Sekine, Kouta; Nakao, Mitsuhiro T.; Oishi, Shin’ichi; Kashiwagi, Masahide A numerical proof algorithm for the non-existence of solutions to elliptic boundary value problems. (English) Zbl 1479.65038 Appl. Numer. Math. 169, 87-107 (2021). MSC: 65N99 35J25 35J05 68V05 47H10 PDF BibTeX XML Cite \textit{K. Sekine} et al., Appl. Numer. Math. 169, 87--107 (2021; Zbl 1479.65038) Full Text: DOI OpenURL
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
Farcaş, I.-G.; Latz, J.; Ullmann, E.; Neckel, T.; Bungartz, H.-J. Multilevel adaptive sparse Leja approximations for Bayesian inverse problems. (English) Zbl 1432.35250 SIAM J. Sci. Comput. 42, No. 1, A424-A451 (2020). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 35R30 65D30 35J25 62F15 65N30 68T05 62-08 PDF BibTeX XML Cite \textit{I. G. Farcaş} et al., SIAM J. Sci. Comput. 42, No. 1, A424--A451 (2020; Zbl 1432.35250) Full Text: DOI arXiv OpenURL
Wallace, Rodrick Information theory models of instabilities in critical systems. (English) Zbl 1415.92005 World Scientific Series in Information Studies 7. Hackensack, NJ: World Scientific (ISBN 978-981-3147-28-7/hbk; 978-981-3147-30-0/ebook). xiv, 230 p. (2017). Reviewer: Irina Ioana Mohorianu (Oxford) MSC: 92-02 94-02 92C42 92C20 68T05 94A15 PDF BibTeX XML Cite \textit{R. Wallace}, Information theory models of instabilities in critical systems. Hackensack, NJ: World Scientific (2017; Zbl 1415.92005) Full Text: DOI OpenURL
Duarte, L. G. S.; da Mota, L. A. C. P.; Nunez, E. Finding first order differential invariants through the \(S\)-function. (English) Zbl 1375.34056 Comput. Phys. Commun. 207, 542-544 (2016). MSC: 34C14 34-04 34C20 68W30 PDF BibTeX XML Cite \textit{L. G. S. Duarte} et al., Comput. Phys. Commun. 207, 542--544 (2016; Zbl 1375.34056) Full Text: DOI OpenURL
Milk, René; Rave, Stephan; Schindler, Felix PyMOR – generic algorithms and interfaces for model order reduction. (English) Zbl 1352.65453 SIAM J. Sci. Comput. 38, No. 5, S194-S216 (2016). MSC: 65N22 65Y15 65Y20 35L03 35J20 68N01 PDF BibTeX XML Cite \textit{R. Milk} et al., SIAM J. Sci. Comput. 38, No. 5, S194--S216 (2016; Zbl 1352.65453) Full Text: DOI arXiv 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
Mosleh, Maryam; Otadi, Mahmood Solving the second order fuzzy differential equations by fuzzy neural network. (English) Zbl 1314.34012 J. Math. Ext. 8, No. 1, 11-27 (2014). MSC: 34A07 34A45 68T20 PDF BibTeX XML Cite \textit{M. Mosleh} and \textit{M. Otadi}, J. Math. Ext. 8, No. 1, 11--27 (2014; Zbl 1314.34012) OpenURL
Alnæs, Martin S.; Logg, Anders; Ølgaard, Kristian B.; Rognes, Marie E.; Wells, Garth N. Unified form language: a domain-specific language for weak formulations of partial differential equations. (English) Zbl 1308.65175 ACM Trans. Math. Softw. 40, No. 2, Article No. 1, 37 p. (2014). MSC: 65M99 65N99 65M60 65N30 65D25 68W30 68N15 35J05 35J25 65Y04 PDF BibTeX XML Cite \textit{M. S. Alnæs} et al., ACM Trans. Math. Softw. 40, No. 2, Article No. 1, 37 p. (2014; Zbl 1308.65175) Full Text: DOI arXiv 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
Shi, Zhengping Computing eigenvalue of the differential equation \(x''+\lambda p(t)x=0\) based on computer. (Chinese. English summary) Zbl 1224.34283 Pure Appl. Math. 26, No. 3, 501-507 (2010). MSC: 34L16 68N30 PDF BibTeX XML Cite \textit{Z. Shi}, Pure Appl. Math. 26, No. 3, 501--507 (2010; Zbl 1224.34283) OpenURL
Owhadi, Houman; Zhang, Lei Homogenization of parabolic equations with a continuum of space and time scales. (English) Zbl 1170.34037 SIAM J. Numer. Anal. 46, No. 1, 1-36 (2008). Reviewer: Fabio Paronetto (Padova) MSC: 34D10 35B27 68P30 60F05 35B05 35K20 35A35 PDF BibTeX XML Cite \textit{H. Owhadi} and \textit{L. Zhang}, SIAM J. Numer. Anal. 46, No. 1, 1--36 (2008; Zbl 1170.34037) Full Text: DOI arXiv Link OpenURL
Knapp, R. A method of lines framework in Mathematica. (English) Zbl 1154.65070 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 3, No. 1-2, 43-59 (2008). MSC: 65M20 65M06 68W30 35-04 35L70 35Q53 PDF BibTeX XML Cite \textit{R. Knapp}, JNAIAM, J. Numer. Anal. Ind. Appl. Math. 3, No. 1--2, 43--59 (2008; Zbl 1154.65070) OpenURL
Luo, Hongwen; Ma, Siliang; Xu, Zhongyu Segementation of microscopic cell image based on level set methods. (Chinese. English summary) Zbl 1123.35304 J. Jilin Univ., Sci. 44, No. 5, 760-763 (2006). MSC: 35A35 35K10 68U10 PDF BibTeX XML Cite \textit{H. Luo} et al., J. Jilin Univ., Sci. 44, No. 5, 760--763 (2006; Zbl 1123.35304) OpenURL
Malkowsky, E. Visualisation and animation in mathematics and physics. (English) Zbl 1094.53003 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3227-6). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(3), 1415-1422 (2004). Reviewer: M. O. Nesterenko (Kyïv) MSC: 53A05 53-04 68N19 68U05 65D18 PDF BibTeX XML Cite \textit{E. Malkowsky}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine. 1415--1422 (2004; Zbl 1094.53003) OpenURL
Gil, Yossi; Gutterman, Zvika; Onn, Shmuel; Yavneh, Irad Automated transformations for PDE systems with application to multigrid solvers. (English) Zbl 1035.65148 SIAM J. Sci. Comput. 24, No. 3, 886-904 (2002). MSC: 65N55 35J25 35Q30 13P10 76D07 65N06 68W30 76M25 PDF BibTeX XML Cite \textit{Y. Gil} et al., SIAM J. Sci. Comput. 24, No. 3, 886--904 (2002; Zbl 1035.65148) Full Text: DOI OpenURL
Li, Ziming; Schwarz, Fritz Rational solutions of Riccati-like partial differential equations. (English) Zbl 0985.34007 J. Symb. Comput. 31, No. 6, 691-716 (2001). Reviewer: Valery V.Karachik (Tashkent) MSC: 34A25 35C05 34A05 65D15 68W30 35G20 PDF BibTeX XML Cite \textit{Z. Li} and \textit{F. Schwarz}, J. Symb. Comput. 31, No. 6, 691--716 (2001; Zbl 0985.34007) Full Text: DOI Link OpenURL
Pollak, Ilya; Willsky, Alan S.; Krim, Hamid Image segmentation and edge enhancement with stabilized inverse diffusion equations. (English) Zbl 0979.65059 IEEE Trans. Image Process. 9, No. 2, 256-266 (2000). MSC: 65L05 65L12 35K15 34A34 68U10 65M20 PDF BibTeX XML Cite \textit{I. Pollak} et al., IEEE Trans. Image Process. 9, No. 2, 256--266 (2000; Zbl 0979.65059) Full Text: DOI Link OpenURL
Schwarz, F. Solving second order ordinary differential equations with maximal symmetry group. (English) Zbl 0934.34001 Computing 62, No. 1, 1-10 (1999). Reviewer: Karin Gatermann (Berlin) MSC: 34A25 68W30 34A05 34B30 PDF BibTeX XML Cite \textit{F. Schwarz}, Computing 62, No. 1, 1--10 (1999; Zbl 0934.34001) Full Text: DOI OpenURL
Kuipers, Jack B. Quaternions and rotation sequences. A primer with applications to orbits, aerospace, and virtual reality. (English) Zbl 0917.15004 Princeton, NJ: Princeton University Press. xxii, 371 p. (1998). Reviewer: N.D.Sengupta (Bombay) MSC: 15B33 15A90 86A30 34A30 85A99 70M20 68U07 70F15 PDF BibTeX XML Cite \textit{J. B. Kuipers}, Quaternions and rotation sequences. A primer with applications to orbits, aerospace, and virtual reality. Princeton, NJ: Princeton University Press (1998; Zbl 0917.15004) OpenURL
Ulmer, Felix; Weil, Jacques-Arthur Note on Kovacic’s algorithm. (English) Zbl 0871.12008 J. Symb. Comput. 22, No. 2, 179-200 (1996). Reviewer: G.G.Vrănceanu (Bucureşti) MSC: 12H05 34A30 12H20 68W30 PDF BibTeX XML Cite \textit{F. Ulmer} and \textit{J.-A. Weil}, J. Symb. Comput. 22, No. 2, 179--200 (1996; Zbl 0871.12008) Full Text: DOI OpenURL
Ganzha, V. G.; Vorozhtsov, E. V. Numerical solutions for partial differential equations. Problem solving using \(Mathematica\). Incl. 1 disc. (English) Zbl 0861.65069 Boca Raton, FL: CRC Press. 347 p. (1996). Reviewer: G.Stoyan (Budapest) MSC: 65Mxx 65-02 68W30 35L15 65Nxx 65F10 35K15 35J25 PDF BibTeX XML Cite \textit{V. G. Ganzha} and \textit{E. V. Vorozhtsov}, Numerical solutions for partial differential equations. Problem solving using \(Mathematica\). Incl. 1 disc. Boca Raton, FL: CRC Press (1996; Zbl 0861.65069) OpenURL
Pons, Roland; Marcilhacy, Gilbert Solutions of the differential equation \(x^ 2y''=(x^ 3+a_ 2x^ 2+a_ 1x+a_ 0)y\) by Kovacic’s algorithm. (Solutions de l’équation différentielle \(x^ 2y''=(x^ 3+a_ 2x^ 2+a_ 1 x+a_ 0)y\) par l’algorithme de Kovacic.) (French) Zbl 0835.65091 Bull. Sci. Math. 119, No. 3, 289-297 (1995). Reviewer: M.Calvo (Zaragoza) MSC: 65L05 68W30 34A30 PDF BibTeX XML Cite \textit{R. Pons} and \textit{G. Marcilhacy}, Bull. Sci. Math. 119, No. 3, 289--297 (1995; Zbl 0835.65091) OpenURL
Stetter, H. J. Tools for scientific computation. (English) Zbl 0798.65095 Z. Angew. Math. Mech. 73, No. 12, 335-348 (1993). Reviewer: H.J.Stetter MSC: 65Nxx 65Fxx 68W30 65Y05 68-02 65H10 13P10 35J05 35J25 PDF BibTeX XML Cite \textit{H. J. Stetter}, Z. Angew. Math. Mech. 73, No. 12, 335--348 (1993; Zbl 0798.65095) Full Text: DOI OpenURL
Czichowski, Günter Geometric aspects of \(\text{SL}(2)\)-invariant second order ordinary differential equations. (English) Zbl 0791.34003 Semin. Sophus Lie 3, No. 2, 231-236 (1993). Reviewer: F.Schwarz (Paderborn) MSC: 34A05 34A99 68W30 PDF BibTeX XML Cite \textit{G. Czichowski}, Semin. Sophus Lie 3, No. 2, 231--236 (1993; Zbl 0791.34003) OpenURL
Mills, Harry S. D. Symbolically precise solutions to a homogeneous second order matrix ordinary differential equation with Macsyma. (English) Zbl 0769.34002 J. Symb. Comput. 15, No. 1, 91-98 (1993). MSC: 34A05 68W30 PDF BibTeX XML Cite \textit{H. S. D. Mills}, J. Symb. Comput. 15, No. 1, 91--98 (1993; Zbl 0769.34002) Full Text: DOI OpenURL
Duval, Anne; Loday-Richaud, Michèle Kovacic’s algorithm and its application to some families of special functions. (English) Zbl 0785.12003 Appl. Algebra Eng. Commun. Comput. 3, No. 3, 211-246 (1992). Reviewer: E.V.Pankrat’ev (Moskva) MSC: 12H05 34A05 68W30 PDF BibTeX XML Cite \textit{A. Duval} and \textit{M. Loday-Richaud}, Appl. Algebra Eng. Commun. Comput. 3, No. 3, 211--246 (1992; Zbl 0785.12003) Full Text: DOI OpenURL
Midy, P. Computer-assisted reduction of second order linear differential equations. (English) Zbl 0767.34002 Computing 49, No. 2, 117-127 (1992). Reviewer: I.N.Katz (St.Louis) MSC: 34A05 68W30 34A25 34C20 PDF BibTeX XML Cite \textit{P. Midy}, Computing 49, No. 2, 117--127 (1992; Zbl 0767.34002) Full Text: DOI OpenURL
Kwong, Man Kam Uniqueness results for Emden-Fowler boundary value problems. (English) Zbl 0744.34023 Nonlinear Anal., Theory Methods Appl. 16, No. 5, 435-454 (1991). Reviewer: P.Zezza (Firenze) MSC: 34B15 68W30 PDF BibTeX XML Cite \textit{M. K. Kwong}, Nonlinear Anal., Theory Methods Appl. 16, No. 5, 435--454 (1991; Zbl 0744.34023) Full Text: DOI OpenURL
Zubova, A. F. Design and construction of objects of motion with the help of an electronic computer. (Russian) Zbl 0803.34047 Kutukova, L. T. (ed.), Dynamical systems. Interuniversity collection of scientific works. Yakutsk: Yakutskij Gosudarstvennyj Universitet, 18-25 (1989). Reviewer: W.Müller (Berlin) MSC: 34D20 68U07 42A16 PDF BibTeX XML Cite \textit{A. F. Zubova}, in: Dinamicheskie sistemy. Mezhvuzovskij sbornik nauchnykh trudov. Yakutsk: Yakutskij Gosudarstvennyj Universitet. 18--25 (1989; Zbl 0803.34047) OpenURL
Beregovenko, G. Ya.; Saukh, S. E. On the organization of parallel calculations for the solution nonlinear differential equations. (Russian) Zbl 0486.65046 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1981, No. 9, 65-68 (1981). MSC: 65L05 68N25 PDF BibTeX XML Cite \textit{G. Ya. Beregovenko} and \textit{S. E. Saukh}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1981, No. 9, 65--68 (1981; Zbl 0486.65046) OpenURL