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  1. Applied Mathematics-A Journal of Chinese Universities
  2. Applied Mathematics-A Journal of Chinese Universities : Volume 14
  3. Applied Mathematics-A Journal of Chinese Universities : Volume 14, Issue 3, September 1999
  4. High order one-step A-stable exponentially fitted methods
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Applied Mathematics-A Journal of Chinese Universities : Volume 32
Applied Mathematics-A Journal of Chinese Universities : Volume 31
Applied Mathematics-A Journal of Chinese Universities : Volume 30
Applied Mathematics-A Journal of Chinese Universities : Volume 29
Applied Mathematics-A Journal of Chinese Universities : Volume 28
Applied Mathematics-A Journal of Chinese Universities : Volume 27
Applied Mathematics-A Journal of Chinese Universities : Volume 26
Applied Mathematics-A Journal of Chinese Universities : Volume 25
Applied Mathematics-A Journal of Chinese Universities : Volume 24
Applied Mathematics-A Journal of Chinese Universities : Volume 23
Applied Mathematics-A Journal of Chinese Universities : Volume 22
Applied Mathematics-A Journal of Chinese Universities : Volume 21
Applied Mathematics-A Journal of Chinese Universities : Volume 20
Applied Mathematics-A Journal of Chinese Universities : Volume 19
Applied Mathematics-A Journal of Chinese Universities : Volume 18
Applied Mathematics-A Journal of Chinese Universities : Volume 17
Applied Mathematics-A Journal of Chinese Universities : Volume 16
Applied Mathematics-A Journal of Chinese Universities : Volume 15
Applied Mathematics-A Journal of Chinese Universities : Volume 14
Applied Mathematics-A Journal of Chinese Universities : Volume 14, Issue 4, December 1999
Applied Mathematics-A Journal of Chinese Universities : Volume 14, Issue 3, September 1999
Counting rooted near-4-regular Eulerian maps on some surfaces
On construction of a class of nonlinear resilient functions
A simplified Brauer’s theorem on matrix eigenvalues
Invariant measures and uniform positive entropy property for inverse limits
Hermite-Fejer type interpolation of higher order
On the strictly positive solutions of nonautonomous Kolmogorov competition systems
The principle of robustness in generalized predictive control
Estimates of energies and moments for solutions of Boltzmann-Poisson system
Analytic solutions of a reaction diffusion system arising in the theory of superconductivity
Existence of positive radial solutions for some quasilinear elliptic equations in annular domains
Travelling front solution for a class of competition-diffusion system with high-order singular point
Nonlinear wavelet smoothing of error density in a semiparametric regression model
Nonconforming stabilized finite element methods based on Riesz-representing operators
Finite difference method and its convergent error analyses for thermistor problem
High order one-step A-stable exponentially fitted methods
Some results on R $_{2}$-edge-connectivity of even regular graphs
Applied Mathematics-A Journal of Chinese Universities : Volume 14, Issue 2, June 1999
Applied Mathematics-A Journal of Chinese Universities : Volume 14, Issue 1, March 1999
Applied Mathematics-A Journal of Chinese Universities : Volume 13
Applied Mathematics-A Journal of Chinese Universities : Volume 12

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High order one-step A-stable exponentially fitted methods

Content Provider Springer Nature Link
Author Yang, Fengjian Chen, Xinming Luo, Yiping
Copyright Year 1999
Abstract In this paper, the necessary and sufficient conditions for general one-step methods to be exponentially fitted at q $_{0}$∈C are given. A class of multiderivative hybrid one-step methods of order at least s+1 is constructed with s+1 parameters, where s is the order of derivative. The necessary and sufficient conditions for these methods to be A-stable and exponentially fitted is proved. Furthermore, a class of A-stable 2 parameters hybrid one-step methods of order at least 8 are constructed, which use 4th order derivative. These methods are exponentially fitted at q $_{0}$ if and only if its fitted function f(q) satisfies f(q $_{0}$)=0. Finally, an A-stable exponentially fitted method of order 8 is obtained.
Starting Page 359
Ending Page 365
Page Count 7
File Format PDF
ISSN 10051031
Journal Applied Mathematics-A Journal of Chinese Universities
Volume Number 14
Issue Number 3
e-ISSN 19930445
Language English
Publisher Editorial Committee of Applied Mathematics
Publisher Date 1999-01-01
Publisher Place Hangzhou
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Multiderivative hybrid method exponentially fitted method A-stability Splines Mathematics Applications of Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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