awasthi, Ashish; Rashidi, Mohammad Mehdi A differential quadrature based numerical method for highly accurate solutions of Burgers’ equation. (English) Zbl 1383.65114 Numer. Methods Partial Differ. Equations 33, No. 6, 2023-2042 (2017). MSC: 65M22 35K55 35Q53 PDFBibTeX XMLCite \textit{V. S. Aswin} et al., Numer. Methods Partial Differ. Equations 33, No. 6, 2023--2042 (2017; Zbl 1383.65114) Full Text: DOI
Kopriva, David A. A polynomial spectral calculus for analysis of DG spectral element methods. (English) Zbl 1382.65345 Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 21-40 (2017). MSC: 65M70 35L04 PDFBibTeX XMLCite \textit{D. A. Kopriva}, Lect. Notes Comput. Sci. Eng. 119, 21--40 (2017; Zbl 1382.65345) Full Text: DOI arXiv
Xu, Xiaoyong; Fan, Jiqiu Numerical integration method for triple integrals using Legendre wavelets and Gauss-Legendre quadrature. (Chinese. English summary) Zbl 1399.65106 Math. Pract. Theory 47, No. 13, 252-262 (2017). MSC: 65D30 65T60 PDFBibTeX XMLCite \textit{X. Xu} and \textit{J. Fan}, Math. Pract. Theory 47, No. 13, 252--262 (2017; Zbl 1399.65106)
Komisarski, Andrzej; Wąsowicz, Szymon Inequalities between remainders of quadratures. (English) Zbl 1382.41024 Aequationes Math. 91, No. 6, 1103-1114 (2017). Reviewer: Liu Zheng (Anshan) MSC: 41A55 26D15 26A51 PDFBibTeX XMLCite \textit{A. Komisarski} and \textit{S. Wąsowicz}, Aequationes Math. 91, No. 6, 1103--1114 (2017; Zbl 1382.41024) Full Text: DOI arXiv
Masjed-Jamei, Mohammad; Area, Iván A note on weighted quadrature rules. (English) Zbl 1386.65097 Math. Methods Appl. Sci. 40, No. 17, 6103-6113 (2017). MSC: 65D32 33C45 42C05 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} and \textit{I. Area}, Math. Methods Appl. Sci. 40, No. 17, 6103--6113 (2017; Zbl 1386.65097) Full Text: DOI
Behera, Dwiti Krushna; Das, Debasish; Dash, Rajani Ballav On the evaluation of integrals of analytic functions in adaptive integration scheme. (English) Zbl 1381.65025 Bull. Calcutta Math. Soc. 109, No. 3, 217-228 (2017). MSC: 65D32 30E20 65E05 PDFBibTeX XMLCite \textit{D. K. Behera} et al., Bull. Calcutta Math. Soc. 109, No. 3, 217--228 (2017; Zbl 1381.65025)
Kloeden, Peter; Shardlow, Tony Gauss-quadrature method for one-dimensional mean-field SDEs. (English) Zbl 1378.65035 SIAM J. Sci. Comput. 39, No. 6, A2784-A2807 (2017). MSC: 65C30 60H10 34F05 60H35 PDFBibTeX XMLCite \textit{P. Kloeden} and \textit{T. Shardlow}, SIAM J. Sci. Comput. 39, No. 6, A2784--A2807 (2017; Zbl 1378.65035) Full Text: DOI arXiv
Assari, Pouria The numerical solution of nonlinear integral equations of the second kind using thin plate spline discrete collocation method. (English) Zbl 1379.65098 Ric. Mat. 66, No. 2, 469-489 (2017). MSC: 65R20 45B05 45G10 PDFBibTeX XMLCite \textit{P. Assari}, Ric. Mat. 66, No. 2, 469--489 (2017; Zbl 1379.65098) Full Text: DOI
Bourquin, Raoul Algorithms for the construction of high-order Kronrod rule extensions with application to sparse-grid integration. (English) Zbl 1377.65032 Numer. Algorithms 76, No. 3, 617-637 (2017). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{R. Bourquin}, Numer. Algorithms 76, No. 3, 617--637 (2017; Zbl 1377.65032) Full Text: DOI
Jahanshahi, S.; Babolian, E.; Torres, D. F. M.; Vahidi, A. R. A fractional Gauss-Jacobi quadrature rule for approximating fractional integrals and derivatives. (English) Zbl 1422.65057 Chaos Solitons Fractals 102, 295-304 (2017). MSC: 65D32 26A33 49K05 PDFBibTeX XMLCite \textit{S. Jahanshahi} et al., Chaos Solitons Fractals 102, 295--304 (2017; Zbl 1422.65057) Full Text: DOI arXiv
Kamalakannan, M.; Prabhakar, V. A quadrature method for accurate estimation of nonlinear energy transfer in deep waters. (English) Zbl 1375.76118 Far East J. Appl. Math. 96, No. 4, 221-231 (2017). MSC: 76M22 65D32 76B15 76B60 86A05 PDFBibTeX XMLCite \textit{M. Kamalakannan} and \textit{V. Prabhakar}, Far East J. Appl. Math. 96, No. 4, 221--231 (2017; Zbl 1375.76118) Full Text: DOI
Cai, Haotao Convergence analysis of generalized Jacobi-Galerkin methods for second kind Volterra integral equations with weakly singular kernels. (English) Zbl 1376.65153 J. Funct. Spaces 2017, Article ID 4751357, 11 p. (2017). MSC: 65R20 45D05 45E10 PDFBibTeX XMLCite \textit{H. Cai}, J. Funct. Spaces 2017, Article ID 4751357, 11 p. (2017; Zbl 1376.65153) Full Text: DOI
Bentbib, A. H.; El Guide, M.; Jbilou, K. The block Lanczos algorithm for linear ill-posed problems. (English) Zbl 1376.65063 Calcolo 54, No. 3, 711-732 (2017). MSC: 65F22 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., Calcolo 54, No. 3, 711--732 (2017; Zbl 1376.65063) Full Text: DOI
Zhao, Longbin; Huang, Chengming An adaptive Filon-type method for oscillatory integrals without stationary points. (English) Zbl 1375.65042 Numer. Algorithms 75, No. 3, 753-775 (2017). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{C. Huang}, Numer. Algorithms 75, No. 3, 753--775 (2017; Zbl 1375.65042) Full Text: DOI
Shevchenko, Pavel V.; Luo, Xiaolin Valuation of variable annuities with guaranteed minimum withdrawal benefit under stochastic interest rate. (English) Zbl 1395.91503 Insur. Math. Econ. 76, 104-117 (2017). MSC: 91G60 91G20 91B30 93E20 60H10 PDFBibTeX XMLCite \textit{P. V. Shevchenko} and \textit{X. Luo}, Insur. Math. Econ. 76, 104--117 (2017; Zbl 1395.91503) Full Text: DOI arXiv
Wu, Kailiang; Shin, Yeonjong; Xiu, Dongbin A randomized tensor quadrature method for high dimensional polynomial approximation. (English) Zbl 1373.65012 SIAM J. Sci. Comput. 39, No. 5, A1811-A1833 (2017). MSC: 65D15 42C05 41A10 65D32 PDFBibTeX XMLCite \textit{K. Wu} et al., SIAM J. Sci. Comput. 39, No. 5, A1811--A1833 (2017; Zbl 1373.65012) Full Text: DOI
Wang, Tongke; Zhang, Zhiyue; Liu, Zhifang The practical Gauss type rules for Hadamard finite-part integrals using Puiseux expansions. (English) Zbl 1373.65017 Adv. Comput. Math. 43, No. 2, 319-350 (2017). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A60 41A55 PDFBibTeX XMLCite \textit{T. Wang} et al., Adv. Comput. Math. 43, No. 2, 319--350 (2017; Zbl 1373.65017) Full Text: DOI
Themistoclakis, Woula Some error bounds for Gauss-Jacobi quadrature rules. (English) Zbl 1372.65086 Appl. Numer. Math. 116, 286-293 (2017). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{W. Themistoclakis}, Appl. Numer. Math. 116, 286--293 (2017; Zbl 1372.65086) Full Text: DOI
Frommer, Andreas; Lund, Kathryn; Schweitzer, Marcel; Szyld, Daniel B. The Radau-Lanczos method for matrix functions. (English) Zbl 1371.65042 SIAM J. Matrix Anal. Appl. 38, No. 3, 710-732 (2017). MSC: 65F60 15B57 15B48 65D32 PDFBibTeX XMLCite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 38, No. 3, 710--732 (2017; Zbl 1371.65042) Full Text: DOI
Doha, Eid H.; Bhrawy, Ali H.; Hafez, Ramy M. Numerical algorithm for solving multi-pantograph delay equations on the half-line using Jacobi rational functions with convergence analysis. (English) Zbl 1371.65063 Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 297-310 (2017). MSC: 65L03 34K28 65L60 65L20 65L05 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 297--310 (2017; Zbl 1371.65063) Full Text: DOI
Xu, Zhenhua; Xiang, Shuhuang Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications. (English) Zbl 1371.65024 Int. J. Comput. Math. 94, No. 6, 1123-1137 (2017). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A55 65R20 45D05 45E10 PDFBibTeX XMLCite \textit{Z. Xu} and \textit{S. Xiang}, Int. J. Comput. Math. 94, No. 6, 1123--1137 (2017; Zbl 1371.65024) Full Text: DOI
Bhrawy, A. H.; Ezz-Eldien, S. S.; Doha, E. H.; Abdelkawy, M. A.; Baleanu, D. Solving fractional optimal control problems within a Chebyshev-Legendre operational technique. (English) Zbl 1370.49027 Int. J. Control 90, No. 6, 1230-1244 (2017). MSC: 49M30 34A08 65M70 33C45 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Int. J. Control 90, No. 6, 1230--1244 (2017; Zbl 1370.49027) Full Text: DOI
August, Moritz; Bañuls, Mari Carmen; Huckle, Thomas On the approximation of functionals of very large Hermitian matrices represented as matrix product operators. (English) Zbl 1369.65063 ETNA, Electron. Trans. Numer. Anal. 46, 215-232 (2017). MSC: 65F60 65D15 15B57 65F15 15A69 PDFBibTeX XMLCite \textit{M. August} et al., ETNA, Electron. Trans. Numer. Anal. 46, 215--232 (2017; Zbl 1369.65063) Full Text: arXiv EMIS
Laurita, C. A numerical method for the solution of exterior Neumann problems for the Laplace equation in domains with corners. (English) Zbl 1368.65246 Appl. Numer. Math. 119, 248-270 (2017). MSC: 65N38 35J05 PDFBibTeX XMLCite \textit{C. Laurita}, Appl. Numer. Math. 119, 248--270 (2017; Zbl 1368.65246) Full Text: DOI
Tang, Xiaojun; Shi, Yang; Xu, Heyong Fractional pseudospectral schemes with equivalence for fractional differential equations. (English) Zbl 1367.65114 SIAM J. Sci. Comput. 39, No. 3, A966-A982 (2017). MSC: 65L60 34A08 65L05 PDFBibTeX XMLCite \textit{X. Tang} et al., SIAM J. Sci. Comput. 39, No. 3, A966--A982 (2017; Zbl 1367.65114) Full Text: DOI
Lischke, Anna; Zayernouri, Mohsen; Karniadakis, George Em A Petrov-Galerkin spectral method of linear complexity for fractional multiterm ODEs on the half line. (English) Zbl 1367.65108 SIAM J. Sci. Comput. 39, No. 3, A922-A946 (2017). MSC: 65L05 65L60 34A30 34A08 PDFBibTeX XMLCite \textit{A. Lischke} et al., SIAM J. Sci. Comput. 39, No. 3, A922--A946 (2017; Zbl 1367.65108) Full Text: DOI
Kim, Soo Hyun; Moon, Hwan Pyo Rectifying control polygon for planar Pythagorean hodograph curves. (English) Zbl 1366.65025 Comput. Aided Geom. Des. 54, 1-14 (2017). MSC: 65D17 PDFBibTeX XMLCite \textit{S. H. Kim} and \textit{H. P. Moon}, Comput. Aided Geom. Des. 54, 1--14 (2017; Zbl 1366.65025) Full Text: DOI
Bentbib, A. H.; El Guide, M.; Jbilou, K.; Reichel, L. Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems. (English) Zbl 1365.65102 J. Comput. Appl. Math. 322, 46-56 (2017). MSC: 65F22 65F10 65R20 45B05 65R30 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., J. Comput. Appl. Math. 322, 46--56 (2017; Zbl 1365.65102) Full Text: DOI
Spalević, Miodrag M. On generalized averaged Gaussian formulas. II. (English) Zbl 1361.65012 Math. Comput. 86, No. 306, 1877-1885 (2017). MSC: 65D32 41A55 65Q30 PDFBibTeX XMLCite \textit{M. M. Spalević}, Math. Comput. 86, No. 306, 1877--1885 (2017; Zbl 1361.65012) Full Text: DOI
Illán-González, J.; Rebollido-Lorenzo, J. M. Evaluation of finite part integrals using a regularization technique that decreases instability. (English) Zbl 1358.41026 J. Comput. Appl. Math. 319, 210-219 (2017). MSC: 41A55 65D32 41A21 PDFBibTeX XMLCite \textit{J. Illán-González} and \textit{J. M. Rebollido-Lorenzo}, J. Comput. Appl. Math. 319, 210--219 (2017; Zbl 1358.41026) Full Text: DOI Link
Eshkuvatov, Z. K.; Kammuji, M.; Taib, Bachok M.; Nik Long, N. M. A. Effective approximation method for solving linear Fredholm-Volterra integral equations. (English) Zbl 1360.65304 Numer. Algebra Control Optim. 7, No. 1, 77-88 (2017). MSC: 65R20 45B05 45D05 45A05 PDFBibTeX XMLCite \textit{Z. K. Eshkuvatov} et al., Numer. Algebra Control Optim. 7, No. 1, 77--88 (2017; Zbl 1360.65304) Full Text: DOI
Petrova, Guergana Generalized Gauss-Radau and Gauss-Lobatto formulas with Jacobi weight functions. (English) Zbl 1360.65085 BIT 57, No. 1, 191-206 (2017). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{G. Petrova}, BIT 57, No. 1, 191--206 (2017; Zbl 1360.65085) Full Text: DOI
Jagels, Carl; Reichel, Lothar; Tang, Tunan Generalized averaged Szegő quadrature rules. (English) Zbl 1382.65070 J. Comput. Appl. Math. 311, 645-654 (2017). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{C. Jagels} et al., J. Comput. Appl. Math. 311, 645--654 (2017; Zbl 1382.65070) Full Text: DOI
Wang, Tongke; Liu, Zhifang; Zhang, Zhiyue The modified composite Gauss type rules for singular integrals using Puiseux expansions. (English) Zbl 1351.65018 Math. Comput. 86, No. 303, 345-373 (2017). MSC: 65D32 41A55 11M35 PDFBibTeX XMLCite \textit{T. Wang} et al., Math. Comput. 86, No. 303, 345--373 (2017; Zbl 1351.65018) Full Text: DOI