New phase fitted and amplification fitted Numerov-type methods for periodic IVPs with two frequencies
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Publication:1925424
DOI10.1155/2012/742585zbMath1253.65110OpenAlexW2124836211WikidataQ58696707 ScholiaQ58696707MaRDI QIDQ1925424
Xiong You, Zhao-Xia Chen, Yong Lei Fang
Publication date: 18 December 2012
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/742585
Related Items (2)
Asymptotic hyperstability of a class of linear systems under impulsive controls subject to an integral Popovian constraint ⋮ On bounded strictly positive operators of closed range and some applications to asymptotic hyperstability of dynamic systems
Cites Work
- A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems
- New stable closed Newton-Cotes trigonometrically fitted formulae for long-time integration
- Optimizing a hybrid two-step method for the numerical solution of the Schrödinger equation and related problems with respect to phase-lag
- Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations
- Stability and phase-lag analysis of explicit Runge-Kutta methods with variable coefficients for oscillatory problems
- Trigonometrically-fitted method for a periodic initial value problem with two frequencies
- Trigonometrically fitted explicit Numerov-type method for periodic IVPs with two frequencies
- Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems
- Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation
- Accuracy and linear stability of RKN methods for solving second-order stiff problems
- Newton--Cotes formulae for long-time integration.
- Symplectic integrators for the numerical solution of the Schrödinger equation
- A generator of hybrid symmetric four-step methods for the numerical solution of the Schrödinger equation
- Trigonometrically fitted predictor--corrector methods for IVPs with oscillating solutions
- Zero dissipative, explicit Numerov-type methods for second order IVPs with oscillating solutions
- Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution.
- An optimized Runge-Kutta method for the solution of orbital problems
- A fourth algebraic order trigonometrically fitted predictor-corrector scheme for IVPs with oscillating solutions
- Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation
- Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics
- Exponentially fitted explicit Runge-Kutta-Nyström methods
- Exponentially-fitted explicit Runge-Kutta methods
- Optimization as a function of the phase-lag order of nonlinear explicit two-step \(P\)-stable method for linear periodic IVPs
- An explicit Numerov-type method for second-order differential equations with oscillating solutions
- A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions
- A class of explicit two-step hybrid methods for second-order IVPs
- Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
- Stability of collocation methods for the numerical solution ofy″=f (x,y)
- Symmetric Multistip Methods for Periodic Initial Value Problems
- Order conditions for a class of two-step methods for y = f (x, y)
- P-stability and exponential-fitting methods for y = f(x,y)
- Four-stage symplectic and P-stable SDIRKN methods with dispersion of high order
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