Explicit Runge-Kutta (-Nystro¨m) methods with reduced phase errors for computing oscillating solutions

Optimized Runge-Kutta pairs for problems with oscillating solutions

Journal of Computational and Applied Mathematics

New methods for oscillatory problems based on classical codes

Applied Numerical Mathematics

Families of explicit two-step methods for integration of problems with oscillating solutions

Applied Mathematics and Computation

High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems

Applied Mathematics and Computation

Exponential fitted Runge--Kutta methods of collocation type: fixed or variable knot points?

Journal of Computational and Applied Mathematics

Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics

ICCMSE '03 Proceedings of the international conference on Computational methods in sciences and engineering

High order Runge-Kutta-Nyström codes for the integration of oscillatory problems

Applied Numerical Mathematics

Short note: a new minimum storage Runge-Kutta scheme for computational acoustics

Journal of Computational Physics

An optimized Runge-Kutta method for the solution of orbital problems

Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)

Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics

Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)

Runge-Kutta-Nyström methods with maximized stability domain in structural dynamics

Applied Numerical Mathematics - Tenth seminar on and differential-algebraic equations (NUMDIFF-10)

An explicit Numerov-type method for second-order differential equations with oscillating solutions

Computers & Mathematics with Applications

Phase-fitted and amplification-fitted two-step hybrid methods for y˝=f(x,y)

Journal of Computational and Applied Mathematics

A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions

Applied Numerical Mathematics

Four step in phase predictor corrector method for periodic initial value problems

Journal of Computational Methods in Sciences and Engineering

Scheifele two-step methods for perturbed oscillators

Journal of Computational and Applied Mathematics

Exponentially-fitted Obrechkoff methods for second-order differential equations

Applied Numerical Mathematics

A robust trigonometrically fitted embedded pair for perturbed oscillators

Journal of Computational and Applied Mathematics

Accuracy and linear stability of RKN methods for solving second-order stiff problems

Applied Numerical Mathematics

Runge--Kutta--Nyström methods with maximized stability domain in structural dynamics

Applied Numerical Mathematics

Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics

Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)

An optimized Runge-Kutta method for the solution of orbital problems

Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)

Efficient iterations for Gauss methods on second-order problems

Journal of Computational and Applied Mathematics

A new diagonally implicit Runge-Kutta-Nyström method for periodic IVPs

WSEAS Transactions on Mathematics

A fourth-order diagonally implicit Runge-Kutta-Nyström method with dispersion of high order

ASM'10 Proceedings of the 4th international conference on Applied mathematics, simulation, modelling

The performance of phase-lag enhanced explicit Runge-Kutta Nyström pairs on N-body problems

Journal of Computational and Applied Mathematics

An embedded 5(4) pair of explicit hybrid methods for solving oscillatory problems

ACC'11/MMACTEE'11 Proceedings of the 13th IASME/WSEAS international conference on Mathematical Methods and Computational Techniques in Electrical Engineering conference on Applied Computing

Singly-implicit stabilized extended one-step methods for second-order initial-value problems with oscillating solutions

Mathematical and Computer Modelling: An International Journal

Efficient energy-preserving integrators for oscillatory Hamiltonian systems

Journal of Computational Physics

Error bounds for explicit ERKN integrators for systems of multi-frequency oscillatory second-order differential equations

Applied Numerical Mathematics

Special extended Nyström tree theory for ERKN methods

Journal of Computational and Applied Mathematics

A highly accurate explicit symplectic ERKN method for multi-frequency and multidimensional oscillatory Hamiltonian systems

Numerical Algorithms

Trigonometrically fitted two-derivative Runge-Kutta methods for solving oscillatory differential equations

Numerical Algorithms