Rozanova, Olga S.; Chizhonkov, Eugeniy V. The influence of an external magnetic field on cold plasma oscillations. (English) Zbl 1501.35385 Z. Angew. Math. Phys. 73, No. 6, Paper No. 249, 15 p. (2022). MSC: 35Q60 35L60 35L67 34M10 35B65 35B44 35C07 76X05 76W05 78A60 78A30 65L06 PDF BibTeX XML Cite \textit{O. S. Rozanova} and \textit{E. V. Chizhonkov}, Z. Angew. Math. Phys. 73, No. 6, Paper No. 249, 15 p. (2022; Zbl 1501.35385) Full Text: DOI arXiv
Matus, P. P.; Utebaev, B. D. Compact and monotone difference schemes for parabolic equations. (Russian. English summary) Zbl 1468.65102 Mat. Model. 33, No. 4, 60-78 (2021). MSC: 65M06 65M12 35K58 35K59 65L06 PDF BibTeX XML Cite \textit{P. P. Matus} and \textit{B. D. Utebaev}, Mat. Model. 33, No. 4, 60--78 (2021; Zbl 1468.65102) Full Text: DOI MNR
Li, Xiao; Ju, Lili; Meng, Xucheng Convergence analysis of exponential time differencing schemes for the Cahn-Hilliard equation. (English) Zbl 1483.65141 Commun. Comput. Phys. 26, No. 5, 1510-1529 (2019). MSC: 65M06 65N06 65L05 65L06 35K35 35K59 65M12 65M15 PDF BibTeX XML Cite \textit{X. Li} et al., Commun. Comput. Phys. 26, No. 5, 1510--1529 (2019; Zbl 1483.65141) Full Text: DOI
Rottmann-Matthes, Jens An IMEX-RK scheme for capturing similarity solutions in the multidimensional Burgers’s equation. (English) Zbl 1483.65147 IMA J. Numer. Anal. 39, No. 1, 342-373 (2019). MSC: 65M20 65L06 35C06 35K59 35Q53 PDF BibTeX XML Cite \textit{J. Rottmann-Matthes}, IMA J. Numer. Anal. 39, No. 1, 342--373 (2019; Zbl 1483.65147) Full Text: DOI arXiv
Kovács, Balázs High-order evolving surface finite element method for parabolic problems on evolving surfaces. (English) Zbl 1406.65086 IMA J. Numer. Anal. 38, No. 1, 430-459 (2018). MSC: 65M60 65M20 65L06 65M12 65M15 35K59 PDF BibTeX XML Cite \textit{B. Kovács}, IMA J. Numer. Anal. 38, No. 1, 430--459 (2018; Zbl 1406.65086) Full Text: DOI arXiv
Hochbruck, Marlis; Pažur, Tomislav; Schnaubelt, Roland Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations. (English) Zbl 1387.65100 Numer. Math. 138, No. 3, 557-579 (2018). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 65M20 65L06 35L90 35Q61 65M12 65M15 PDF BibTeX XML Cite \textit{M. Hochbruck} et al., Numer. Math. 138, No. 3, 557--579 (2018; Zbl 1387.65100) Full Text: DOI
Kovács, Balázs; Power Guerra, Christian Andreas Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces. (English) Zbl 1351.65065 Numer. Methods Partial Differ. Equations 32, No. 4, 1200-1231 (2016). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M15 35K59 65L06 PDF BibTeX XML Cite \textit{B. Kovács} and \textit{C. A. Power Guerra}, Numer. Methods Partial Differ. Equations 32, No. 4, 1200--1231 (2016; Zbl 1351.65065) Full Text: DOI arXiv
Deng, Dingwen; Pan, Tingting A fourth-order singly diagonally implicit Runge-Kutta method for solving one-dimensional Burgers’ equation. (English) Zbl 1512.65195 IAENG, Int. J. Appl. Math. 45, No. 4, 327-333 (2015). MSC: 65M20 35K20 35K59 35Q53 65L06 PDF BibTeX XML Cite \textit{D. Deng} and \textit{T. Pan}, IAENG, Int. J. Appl. Math. 45, No. 4, 327--333 (2015; Zbl 1512.65195)
González, Cesáreo; Thalhammer, Mechthild Higher-order exponential integrators for quasi-linear parabolic problems. I: Stability. (English) Zbl 1316.65080 SIAM J. Numer. Anal. 53, No. 2, 701-719 (2015). MSC: 65M20 65M12 35K59 65M15 35K90 65L06 PDF BibTeX XML Cite \textit{C. González} and \textit{M. Thalhammer}, SIAM J. Numer. Anal. 53, No. 2, 701--719 (2015; Zbl 1316.65080) Full Text: DOI
Nakaguchi, Etsushi; Yagi, Atsushi Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems. (English) Zbl 1011.65067 Hokkaido Math. J. 31, No. 2, 385-429 (2002). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M60 65M12 35K90 65J15 65M15 65L06 35K55 PDF BibTeX XML Cite \textit{E. Nakaguchi} and \textit{A. Yagi}, Hokkaido Math. J. 31, No. 2, 385--429 (2002; Zbl 1011.65067) Full Text: DOI
Rodriguez Santiesteban, Antonio Ramon Asymptotic stability of index-2-algebro-differential equations and their discretization. (Asymptotische Stabilität von Index-2-Algebro-Differentialgleichungen und ihren Diskretisierungen.) (German) Zbl 1022.65086 Berlin: Humboldt-Univ., Mathematisch-Naturwissenschaftliche Fakultät II, electronic (2001). MSC: 65L20 65L06 34A09 65L80 65L05 PDF BibTeX XML Cite \textit{A. R. Rodriguez Santiesteban}, Asymptotische Stabilität von Index-2-Algebro-Differentialgleichungen und ihren Diskretisierungen. Berlin: Humboldt-Univ., Mathematisch-Naturwissenschaftliche Fakultät II (2001; Zbl 1022.65086) Full Text: Link
González, Cesáreo; Palencia, César Stability of Runge-Kutta methods for quasilinear parabolic problems. (English) Zbl 0941.65098 Math. Comput. 69, No. 230, 609-628 (2000). Reviewer: V.Makarov (Kyïv) MSC: 65M20 65L06 34G20 65J15 65M12 65M15 35K55 PDF BibTeX XML Cite \textit{C. González} and \textit{C. Palencia}, Math. Comput. 69, No. 230, 609--628 (2000; Zbl 0941.65098) Full Text: DOI
Kolomijets’, O. V. On the application of numerical methods for the solution of nonlinear second-order differential equations with random deviations of argument. (English. Ukrainian original) Zbl 0981.65085 Ukr. Math. J. 51, No. 10, 1617-1626 (1999); translation from Ukr. Mat. Zh. 51, No. 10, 1433-1441 (1999). MSC: 65L06 34A34 34C10 PDF BibTeX XML Cite \textit{O. V. Kolomijets'}, Ukr. Mat. Zh. 51, No. 10, 1433--1441 (1999; Zbl 0981.65085); translation from Ukr. Mat. Zh. 51, No. 10, 1433--1441 (1999)
Nakaguchi, Etsushi; Yagi, Atsushi Error estimates of implicit Runge-Kutta methods for quasilinear abstract equations of parabolic type in Banach spaces. (English) Zbl 0934.65103 Jap. J. Math., New Ser. 25, No. 1, 181-226 (1999). Reviewer: R.Fazio (Messina) MSC: 65M20 92E20 65L06 35K55 PDF BibTeX XML Cite \textit{E. Nakaguchi} and \textit{A. Yagi}, Jpn. J. Math., New Ser. 25, No. 1, 181--226 (1999; Zbl 0934.65103)
Büttner, M.; Weiner, R.; Strehmel, K. A note on stability investigations for Rosenbrock-type methods for quasilinear-implicit differential equations. (English) Zbl 0839.65088 Computing 56, No. 1, 47-59 (1996). Reviewer: R.Scherer (Karlsruhe) MSC: 65L20 65L05 34A34 65L06 PDF BibTeX XML Cite \textit{M. Büttner} et al., Computing 56, No. 1, 47--59 (1996; Zbl 0839.65088) Full Text: DOI
März, R.; Tischendorf, C. Solving more general index-2 differential algebraic equations. (English) Zbl 0814.65074 Comput. Math. Appl. 28, No. 10-12, 77-105 (1994). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65L05 65L06 65L20 34A34 PDF BibTeX XML Cite \textit{R. März} and \textit{C. Tischendorf}, Comput. Math. Appl. 28, No. 10--12, 77--105 (1994; Zbl 0814.65074) Full Text: DOI
Bulatov, M. V.; Chistyakov, V. F.; Shcheglova, A. A. Multistep difference schemes for solution of degenerate systems of ordinary differential equations. (Russian) Zbl 0808.65071 Vasin, V. V. (ed.) et al., Numerical methods of optimization and analysis. Collection of scientific works. Novosibirsk: Nauka. 90-96 (1992). MSC: 65L05 65L06 65L12 34A34 PDF BibTeX XML Cite \textit{M. V. Bulatov} et al., in: Chislennye metody optimizatsii i analiza. Sbornik nauchnykh statej. Novosibirsk: Nauka. 90--96 (1992; Zbl 0808.65071)
Nguyen Minh Chuong; Nguyen Van Khai On multistep Seidel-Newton methods for quasilinear operator equations. (English) Zbl 0881.65047 Acta Math. Vietnam. 17, No. 2, 103-114 (1992). MSC: 65J15 47J25 PDF BibTeX XML Cite \textit{Nguyen Minh Chuong} and \textit{Nguyen Van Khai}, Acta Math. Vietnam. 17, No. 2, 103--114 (1992; Zbl 0881.65047)
März, Roswitha Higher-index differential-algebraic equations: Analysis and numerical treatment. (English) Zbl 0719.65060 Numerical analysis and mathematical modelling, Banach Cent. Publ. 24, 199-222 (1990). Reviewer: W.Petry (Düsseldorf) MSC: 65L05 65L06 65L08 34A09 34A34 65L12 65L50 PDF BibTeX XML
Jankowski, Tadeusz Convergence of multistep methods for retarded differential equations with parameters. (English) Zbl 0716.65065 Appl. Anal. 37, No. 1-4, 227-251 (1990). Reviewer: K.Najzar MSC: 65L10 65L70 65L06 34K10 PDF BibTeX XML Cite \textit{T. Jankowski}, Appl. Anal. 37, No. 1--4, 227--251 (1990; Zbl 0716.65065) Full Text: DOI
Bramble, James H.; Ewing, Richard E.; Li, Gang Alternating direction multistep methods for parabolic problems - iterative stabilization. (English) Zbl 0686.65078 SIAM J. Numer. Anal. 26, No. 4, 904-919 (1989). Reviewer: H.Marcinkowska MSC: 65N30 65N15 35K60 PDF BibTeX XML Cite \textit{J. H. Bramble} et al., SIAM J. Numer. Anal. 26, No. 4, 904--919 (1989; Zbl 0686.65078) Full Text: DOI
Jankowski, Tadeusz Convergence of multistep methods for systems of ordinary differential equations with parameters. (English) Zbl 0634.65063 Apl. Mat. 32, 257-270 (1987). Reviewer: N.Parki MSC: 65L10 34B15 PDF BibTeX XML Cite \textit{T. Jankowski}, Apl. Mat. 32, 257--270 (1987; Zbl 0634.65063) Full Text: EuDML
Jankowski, Tadeusz On the convergence of multistep methods for ordinary differential equations with discontinuities. (English) Zbl 0571.65065 Demonstr. Math. 16, 651-675 (1983). Reviewer: K.Burrage MSC: 65L05 65L20 34A34 PDF BibTeX XML Cite \textit{T. Jankowski}, Demonstr. Math. 16, 651--675 (1983; Zbl 0571.65065) Full Text: DOI
Jackiewicz, Z.; Kwapisz, M. Convergence of multistep methods for Volterra integro-differential equations. (English) Zbl 0557.65093 Ann. Pol. Math. 43, 121-139 (1983). Reviewer: C.L.Koul MSC: 65R20 45J05 PDF BibTeX XML Cite \textit{Z. Jackiewicz} and \textit{M. Kwapisz}, Ann. Pol. Math. 43, 121--139 (1983; Zbl 0557.65093) Full Text: DOI
Jackiewicz, Zdzislaw; Kwapisz, Marian On numerical integration of implicit ordinary differential equations. (English) Zbl 0469.65058 Apl. Mat. 26, 97-110 (1981). MSC: 65L05 PDF BibTeX XML Cite \textit{Z. Jackiewicz} and \textit{M. Kwapisz}, Apl. Mat. 26, 97--110 (1981; Zbl 0469.65058) Full Text: EuDML