Divakov, D. V.; Tyutyunnik, A. A. Symbolic-numerical implementation of the Galerkin method for approximate solution of the waveguide diffraction problem. (English. Russian original) Zbl 1526.65053 Program. Comput. Softw. 49, No. 2, 100-107 (2023); translation from Programmirovanie 49, No. 2, 46-53 (2023). MSC: 65N30 68W30 65H05 78A50 78A45 35J05 34B24 34B09 78M10 PDFBibTeX XMLCite \textit{D. V. Divakov} and \textit{A. A. Tyutyunnik}, Program. Comput. Softw. 49, No. 2, 100--107 (2023; Zbl 1526.65053); translation from Programmirovanie 49, No. 2, 46--53 (2023) Full Text: DOI
Divakov, D. V.; Tyutyunnik, A. A. Symbolic investigation of the spectral characteristics of guided modes in smoothly irregular waveguides. (English. Russian original) Zbl 1501.65097 Program. Comput. Softw. 48, No. 2, 80-89 (2022); translation from Programmirovanie 48, No. 2, 23-32 (2022). MSC: 65N25 68W30 65F15 35C20 35B40 35J05 78A50 35Q60 35R10 PDFBibTeX XMLCite \textit{D. V. Divakov} and \textit{A. A. Tyutyunnik}, Program. Comput. Softw. 48, No. 2, 80--89 (2022; Zbl 1501.65097); translation from Programmirovanie 48, No. 2, 23--32 (2022) Full Text: DOI
Kushner, Alexei G.; Matviichuk, Ruslan I. Dynamics and exact solutions of non-evolutionary partial differential equations. (English) Zbl 1467.35083 Differ. Geom. Appl. 76, Article ID 101761, 12 p. (2021). MSC: 35C05 35A30 35B06 35J05 35M10 PDFBibTeX XMLCite \textit{A. G. Kushner} and \textit{R. I. Matviichuk}, Differ. Geom. Appl. 76, Article ID 101761, 12 p. (2021; Zbl 1467.35083) Full Text: DOI
Volkmer, Hans W.; Xie, Dexuan Study of local and nonlocal Poisson-Boltzmann equations for linear and nonlinear models with spherical symmetry. (English) Zbl 1416.35284 J. Comput. Appl. Math. 362, 653-662 (2019). MSC: 35Q92 35J05 35Q20 65L10 92C40 PDFBibTeX XMLCite \textit{H. W. Volkmer} and \textit{D. Xie}, J. Comput. Appl. Math. 362, 653--662 (2019; Zbl 1416.35284) Full Text: DOI
Chaouqui, F.; Ciaramella, G.; Gander, M. J.; Vanzan, T. On the scalability of classical one-level domain-decomposition methods. (English) Zbl 1406.65128 Vietnam J. Math. 46, No. 4, 1053-1088 (2018). MSC: 65N55 65F10 65N22 70-08 35J05 35J57 PDFBibTeX XMLCite \textit{F. Chaouqui} et al., Vietnam J. Math. 46, No. 4, 1053--1088 (2018; Zbl 1406.65128) Full Text: DOI
Trefethen, Lloyd N. Series solution of Laplace problems. (English) Zbl 1400.31001 ANZIAM J. 60, No. 1, 1-26 (2018). MSC: 31A05 35J05 35J08 31-01 35-01 PDFBibTeX XMLCite \textit{L. N. Trefethen}, ANZIAM J. 60, No. 1, 1--26 (2018; Zbl 1400.31001) Full Text: DOI arXiv
Heydari, Mohammad Hossein; Avazzadeh, Zakieh Legendre wavelets optimization method for variable-order fractional Poisson equation. (English) Zbl 1398.65316 Chaos Solitons Fractals 112, 180-190 (2018). MSC: 65N35 35R11 65K10 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{Z. Avazzadeh}, Chaos Solitons Fractals 112, 180--190 (2018; Zbl 1398.65316) Full Text: DOI
Lavrova, Olga; Polevikov, Viktor Application of collocation BEM for axisymmetric transmission problems in electro- and magnetostatics. (English) Zbl 1488.65700 Math. Model. Anal. 21, No. 1, 16-34 (2016). MSC: 65N38 65N35 78A30 35J05 35J25 PDFBibTeX XMLCite \textit{O. Lavrova} and \textit{V. Polevikov}, Math. Model. Anal. 21, No. 1, 16--34 (2016; Zbl 1488.65700) Full Text: DOI
Boyack, Rufus; Lekner, John Confluent Heun functions and separation of variables in spheroidal coordinates. (English) Zbl 1317.35019 J. Math. Phys. 52, No. 7, 073517, 8 p. (2011). MSC: 35J05 35J10 33E10 33C15 35B40 PDFBibTeX XMLCite \textit{R. Boyack} and \textit{J. Lekner}, J. Math. Phys. 52, No. 7, 073517, 8 p. (2011; Zbl 1317.35019) Full Text: DOI
Chaigne, Benoît; Désidéri, Jean-Antoine Convergence of a two-level ideal algorithm for a parametric shape inverse model problem. (English) Zbl 1220.65075 Inverse Probl. Sci. Eng. 19, No. 3, 363-393 (2011). MSC: 65K10 49Q10 49M05 49N45 49M25 PDFBibTeX XMLCite \textit{B. Chaigne} and \textit{J.-A. Désidéri}, Inverse Probl. Sci. Eng. 19, No. 3, 363--393 (2011; Zbl 1220.65075) Full Text: DOI
Bernatz, Richard A. Fourier series and numerical methods for partial differential equations. (English) Zbl 1206.65206 Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-61796-0/hbk; 978-0-470-65138-4/ebook). xiii, 318 p. (2010). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Mxx 65Nxx 35J05 35K05 35L05 35P10 42A16 65T40 34B24 65L15 65-01 PDFBibTeX XMLCite \textit{R. A. Bernatz}, Fourier series and numerical methods for partial differential equations. Hoboken, NJ: John Wiley \& Sons (2010; Zbl 1206.65206) Full Text: DOI
Zauderer, Erich Partial differential equations of applied mathematics. 3rd ed. (English) Zbl 1103.35001 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs, and Tracts. Hoboken, NJ: John Wiley & Sons (ISBN 0-471-69073-2/hbk). xxvii, 930 p. (2006). Reviewer: Lutz Recke (Berlin) MSC: 35-01 35J05 35L20 35A08 35A15 35A22 35B20 35B50 35C15 35C20 35L67 35L70 35Q30 44A10 PDFBibTeX XMLCite \textit{E. Zauderer}, Partial differential equations of applied mathematics. 3rd ed. Hoboken, NJ: John Wiley \& Sons (2006; Zbl 1103.35001)
Abe, Yutaka Introduction to numerical solutions of elliptic equations (finite difference scheme). (English) Zbl 1107.65095 Kotsireas, Ilias S. (ed.), Maple conference 2005. Proceedings of the conference, Waterloo Ontario, Canada, July 17–21, 2005.With the assistance of Ian J. Sinclair, James Duketow, Robert M. Kalbfleisch. Waterloo: Maplesoft (ISBN 1-894511-85-9/pbk). 168-190 (2005). MSC: 65N06 65F10 35J05 PDFBibTeX XMLCite \textit{Y. Abe}, in: Maple conference 2005. Proceedings of the conference, Waterloo Ontario, Canada, July 17--21, 2005. With the assistance of Ian J. Sinclair, James Duketow, Robert M. Kalbfleisch. Waterloo: Maplesoft. 168--190 (2005; Zbl 1107.65095)
Hwang, Chyi; Cheng, Yi-Cheng A note on the use of the Lambert W function in the stability analysis of time-delay systems. (English) Zbl 1125.93440 Automatica 41, No. 11, 1979-1985 (2005). MSC: 93D05 34K20 93C23 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{Y.-C. Cheng}, Automatica 41, No. 11, 1979--1985 (2005; Zbl 1125.93440) Full Text: DOI
Bildik, Necdet; Avci, Gülhan On the solution of Poisson equation by alternating group explicit iterative method. (English) Zbl 1073.65112 Appl. Math. Comput. 166, No. 2, 411-425 (2005). MSC: 65N06 65F10 65J05 PDFBibTeX XMLCite \textit{N. Bildik} and \textit{G. Avci}, Appl. Math. Comput. 166, No. 2, 411--425 (2005; Zbl 1073.65112) Full Text: DOI
Bildik, Necdet; Özlü, Sevil On the numerical solution of Helmholtz equation by alternating group explicit (AGE) methods. (English) Zbl 1060.65656 Appl. Math. Comput. 163, No. 1, 505-518 (2005). MSC: 65N06 65F10 35J05 PDFBibTeX XMLCite \textit{N. Bildik} and \textit{S. Özlü}, Appl. Math. Comput. 163, No. 1, 505--518 (2005; Zbl 1060.65656) Full Text: DOI
Bettess, Peter; Shirron, Joseph; Laghrouche, Omar; Peseux, Bernard; Sugimoto, Rie; Trevelyan, Jon A numerical integration scheme for special finite elements for the Helmholtz equation. (English) Zbl 1022.65126 Int. J. Numer. Methods Eng. 56, No. 4, 531-552 (2003). MSC: 65N30 35J05 PDFBibTeX XMLCite \textit{P. Bettess} et al., Int. J. Numer. Methods Eng. 56, No. 4, 531--552 (2003; Zbl 1022.65126) Full Text: DOI HAL
Cap, Ferdinand F. Mathematical methods in physics and engineering with Mathematica. (English) Zbl 1044.65001 Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series. Boca Raton, FL: Chapman and Hall/CRC (ISBN 978-1-58488-402-6/hbk; 978-0-367-39518-6/pbk; 978-0-203-50260-0/ebook). viii, 340 p. (2003). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65-01 65L10 34-01 35-01 65M70 65N35 34B05 34B15 34L15 65L15 35L05 35J05 30C30 35J65 35Q51 PDFBibTeX XMLCite \textit{F. F. Cap}, Mathematical methods in physics and engineering with Mathematica. Boca Raton, FL: Chapman and Hall/CRC (2003; Zbl 1044.65001) Full Text: DOI
Christiansen, Søren Derivation and investigation of fifth order quadrature formulas for biharmonic boundary integral operators. (English) Zbl 0977.65109 Appl. Numer. Math. 37, No. 1-2, 145-159 (2001). Reviewer: J.C.F.Telles (Rio de Janeiro) MSC: 65N38 65D32 35J40 65N12 31A30 31A10 PDFBibTeX XMLCite \textit{S. Christiansen}, Appl. Numer. Math. 37, No. 1--2, 145--159 (2001; Zbl 0977.65109) Full Text: DOI
Juráš, Martin Some classification results for hyperbolic equations \(F(x,y,u,u_x,u_y,u_{xx},u_{xy},u_{yy})=0\). (English) Zbl 0959.35123 J. Differ. Equations 164, No. 2, 296-320 (2000). Reviewer: H.Tanabe (Toyonaka) MSC: 35L70 35A22 35L10 PDFBibTeX XMLCite \textit{M. Juráš}, J. Differ. Equations 164, No. 2, 296--320 (2000; Zbl 0959.35123) Full Text: DOI
Pina, Heitor L. Numerical quadrature over triangles with weak singularities. (English) Zbl 0959.65133 Int. J. Numer. Methods Eng. 45, No. 12, 1871-1885 (1999). MSC: 65N38 65Y20 35J05 PDFBibTeX XMLCite \textit{H. L. Pina}, Int. J. Numer. Methods Eng. 45, No. 12, 1871--1885 (1999; Zbl 0959.65133) Full Text: DOI
Stavroulakis, Ioannis P.; Tersian, Stepan A. Partial differential equations. An introduction with Mathematica and MAPLE. (English) Zbl 0940.35001 Singapore: World Scientific. x, 297 p. (1999). Reviewer: Reinhard Hochmuth (Berlin) MSC: 35-01 35C99 35F05 35J05 35K05 35L05 35C10 PDFBibTeX XMLCite \textit{I. P. Stavroulakis} and \textit{S. A. Tersian}, Partial differential equations. An introduction with Mathematica and MAPLE. Singapore: World Scientific (1999; Zbl 0940.35001)
Chadwick, Edmund; Bettess, Peter; Laghrouche, Omar Diffraction of short waves modelled using new mapped wave envelope finite and infinite elements. (English) Zbl 0935.65118 Int. J. Numer. Methods Eng. 45, No. 3, 335-354 (1999). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N30 35J05 65N55 PDFBibTeX XMLCite \textit{E. Chadwick} et al., Int. J. Numer. Methods Eng. 45, No. 3, 335--354 (1999; Zbl 0935.65118) Full Text: DOI
O’Neil, Peter V. Beginning partial differential equations. (English) Zbl 0938.35001 New York, NY: Wiley. x, 500 p. (1999). Reviewer: L.Debnath (Orlando) MSC: 35-01 35J05 35K05 35L05 PDFBibTeX XMLCite \textit{P. V. O'Neil}, Beginning partial differential equations. New York, NY: Wiley (1999; Zbl 0938.35001)
Christiansen, Søren Derivation and analytical investigation of three direct boundary integral equations for the fundamental biharmonic problem. (English) Zbl 0935.65132 J. Comput. Appl. Math. 91, No. 2, 231-247 (1998). Reviewer: J.C.F.Telles (Rio de Janeiro) MSC: 65N38 35J40 31A30 PDFBibTeX XMLCite \textit{S. Christiansen}, J. Comput. Appl. Math. 91, No. 2, 231--247 (1998; Zbl 0935.65132) Full Text: DOI
Christiansen, S. On the elastostatic significance of four boundary integrals involving biharmonic functions. (English) Zbl 0903.73010 Acta Mech. 126, No. 1-4, 37-43 (1998). Reviewer: I.Ecsedi (Miskolc-Egyetemvaros) MSC: 74B10 31A30 PDFBibTeX XMLCite \textit{S. Christiansen}, Acta Mech. 126, No. 1--4, 37--43 (1998; Zbl 0903.73010) Full Text: DOI
Pina, H. L. Analytical integration in the 2D boundary element method. (English) Zbl 0890.65120 Commun. Numer. Methods Eng. 13, No. 9, 715-725 (1997). Reviewer: J.Elschner (Berlin) MSC: 65N38 31A30 35Q30 35J05 35J40 PDFBibTeX XMLCite \textit{H. L. Pina}, Commun. Numer. Methods Eng. 13, No. 9, 715--725 (1997; Zbl 0890.65120) Full Text: DOI
Choi, K. P. On the medians of gamma distributions and an equation of Ramanujan. (English) Zbl 0803.62007 Proc. Am. Math. Soc. 121, No. 1, 245-251 (1994). MSC: 62E10 41A58 62E20 33B15 PDFBibTeX XMLCite \textit{K. P. Choi}, Proc. Am. Math. Soc. 121, No. 1, 245--251 (1994; Zbl 0803.62007) Full Text: DOI
Garbey, Marc; Kaper, Hans G.; Kwong, Man Kam Symbolic manipulation software and the study of differential equations. (English) Zbl 0739.65103 Asymptotic analysis and the numerical solution of partial differential equations, Proc. Workshop, Argonne/IL (USA) 1990, Lect. Notes Pure Appl. Math. 130, 241-265 (1991). Reviewer: K.Zlateva (Russe) MSC: 65Z05 35Q72 35J65 68W30 PDFBibTeX XMLCite \textit{M. Garbey} et al., Lect. Notes Pure Appl. Math. None, 241--265 (1991; Zbl 0739.65103)