Qureshi, Sania; Ramos, Higinio; Soomro, Amanullah; Akinfenwa, Olusheye Aremu; Akanbi, Moses Adebowale Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques. (English) Zbl 1540.65184 Math. Comput. Simul. 220, 237-252 (2024). MSC: 65L04 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Shaymatov, Sanjar; Dadhich, Naresh Extending the weak cosmic censorship conjecture to the charged Buchdahl star by employing the gedanken experiments. (English) Zbl 1528.83162 J. Cosmol. Astropart. Phys. 2023, No. 6, Paper No. 10, 15 p. (2023). MSC: 83F05 83C75 85A15 83C57 35G20 35B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martínez, Jhan N.; Rodríguez, José F.; Rodríguez, Yeinzon; Gómez, Gabriel Particle-like solutions in the generalized SU(2) Proca theory. (English) Zbl 1522.83046 J. Cosmol. Astropart. Phys. 2023, No. 4, Paper No. 32, 33 p. (2023). MSC: 83C40 83D05 58D05 85A15 53C07 83C30 14B25 81V60 35C20 35G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tassaddiq, Asifa; Qureshi, Sania; Soomro, Amanullah; Hincal, Evren; Shaikh, Asif Ali A new continuous hybrid block method with one optimal intrastep point through interpolation and collocation. (English) Zbl 1541.65056 Fixed Point Theory Algorithms Sci. Eng. 2022, Paper No. 22, 17 p. (2022). MSC: 65L05 65L07 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Das, H. C.; Kumar, Ankit; Kumar, Bharat; Biswal, S. K.; Patra, S. K. Impacts of dark matter on the curvature of the neutron star. (English) Zbl 1484.85009 J. Cosmol. Astropart. Phys. 2021, No. 1, Paper No. 7, 19 p. (2021). MSC: 85A15 83C56 53E10 81V35 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Albuquerque-Ferreira, A. C.; Ureña, Miguel; Ramos, Higinio The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars. (English) Zbl 1464.74362 Eng. Anal. Bound. Elem. 127, 29-39 (2021). MSC: 74S20 65N06 × Cite Format Result Cite Review PDF Full Text: DOI
Pitman, Jim; Yakubovich, Yuri Gaps and interleaving of point processes in sampling from a residual allocation model. (English) Zbl 1428.62190 Bernoulli 25, No. 4B, 3623-3651 (2019). MSC: 60G55 60F05 60K05 60J80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kwong, Man Kam; Yuen, Manwai Periodic solutions of 2D isothermal Euler-Poisson equations with possible applications to spiral and disk-like galaxies. (English) Zbl 1296.85002 J. Math. Anal. Appl. 420, No. 2, 1854-1863 (2014). MSC: 85A05 35L60 85A30 35L45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Strehmel, Karl; Weiner, Rüdiger; Podhaisky, Helmut Numerical methods for ordinary differential equations. Nonstiff, stiff, and differential-algebraic equations. 2nd revised and expanded ed. (Numerik gewöhnlicher Differentialgleichungen. Nichtsteife, steife und differential-algebraische Gleichungen. German.) (English) Zbl 1256.65073 Studium. Heidelberg: Springer Spektrum (ISBN 978-3-8348-1847-8/pbk; 978-3-8348-2263-5/ebook). xi, 505 p. (2012). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65L05 65-01 65L06 65L20 65L50 34A09 65L70 65-02 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Abdi, A.; Butcher, J. C. Applications of order arrows. (English) Zbl 1241.65070 Appl. Numer. Math. 62, No. 5, 556-566 (2012). MSC: 65L20 65L06 65L05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Sunil; Lal, A. K.; Sharma, H. G.; Singh, V. P. Equilibrium structures of differentially rotating polytropic stars. (English) Zbl 1355.85002 Aligarh Bull. Math. 29, No. 2, 135-147 (2010). Reviewer: Hans-Jürgen Schmidt (Potsdam) MSC: 85A05 85A15 85-08 × Cite Format Result Cite Review PDF
Roxburgh, Ian W. Asteroseismology of solar and stellar models. (English) Zbl 1197.85017 Astrophys. Space Sci. 328, No. 1-2, 3-11 (2010). MSC: 85A15 35L15 × Cite Format Result Cite Review PDF Full Text: DOI
Villatoro, Francisco R. Stability by order stars for non-linear theta-methods based on means. (English) Zbl 1182.65129 Int. J. Comput. Math. 87, No. 1, 226-242 (2010). MSC: 65L20 65L05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Butcher, J. C. Forty-five years of A-stability. (English) Zbl 1191.65109 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 4, No. 1-2, 1-9 (2009). MSC: 65L20 65-03 01A60 65L05 65L06 34A34 × Cite Format Result Cite Review PDF
Butcher, J. C. Order and stability of generalized Padé approximations. (English) Zbl 1182.65111 Appl. Numer. Math. 59, No. 3-4, 558-567 (2009). MSC: 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Fengming; Chen, Shubo Ordering the zeroth-order general Randic index of double stars. (Chinese. English summary) Zbl 1155.05312 J. Hunan Univ. Arts Sci., Nat. Sci. 19, No. 2, 18-19 (2007). MSC: 05C05 05C12 05C90 92E10 × Cite Format Result Cite Review PDF
Butcher, J. C. Numerical methods for ordinary differential equations. (English) Zbl 1040.65057 Chichester: Wiley (ISBN 0-471-96758-0/hbk). xiv, 425 p. (2003). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65Lxx 34-01 34A12 65-02 × Cite Format Result Cite Review PDF Backlinks: MO
Butcher, J. C. The \(A\)-stability of methods with Padé and generalized Padé stability functions. (English) Zbl 1016.65057 Numer. Algorithms 31, No. 1-4, 47-58 (2002). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L20 65L05 65L06 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Guglielmi, Nicola Asymptotic stability barriers for natural Runge–Kutta processes for delay equations. (English) Zbl 1002.65085 SIAM J. Numer. Anal. 39, No. 3, 763-783 (2001). Reviewer: R.S.Dahiya (Ames) MSC: 65L20 34K28 34K40 65L05 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Wenqiang; Li, Shoufu Necessary and sufficient conditions for \(A\)-acceptability of high-order rational approximations to the function \(\exp (z)\). (Chinese. English summary) Zbl 0973.65064 Nat. Sci. J. Xiangtan Univ. 22, No. 1, 4-7 (2000). MSC: 65L20 65L06 65D15 41A20 × Cite Format Result Cite Review PDF
Guglielmi, Nicola An analytic proof of numerical stability of Gaussian collocation for delay differential. (English) Zbl 0948.65077 Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 3, No. 1, 95-116 (2000). Reviewer: Yuri V.Rogovchenko (Mersin) MSC: 65L20 65L05 34K05 65L60 34K28 × Cite Format Result Cite Review PDF Full Text: EuDML
Hairer, Ernst; Wanner, Gerhard Stiff differential equations solved by Radau methods. (English) Zbl 0945.65080 J. Comput. Appl. Math. 111, No. 1-2, 93-111 (1999). Reviewer: R.Scherer (Karlsruhe) MSC: 65L06 65L05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Guglielmi, Nicola; Hairer, Ernst Order stars and stability for delay differential equations. (English) Zbl 0937.65079 Numer. Math. 83, No. 3, 371-383 (1999). Reviewer: Ziwen Jiang (Shandong) MSC: 65L05 65L20 34K05 × Cite Format Result Cite Review PDF Full Text: DOI
Kværnø, A.; Nørsett, S. P.; Owren, B. Runge-Kutta research in Trondheim. (English) Zbl 0870.65064 Appl. Numer. Math. 22, No. 1-3, 263-277 (1996). Reviewer: Z.Jackiewicz (Tempe) MSC: 65L06 65-03 01A65 01A73 65L05 65L20 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Hairer, Ernst; Wanner, Gerhard Solving ordinary differential equations. II: Stiff and differential-algebraic problems. 2nd rev. ed. (English) Zbl 0859.65067 Springer Series in Computational Mathematics. 14. Berlin: Springer. xvi, 614 p. (1996). Reviewer: R.D.Grigorieff (Berlin) MSC: 65L05 65-02 65J99 65L06 65L20 34-04 34A34 34E13 34E15 × Cite Format Result Cite Review PDF
Jeltsch, Rolf Stability of time discretization, Hurwitz determinants and order stars. (English) Zbl 0854.65073 Jeltsch, R. (ed.) et al., Stability theory. Hurwitz centenary conference, Ascona, Switzerland, May 21-26, 1995. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 121, 191-204 (1996). MSC: 65M12 65L12 65M06 65L20 34A34 35K15 × Cite Format Result Cite Review PDF
Biler, Piotr The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. (English) Zbl 0829.35044 Stud. Math. 114, No. 2, 181-205 (1995). Reviewer: H.Marcinkowska (Wrocław) MSC: 35K15 35B40 82C05 58D25 35K55 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Renaut, Rosemary; Smit, J. H. Order stars and the maximal accuracy of stable difference schemes for the wave equation. (English) Zbl 0787.65064 Quaest. Math. 15, No. 3, 307-323 (1992). Reviewer: Ll.G.Chambers (Bangor) MSC: 65M12 65M06 65M15 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Iserles, A. Rational approximants and numerical methods for initial-value problems. (English) Zbl 0788.65101 Physica D 60, No. 1-4, 280-292 (1992). Reviewer: C.A.De Moura (Botafogo) MSC: 65M70 65M15 35L15 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Bernstein, Ira B.; Brookshaw, Leigh; Fox, Peter A. A numerical method for solving systems of linear ordinary differential equations with rapidly oscillating solutions. (English) Zbl 0751.65042 J. Comput. Phys. 98, No. 2, 269-284 (1992). Reviewer: H.Ade (Mainz) MSC: 65L05 65L06 65L15 34E20 34A30 34L15 85A15 × Cite Format Result Cite Review PDF Full Text: DOI
Lambert, J. D. Numerical methods for ordinary differential systems: the initial value problem. (English) Zbl 0745.65049 Chichester etc.: John Wiley & Sons. x, 293 p. (1991). Reviewer: J. H. Verner (Kingston / Ontario) MSC: 65L05 65-02 65L06 65L20 34A30 34A34 34E13 × Cite Format Result Cite Review PDF
Iserles, Arieh; Nørsett, Syvert P. Order stars. (English) Zbl 0743.65062 Applied Mathematics and Mathematical Computation. 2. London etc.: Chapman & Hall. xi, 248 p. (1991). Reviewer: D.Gaier (Gießen) MSC: 65Lxx 65-02 65E05 65J99 41A21 30E10 × Cite Format Result Cite Review PDF
Hairer, Ernst; Wanner, Gerhard Solving ordinary differential equations II: Stiff and differential-algebraic problems. (English) Zbl 0729.65051 Springer Series in Computational Mathematics, 14. Berlin etc.: Springer-Verlag. xv, 601 p. DM 128.00 (1991). Reviewer: R.D.Grigorieff (Berlin) MSC: 65L05 65-02 65L06 65L20 34-04 34A34 34E13 34E15 × Cite Format Result Cite Review PDF
Jeltsch, Rolf; Smit, J. H. Accuracy barriers of three time level difference schemes for hyperbolic equations. (English) Zbl 0782.65118 Hyperbolic problems. Theory, numerical methods and applications. Vol. II, Proc. Conf., Uppsala/Sweden 1990, 611-627 (1991). MSC: 65M12 65M06 35L45 × Cite Format Result Cite Review PDF
Butcher, J. C.; Cash, J. R. Some recent developments on numerical initial value problems: A survey. (English) Zbl 0676.65090 Appl. Numer. Math. 5, No. 1-2, 3-18 (1989). Reviewer: J.H.Verner MSC: 65L20 65L05 65-02 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Ni, Wei-Ming Lane-Emden equations and related topics on nonlinear elliptic and parabolic problems. (English) Zbl 0674.35047 New results in nonlinear partial differential equations, Semin. Bonn/FRG 1984, Aspects. Math. E10, 135-152 (1987). Reviewer: S.Totaro MSC: 35K60 49K20 85A15 35L70 × Cite Format Result Cite Review PDF
Hagel, Johannes; Dvorak, Rudolf An analytical study of stable planetary orbits in the circular restricted problem. (English) Zbl 0663.70012 Celestial Mech. 42(1987/88), No. 1-4, 355-368 (1988). MSC: 70F07 70M20 × Cite Format Result Cite Review PDF Full Text: DOI
Wanner, G. Order stars and stability. (English) Zbl 0624.65061 The state of the art in numerical analysis, Proc. Joint IMA/SIAM Conf., Birmingham/Engl. 1986, Inst. Math. Appl. Conf. Ser., New Ser. 9, 451-471 (1987). MSC: 65L05 65L20 34A34 × Cite Format Result Cite Review PDF
Nevanlinna, Olavi Remarks on time discretization. (English) Zbl 0606.65054 Ber., Univ. Jyväskylä 31, 95-105 (1985). MSC: 65L05 65L20 65M20 34A30 × Cite Format Result Cite Review PDF
Hairer, Ernst; Iserles, Arieh; Nørsett, Syvert P. Rational approximations to the exponential function with two complex conjugate interpolation points. (English) Zbl 0599.30063 SIAM J. Math. Anal. 16, 814-821 (1985). Reviewer: M.Gutknecht MSC: 30E05 41A20 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Jeltsch, Rolf; Strack, Klaus-Günther Accuracy bounds for semidiscretizations of hyperbolic problems. (English) Zbl 0594.65059 Math. Comput. 45, 365-376 (1985). Reviewer: J.D.P.Donnelly MSC: 65L05 65M20 65L20 35L45 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Iserles, A. Order stars, approximations and finite differences. II: Theorems in approximation theory. (English) Zbl 0589.30039 SIAM J. Math. Anal. 16, 785-802 (1985). Reviewer: M.Gutknecht MSC: 30E10 30E05 41A21 × Cite Format Result Cite Review PDF Full Text: DOI
Iserles, A. Order stars, approximations and finite differences. I: The general theory of order stars. (English) Zbl 0589.30038 SIAM J. Math. Anal. 16, 559-576 (1985). Reviewer: M.Gutknecht MSC: 30E10 30E05 41A21 65L20 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Iserles, Arieh; Nørsett, Syvert P. A proof of the first Dahlquist barrier by order stars. (English) Zbl 0574.65086 BIT 24, 529-537 (1984). MSC: 65L05 65L20 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Wanner, Gerhard Eigenschaften von Stabilitätsbereichen. (English) Zbl 0544.65059 Wiss. Beitr., Martin-Luther-Univ. Halle Wittenberg 1984/24(M33), 156-163 (1984). MSC: 65L20 65L10 34B15 × Cite Format Result Cite Review PDF
Iserles, A. Order stars and the structures of Padé tableaux. (English) Zbl 0543.41017 Padé approximation and its applications, Proc. Conf., Bad Honnef/Ger. 1983, Lect. Notes Math. 1071, 166-175 (1984). MSC: 41A20 × Cite Format Result Cite Review PDF
Alonso, J. Diaz Phase transitions in dense stars. (English) Zbl 0539.76048 Astron. Astrophys. 125, 287-301 (1983). MSC: 76E20 85A15 × Cite Format Result Cite Review PDF
Iserles, A. Padé and rational approximations to the exponential and their applications to numerical analysis. (English) Zbl 0542.41013 Padé approximation and convergence acceleration technics, 1st French- Polish Meet., Warsaw 1981, 52-59 (1982). MSC: 41A20 65L05 × Cite Format Result Cite Review PDF
Nittmann, J.; Falle, S. A. E. G.; Gaskell, P. H. The dynamical destruction of shocked gas clouds. (English) Zbl 0541.76056 Mon. Not. R. Astron. Soc. 201, 833-847 (1982). Reviewer: K.S.Upadhyaya MSC: 76E20 85A05 76M99 76L05 × Cite Format Result Cite Review PDF Full Text: DOI
Zafiropoulos, B.; Kopal, Z. Periodic perturbations in close binary systems due to rotational distortion. (English) Zbl 0506.70013 Astrophys. Space Sci. 88, 331-353 (1982). MSC: 70F15 85A15 × Cite Format Result Cite Review PDF Full Text: DOI
Iserles, Arieh Order stars and a saturation theorem for first-order hyperbolics. (English) Zbl 0493.65039 IMA J. Numer. Anal. 2, 49-61 (1982). MSC: 65M12 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Hairer, E. Constructive characterization of A-stable approximations to exp(z) and its connection with algebraically stable Runge-Kutta methods. (English) Zbl 0493.65035 Numer. Math. 39, 247-258 (1982). MSC: 65L20 65L05 41A20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Kopal, Zdeněk Vibrational stability of rotating stars. (English) Zbl 0474.76047 Astrophys. Space Sci. 76, 187-212 (1981). MSC: 76E20 76U05 85A15 85A30 × Cite Format Result Cite Review PDF Full Text: DOI
Iserles, A.; Powell, M. J. D. On the A-acceptability of rational approximations that interpolate the exponential function. (English) Zbl 0472.41013 IMA J. Numer. Anal. 1, 241-251 (1981). MSC: 41A20 41A05 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Shuochang On the stability of rotating liquid stars. (English) Zbl 0459.76028 Sci. Sin. 24, 61-73 (1981). MSC: 76E20 76M45 76D10 85A30 49R50 34D10 76U05 × Cite Format Result Cite Review PDF
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P. When I-stability implies A-stability. (English) Zbl 0444.65040 BIT, Nord. Tidskr. Inf.-behandl. 18, 503 (1978). MSC: 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Wanner, Gerhard; Hairer, Ernst; Nørsett, Syvert P. Order stars and stability theorems. (English) Zbl 0444.65039 BIT, Nord. Tidskr. Inf.-behandl. 18, 475-489 (1978). MSC: 65L05 41A21 65L20 × Cite Format Result Cite Review PDF Full Text: DOI