Tang, H. S.; Li, L.; Grossberg, M.; Liu, Y. J.; Jia, Y. M.; Li, S. S.; Dong, W. B. An exploratory study on machine learning to couple numerical solutions of partial differential equations. (English) Zbl 1462.65217 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105729, 11 p. (2021). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N55 65N06 68T07 35J05 35K20 PDF BibTeX XML Cite \textit{H. S. Tang} et al., Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105729, 11 p. (2021; Zbl 1462.65217) Full Text: DOI arXiv OpenURL
Kumar, Sandeep; Pathak, Ashish; Khan, Debashis Mathematical theory of subdivision. Finite element and wavelet methods. (English) Zbl 1432.65001 Boca Raton, FL: CRC Press (ISBN 978-1-138-05158-4/hbk; 978-1-315-16826-5/ebook). xv, 230 p. (2020). Reviewer: Dana Černá (Liberec) MSC: 65-01 65N30 42C40 PDF BibTeX XML Cite \textit{S. Kumar} et al., Mathematical theory of subdivision. Finite element and wavelet methods. Boca Raton, FL: CRC Press (2020; Zbl 1432.65001) Full Text: DOI OpenURL
Wei, Xiaofei; Cao, Wenjuan The existence of solutions for a class of second-order \(m\)-point boundary value problems. (Chinese. English summary) Zbl 1449.34061 Math. Pract. Theory 49, No. 20, 288-295 (2019). MSC: 34B10 34B15 PDF BibTeX XML Cite \textit{X. Wei} and \textit{W. Cao}, Math. Pract. Theory 49, No. 20, 288--295 (2019; Zbl 1449.34061) OpenURL
Hassan, S. Z.; Abdelrahman, Mahmoud A. E. A Riccati-Bernoulli sub-ODE method for some nonlinear evolution equations. (English) Zbl 1476.35238 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 3-4, 303-313 (2019). MSC: 35Q55 35L70 35A20 35C07 65L99 PDF BibTeX XML Cite \textit{S. Z. Hassan} and \textit{M. A. E. Abdelrahman}, Int. J. Nonlinear Sci. Numer. Simul. 20, No. 3--4, 303--313 (2019; Zbl 1476.35238) Full Text: DOI OpenURL
Fryklund, Fredrik; Lehto, Erik; Tornberg, Anna-Karin Partition of unity extension of functions on complex domains. (English) Zbl 1416.65475 J. Comput. Phys. 375, 57-79 (2018). MSC: 65N35 65N80 35J05 35J25 PDF BibTeX XML Cite \textit{F. Fryklund} et al., J. Comput. Phys. 375, 57--79 (2018; Zbl 1416.65475) Full Text: DOI arXiv OpenURL
Li, Yanfang; Xu, Genqi Stabilization of an Euler-Bernoulli beam with a tip mass under the unknown boundary external disturbances. (English) Zbl 1381.93084 J. Syst. Sci. Complex. 30, No. 4, 803-817 (2017). MSC: 93D15 74K10 93C10 93C20 35L20 PDF BibTeX XML Cite \textit{Y. Li} and \textit{G. Xu}, J. Syst. Sci. Complex. 30, No. 4, 803--817 (2017; Zbl 1381.93084) Full Text: DOI OpenURL
Jadlovska, Irena Iterative oscillation results for second-order differential equations with advanced argument. (English) Zbl 1370.34057 Electron. J. Differ. Equ. 2017, Paper No. 162, 11 p. (2017). MSC: 34C10 34K11 PDF BibTeX XML Cite \textit{I. Jadlovska}, Electron. J. Differ. Equ. 2017, Paper No. 162, 11 p. (2017; Zbl 1370.34057) Full Text: Link OpenURL
Dehghan, Mehdi; Mohammadi, Vahid Error analysis of method of lines (MOL) via generalized interpolating moving least squares (GIMLS) approximation. (English) Zbl 1366.65083 J. Comput. Appl. Math. 321, 540-554 (2017). MSC: 65M20 35K05 65M70 65M15 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{V. Mohammadi}, J. Comput. Appl. Math. 321, 540--554 (2017; Zbl 1366.65083) Full Text: DOI OpenURL
Whiteley, Jonathan Finite element methods. A practical guide. (English) Zbl 1366.65090 Mathematical Engineering. Cham: Springer (ISBN 978-3-319-49970-3/hbk; 978-3-319-49971-0/ebook). xi, 232 p. (2017). Reviewer: Michael Jung (Dresden) MSC: 65M60 65L60 65N30 65-01 34B05 34B15 35K20 35L20 35J25 35J60 65F10 65H10 PDF BibTeX XML Cite \textit{J. Whiteley}, Finite element methods. A practical guide. Cham: Springer (2017; Zbl 1366.65090) Full Text: DOI OpenURL
Reimer, Ashton S.; Cheviakov, Alexei F. Corrigendum to: “A Matlab-based finite difference solver for the Poisson problem with mixed Dirichlet-Neumann boundary conditions”. (English) Zbl 1375.35002 Comput. Phys. Commun. 209, 200-201 (2016). MSC: 35-04 35J05 65M06 35J25 PDF BibTeX XML Cite \textit{A. S. Reimer} and \textit{A. F. Cheviakov}, Comput. Phys. Commun. 209, 200--201 (2016; Zbl 1375.35002) Full Text: DOI OpenURL
Shivanian, Elyas Spectral meshless radial point interpolation (SMRPI) method to two-dimensional fractional telegraph equation. (English) Zbl 1339.65195 Math. Methods Appl. Sci. 39, No. 7, 1820-1835 (2016). MSC: 65M70 35L20 35R11 65M06 65M12 PDF BibTeX XML Cite \textit{E. Shivanian}, Math. Methods Appl. Sci. 39, No. 7, 1820--1835 (2016; Zbl 1339.65195) Full Text: DOI OpenURL
Bartels, Sören Numerical approximation of partial differential equations. (English) Zbl 1353.65089 Texts in Applied Mathematics 64. Cham: Springer (ISBN 978-3-319-32353-4/hbk; 978-3-319-32354-1/ebook). xv, 535 p. (2016). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Mxx 65Nxx 65M06 65M60 65N06 65N22 65N30 65N50 65N55 65-02 65N08 65M08 35J25 35K05 65F08 74S05 74B05 74K20 78A25 78M10 76D05 76M10 35L05 PDF BibTeX XML Cite \textit{S. Bartels}, Numerical approximation of partial differential equations. Cham: Springer (2016; Zbl 1353.65089) Full Text: DOI OpenURL
Saha Ray, Santanu Numerical analysis with algorithms and programming. (English) Zbl 1359.65002 Boca Raton, FL: CRC Press (ISBN 978-1-4987-4174-3/hbk; 978-1-4987-4182-8/ebook). xix, 685 p. (2016). Reviewer: Hang Lau (Montréal) MSC: 65-01 68N15 65Y15 65H05 65H10 65D05 65D07 65D25 65D32 65B15 65F05 65F10 65L06 65L10 65L12 65L60 65F15 65D10 65M06 35K20 35L20 65N06 35J05 65N30 PDF BibTeX XML Cite \textit{S. Saha Ray}, Numerical analysis with algorithms and programming. Boca Raton, FL: CRC Press (2016; Zbl 1359.65002) OpenURL
Blanes, Sergio; Casas, Fernando A concise introduction to geometric numerical integration. (English) Zbl 1343.65146 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-6342-8/hbk; 978-1-4822-6344-2/ebook). xiv, 218 p. (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P10 65M06 65M70 70F05 70H05 00A06 65-02 37M15 65L06 65L60 35K20 65L70 35Q41 PDF BibTeX XML Cite \textit{S. Blanes} and \textit{F. Casas}, A concise introduction to geometric numerical integration. Boca Raton, FL: CRC Press (2016; Zbl 1343.65146) Full Text: DOI OpenURL
Abd-Elhameed, W. M.; Youssri, Y. H.; Doha, E. H. A novel operational matrix method based on shifted Legendre polynomials for solving second-order boundary value problems involving singular, singularly perturbed and Bratu-type equations. (English) Zbl 1407.65080 Math. Sci., Springer 9, No. 2, 93-102 (2015). MSC: 65L60 34B16 34E15 42C10 PDF BibTeX XML Cite \textit{W. M. Abd-Elhameed} et al., Math. Sci., Springer 9, No. 2, 93--102 (2015; Zbl 1407.65080) Full Text: DOI OpenURL
Tian, WenYi; Deng, Weihua; Wu, Yujiang Polynomial spectral collocation method for space fractional advection-diffusion equation. (English) Zbl 1287.65093 Numer. Methods Partial Differ. Equations 30, No. 2, 514-535 (2014). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 35K20 35R11 35K55 65M12 PDF BibTeX XML Cite \textit{W. Tian} et al., Numer. Methods Partial Differ. Equations 30, No. 2, 514--535 (2014; Zbl 1287.65093) Full Text: DOI arXiv OpenURL
Milani, G. Closed form analytical approach for a second order non-linear ODE interpreting EPDM vulcanization with peroxides. (English) Zbl 1320.92090 J. Math. Chem. 51, No. 8, 2033-2061 (2013). MSC: 92E20 92C45 PDF BibTeX XML Cite \textit{G. Milani}, J. Math. Chem. 51, No. 8, 2033--2061 (2013; Zbl 1320.92090) Full Text: DOI OpenURL
Reimer, Ashton S.; Cheviakov, Alexei F. A Matlab-based finite-difference solver for the Poisson problem with mixed Dirichlet-Neumann boundary conditions. (English) Zbl 1302.35005 Comput. Phys. Commun. 184, No. 3, 783-798 (2013); corrigendum ibid. 209, 200-201 (2016). MSC: 35-04 35J05 65M06 35J25 PDF BibTeX XML Cite \textit{A. S. Reimer} and \textit{A. F. Cheviakov}, Comput. Phys. Commun. 184, No. 3, 783--798 (2013; Zbl 1302.35005) Full Text: DOI OpenURL
Botchev, M. A. A block Krylov subspace time-exact solution method for linear ordinary differential equation systems. (English) Zbl 1313.65181 Numer. Linear Algebra Appl. 20, No. 4, 557-574 (2013). Reviewer: Jaroslav Hron (Praha) MSC: 65L05 65F60 65F10 65M20 35K20 34A30 35L05 35Q61 PDF BibTeX XML Cite \textit{M. A. Botchev}, Numer. Linear Algebra Appl. 20, No. 4, 557--574 (2013; Zbl 1313.65181) Full Text: DOI OpenURL
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M. Efficient Jacobi-Gauss collocation method for solving initial value problems of Bratu type. (English) Zbl 1299.65244 Zh. Vychisl. Mat. Mat. Fiz. 53, No. 9, 1480-1480 (2013); translation in Comput. Math. Math. Phys. 53, No. 9, 1292-1302 (2013). MSC: 65M70 35K55 80A25 80A20 80M22 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Zh. Vychisl. Mat. Mat. Fiz. 53, No. 9, 1480--1480 (2013; Zbl 1299.65244); translation in Comput. Math. Math. Phys. 53, No. 9, 1292--1302 (2013) Full Text: DOI OpenURL
Baggett, Jason; Bastille, Odile; Rybkin, Alexei A step-like approximation and a new numerical schema for the Korteweg-de Vries equation in the soliton region. (English) Zbl 1312.65169 Electron. J. Differ. Equ. 2013, Paper No. 40, 20 p. (2013). MSC: 65M99 35Q53 35K40 35P25 35R30 37K10 37K15 PDF BibTeX XML Cite \textit{J. Baggett} et al., Electron. J. Differ. Equ. 2013, Paper No. 40, 20 p. (2013; Zbl 1312.65169) Full Text: arXiv EMIS OpenURL
Rachůnková, Irena; Spielauer, Alexander; Staněk, Svatoslav; Weinmüller, Ewa B. Positive solutions of nonlinear Dirichlet BVPs in ODEs with time and space singularities. (English) Zbl 1284.34036 Bound. Value Probl. 2013, Paper No. 6, 22 p. (2013). MSC: 34B18 34B16 47N20 PDF BibTeX XML Cite \textit{I. Rachůnková} et al., Bound. Value Probl. 2013, Paper No. 6, 22 p. (2013; Zbl 1284.34036) Full Text: DOI OpenURL
Milani, G.; Milani, F. Differential model accounting for reversion for EPDM vulcanized with peroxides. (English) Zbl 1402.92461 J. Math. Chem. 51, No. 3, 1116-1133 (2013). MSC: 92E20 PDF BibTeX XML Cite \textit{G. Milani} and \textit{F. Milani}, J. Math. Chem. 51, No. 3, 1116--1133 (2013; Zbl 1402.92461) Full Text: DOI OpenURL
Tsiklauri, Z. Numerical calculation of a two-dimensional static Kirchhoff equation. (English) Zbl 1286.35168 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 26, 84-86 (2012). MSC: 35L70 35-04 PDF BibTeX XML Cite \textit{Z. Tsiklauri}, Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 26, 84--86 (2012; Zbl 1286.35168) OpenURL
Bhrawy, Ali H.; Alofi, A. S. A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations. (English) Zbl 1244.65099 Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 62-70 (2012). MSC: 65L05 65L60 34A34 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{A. S. Alofi}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 62--70 (2012; Zbl 1244.65099) Full Text: DOI OpenURL
Milani, G.; Milani, F. EPDM accelerated sulfur vulcanization: A kinetic model based on a genetic algorithm. (English) Zbl 1303.92155 J. Math. Chem. 49, No. 7, 1357-1383 (2011). MSC: 92E20 PDF BibTeX XML Cite \textit{G. Milani} and \textit{F. Milani}, J. Math. Chem. 49, No. 7, 1357--1383 (2011; Zbl 1303.92155) Full Text: DOI OpenURL
Joppich, Wolfgang Foundations of the multigrid method. Introduction to standard procedures. (Grundlagen der Mehrgittermethode. Einführung in Standardverfahren.) (German) Zbl 1241.65111 Berichte aus der Mathematik. Aachen: Shaker (ISBN 978-3-8322-9963-7/pbk). xiv, 194 p. (2011). Reviewer: Jan Mandel (Denver) MSC: 65N55 65M55 65F10 35J25 35J05 65M06 65M80 65N06 65N30 65-01 35K05 35K20 65Y15 PDF BibTeX XML Cite \textit{W. Joppich}, Grundlagen der Mehrgittermethode. Einführung in Standardverfahren. Aachen: Shaker (2011; Zbl 1241.65111) Full Text: Link OpenURL
Platte, R. B.; Trefethen, L. N. Chebfun: A new kind of numerical computing. (English) Zbl 1220.65100 Fitt, Alistair D. (ed.) et al., Progress in industrial mathematics at ECMI 2008. Proceedings of the 15th European conference on mathematics for industry, London, UK, June 30 - July 4, 2008. Berlin: Springer (ISBN 978-3-642-12109-8/hbk; 978-3-642-12110-4/ebook). Mathematics in Industry 15, 69-87 (2010). MSC: 65L10 68W30 65Y15 34B05 65L15 34L16 65D15 35K20 65M06 35Q55 PDF BibTeX XML Cite \textit{R. B. Platte} and \textit{L. N. Trefethen}, Math. Ind. 15, 69--87 (2010; Zbl 1220.65100) Full Text: DOI OpenURL
Jeffrey, Alan Applied partial differential equations. An introduction. (English) Zbl 1037.35001 San Diego, CA: Academic Press (ISBN 0-12-382252-1/hbk). xiv, 394 p. (2003). Reviewer: Dian K. Palagachev (Bari) MSC: 35-01 PDF BibTeX XML Cite \textit{A. Jeffrey}, Applied partial differential equations. An introduction. San Diego, CA: Academic Press (2003; Zbl 1037.35001) OpenURL
Jódar, Lucas Boundary value problems for coupled systems of second order differential equations with a singularity of the first kind: Explicit solutions. (English) Zbl 0795.34011 Appl. Math., Praha 39, No. 1, 1-13 (1994). MSC: 34B05 34A05 PDF BibTeX XML Cite \textit{L. Jódar}, Appl. Math., Praha 39, No. 1, 1--13 (1994; Zbl 0795.34011) Full Text: EuDML OpenURL
Jódar, Lucas; Navarro, Enrique Solving coupled systems of linear second-order differential equations knowing a part of the spectrum of the companion matrix. (English) Zbl 0743.34005 J. Comput. Appl. Math. 39, No. 1, 115-119 (1992). MSC: 34A05 65J99 65L20 PDF BibTeX XML Cite \textit{L. Jódar} and \textit{E. Navarro}, J. Comput. Appl. Math. 39, No. 1, 115--119 (1992; Zbl 0743.34005) Full Text: DOI OpenURL