On the rate of convergence of the Ritz method for ordinary differential equations
We obtain direct and inverse theorems on the approximation of solutions of self-adjoint boundary-value problems for the Sturm-Liouville equation on a finite interval by the Ritz method.
Saved in:
| Date: | 2000 |
|---|---|
| Main Authors: | Yakymiv, R. Ya., Якимів, Р. Я. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4463 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Estimates for the Rate of Convergence in Ordinary Differential Equations under the Action of Random Processes with Fast Time
by: Bondarev, B. V., et al.
Published: (2005)
by: Bondarev, B. V., et al.
Published: (2005)
Super-exponential rate of convergence of the Cayley transform method for an abstract differential equation
by: N. V. Maiko
Published: (2020)
by: N. V. Maiko
Published: (2020)
On the rate of convergence of an unstable solution of a stochastic differential equation
by: Mynbaeva, G. U., et al.
Published: (1994)
by: Mynbaeva, G. U., et al.
Published: (1994)
Attractors of Ordinary Differential Equations
by: Voskresenskii, E. V., et al.
Published: (2000)
by: Voskresenskii, E. V., et al.
Published: (2000)
A method for solution of nonlinear ordinary differential equations
by: Perchik, E. L., et al.
Published: (1995)
by: Perchik, E. L., et al.
Published: (1995)
Geometric Linearization of Ordinary Differential Equations
by: Qadir, A.
Published: (2007)
by: Qadir, A.
Published: (2007)
On the multiplication problem of ordinary differential equations
by: Parasyuk, E. M., et al.
Published: (1971)
by: Parasyuk, E. M., et al.
Published: (1971)
Direct and Inverse Theorems in the Theory of Approximation by the Ritz Method
by: Gorbachuk, M. L., et al.
Published: (2005)
by: Gorbachuk, M. L., et al.
Published: (2005)
On minimization of one integral functional by the Ritz method
by: Minenko, A. S., et al.
Published: (2006)
by: Minenko, A. S., et al.
Published: (2006)
Transformation of formal expansions of solutions of linear differential equations in a parameter into continued RITZ-fractions
by: Rozhankovskaya, M. I., et al.
Published: (1998)
by: Rozhankovskaya, M. I., et al.
Published: (1998)
Ordinary differential equations with power boundary layers
by: A. S. Omuraliev, et al.
Published: (2018)
by: A. S. Omuraliev, et al.
Published: (2018)
On the Sign of Solutions of Systems of Ordinary Differential Equations
by: Kalinowski, J.
Published: (2002)
by: Kalinowski, J.
Published: (2002)
On the Sign of Solutions of Systems of Ordinary Differential Equations
by: Kalinowski, J., et al.
Published: (2002)
by: Kalinowski, J., et al.
Published: (2002)
Estimate of error of an approximated solution by the method of moments of an operator equation
by: Gorbachuk, M. L., et al.
Published: (1996)
by: Gorbachuk, M. L., et al.
Published: (1996)
The stability of the differential spectrum for linear ordinary differential equations system
by: Ju. V. Kravchenko, et al.
Published: (2015)
by: Ju. V. Kravchenko, et al.
Published: (2015)
On the monotonicity and constancy of signs of some rational explicit methods for nonlinear systems of ordinary differential equations
by: Hlynsky, Ya. М., et al.
Published: (1995)
by: Hlynsky, Ya. М., et al.
Published: (1995)
Application of the method of averaging to the problems of optimal control for
ordinary differential equations on the semiaxis
by: Kichmarenko, O. D., et al.
Published: (2018)
by: Kichmarenko, O. D., et al.
Published: (2018)
The numerical-analytical method of investigating periodic systems of ordinary differential equations. II
by: Samоіlenkо, A. M., et al.
Published: (1966)
by: Samоіlenkо, A. M., et al.
Published: (1966)
Estimate of the convergence rate of the interpolation polynomial derivative on the classes of differentiable functions
by: Kushpel , A. K., et al.
Published: (1988)
by: Kushpel , A. K., et al.
Published: (1988)
Investigation of one convective Stefan problem by the Ritz method
by: Minenko, A. S., et al.
Published: (2007)
by: Minenko, A. S., et al.
Published: (2007)
On the solvability of nonlinear ordinary differential equation in grand Lebesgue spaces
by: Bandaliyev, R. A., et al.
Published: (2022)
by: Bandaliyev, R. A., et al.
Published: (2022)
On the solvability of nonlinear ordinary differential equation in grand Lebesgue spaces
by: R. A. Bandaliyev, et al.
Published: (2022)
by: R. A. Bandaliyev, et al.
Published: (2022)
Extendability of solutions of ordinary differential equations in stability problems
by: V. E. Puzyrev, et al.
Published: (2014)
by: V. E. Puzyrev, et al.
Published: (2014)
Extendability of solutions of ordinary differential equations in stability problems
by: V. N. Nespirnyj
Published: (2014)
by: V. N. Nespirnyj
Published: (2014)
Asymptotic representations for the solutions of nonautonomous ordinary differential equations
by: V. M. Evtukhov, et al.
Published: (2019)
by: V. M. Evtukhov, et al.
Published: (2019)
Bounds for the Periods of Periodic Solutions of Ordinary Differential Equations
by: A. O. Ignatev
Published: (2015)
by: A. O. Ignatev
Published: (2015)
Bounds for the Periods of Periodic Solutions of Ordinary Differential Equations
by: Ignat'ev, A. O., et al.
Published: (2015)
by: Ignat'ev, A. O., et al.
Published: (2015)
Boundary-value problems for parametric ordinary differential equations
by: Karandzhulov, L. I., et al.
Published: (1994)
by: Karandzhulov, L. I., et al.
Published: (1994)
Accurate approximated solution to the differential inclusion based on the ordinary differential equation
by: T. H. Nguyen
Published: (2021)
by: T. H. Nguyen
Published: (2021)
Accurate approximated solution to the differential inclusion based on the ordinary differential equation
by: Nguyen, T. H., et al.
Published: (2021)
by: Nguyen, T. H., et al.
Published: (2021)
Rate of convergence in the Euler scheme for stochastic differential equations with non-Lipschitz diffusion and Poisson measure
by: Zubchenko, V. P., et al.
Published: (2011)
by: Zubchenko, V. P., et al.
Published: (2011)
On the rate of convergence of projection-iterative methods for classes of weakly singular integral equations
by: Askarov, M., et al.
Published: (1995)
by: Askarov, M., et al.
Published: (1995)
Reduction of some systems of ordinary linear differential equations to a simplier form
by: Smilyansky, V. R., et al.
Published: (1971)
by: Smilyansky, V. R., et al.
Published: (1971)
New general solutions of ordinary differential equations and the methods of solving the boundary-value problems
by: D. S. Dzhumabaev
Published: (2019)
by: D. S. Dzhumabaev
Published: (2019)
A method of discretization of fractional-derivative systems of ordinary differential equations with constant coefficients
by: F. A. Aliev, et al.
Published: (2020)
by: F. A. Aliev, et al.
Published: (2020)
New general solutions of ordinary differential equations and the methods
of solving the boundary-value problems
by: Dzhumabaev, D. S., et al.
Published: (2019)
by: Dzhumabaev, D. S., et al.
Published: (2019)
Representations of canonical anticommutation relations with orthogonality condition
by: Yakymiv, R. Ya., et al.
Published: (2012)
by: Yakymiv, R. Ya., et al.
Published: (2012)
Ritz method in the problem of free vibrations of thin elastic shells
by: Trotsenko, Yu., et al.
Published: (2026)
by: Trotsenko, Yu., et al.
Published: (2026)
On N-th order nonlinear ordinary random differential equations
by: Dhage, B.C.
Published: (2010)
by: Dhage, B.C.
Published: (2010)
Asymptotic behavior of solutions to nonlinear systems of ordinary differential equations
by: V. M. Evtukhov, et al.
Published: (2014)
by: V. M. Evtukhov, et al.
Published: (2014)
Similar Items
-
Estimates for the Rate of Convergence in Ordinary Differential Equations under the Action of Random Processes with Fast Time
by: Bondarev, B. V., et al.
Published: (2005) -
Super-exponential rate of convergence of the Cayley transform method for an abstract differential equation
by: N. V. Maiko
Published: (2020) -
On the rate of convergence of an unstable solution of a stochastic differential equation
by: Mynbaeva, G. U., et al.
Published: (1994) -
Attractors of Ordinary Differential Equations
by: Voskresenskii, E. V., et al.
Published: (2000) -
A method for solution of nonlinear ordinary differential equations
by: Perchik, E. L., et al.
Published: (1995)