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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1993, Volume 33, Number 12, Pages 1792–1805 (Mi zvmmf2626)  
This article is cited in 13 scientific papers (total in 13 papers)

The Cauchy problem as a problem of the continuation of a solution with respect to a parameter

E. B. Kuznetsov, V. I. Shalashilin

Moscow
Full-text PDF (1412 kB) Citations (13)
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Received: 30.04.1993
Bibliographic databases:
Document Type: Article
UDC: 519.622
MSC: Primary 65L05; Secondary 65L20, 34A12, 34A34, 34E13
Language: Russian
Citation: E. B. Kuznetsov, V. I. Shalashilin, “The Cauchy problem as a problem of the continuation of a solution with respect to a parameter”, Zh. Vychisl. Mat. Mat. Fiz., 33:12 (1993), 1792–1805; Comput. Math. Math. Phys., 33:12 (1993), 1569–1579
Citation in format AMSBIB
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\by E.~B.~Kuznetsov, V.~I.~Shalashilin
\paper The Cauchy problem as a problem of the continuation of a solution with respect to a parameter
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1993
\vol 33
\issue 12
\pages 1792--1805
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\transl
\jour Comput. Math. Math. Phys.
\yr 1993
\vol 33
\issue 12
\pages 1569--1579
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Linking options:
  • https://www.mathnet.ru/eng/zvmmf2626
  • https://www.mathnet.ru/eng/zvmmf/v33/i12/p1792
    • This publication is cited in the following 13 articles:
    1. E. B. Kuznetsov, S. S. Leonov, “Parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points”, Comput. Math. Math. Phys., 57:6 (2017), 931–952  mathnet  crossref  crossref  mathscinet  isi  elib
    2. N. G. Bandurin, N. A. Gureeva, “Software package for the numerical solution of systems of essentially nonlinear ordinary integro-differential-algebraic equations”, Math. Models Comput. Simul., 4:5 (2012), 455–463  mathnet  crossref  mathscinet  elib
    3. A. N. Danilin, E. B. Kuznetsov, V. I. Shalashilin, “On the application of implicit algorithms of the method of the continuation of the solution in the numerical integration of dynamical systems”, Russian Math. (Iz. VUZ), 49:8 (2005), 12–24  mathnet  mathscinet
    4. D. B. Volkov-Bogorodskii, A. N. Danilin, E. B. Kuznetsov, V. I. Shalashilin, “Implicit methods for integration of initial value problems for parameterized systems of second-order ordinary differential equations”, Comput. Math. Math. Phys., 43:11 (2003), 1620–1631  mathnet  mathscinet  zmath
    5. Danilin A.N., Kuznetsov Y.B., Shalashilin V.I., “Implicit algorithms for solving the Cauchy problem for the equations of the dynamics of mechanical systems”, J Appl Math Mech, 67:6 (2003), 921–935  crossref  mathscinet  zmath  isi
    6. Yu. G. Bulychev, “Numerical integration of ordinary differential equations using parametric regularization”, Russian Math. (Iz. VUZ), 45:7 (2001), 5–12  mathnet  mathscinet  zmath
    7. G. Yu. Kulikov, “On using Newton-type iterative methods for solving systems of differential-algebraic equations of index 1”, Comput. Math. Math. Phys., 41:8 (2001), 1122–1131  mathnet  mathscinet  zmath
    8. A. N. Danilin, N. N. Zuev, E. B. Kuznetsov, V. I. Shalashilin, “Some numerical efficiency estimates for the transformation of the Cauchy problem for differential equations to the best argument”, Comput. Math. Math. Phys., 39:7 (1999), 1092–1099  mathnet  mathscinet  zmath
    9. E. B. Kuznetsov, “Transformation of equations with retarded argument to equations with the best argument”, Math. Notes, 63:1 (1998), 55–60  mathnet  crossref  crossref  mathscinet  zmath  isi
    10. E. B. Kuznetsov, V. I. Shalashilin, “Solution of singular equations transformed to the best argument”, Russian Math. (Iz. VUZ), 42:11 (1998), 53–60  mathnet  mathscinet  zmath
    11. E. B. Kuznetsov, “An approach to the integration of the Euler kinematic equations”, Comput. Math. Math. Phys., 38:11 (1998), 1732–1738  mathnet  mathscinet  zmath
    12. E. B. Kuznetsov, V. I. Shalashilin, “Solution of differential-algebraic equations with the choice of the best argument”, Comput. Math. Math. Phys., 37:6 (1997), 691–702  mathnet  mathscinet  zmath
    13. E. B. Kuznetsov, V. I. Shalashilin, “A parametric approximation”, Comput. Math. Math. Phys., 34:12 (1994), 1511–1520  mathnet  mathscinet  zmath  isi
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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