Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions

This publication has 18 references indexed in Scilit:

• Two-step fourth-order P-stable methods with phase-lag of order six for y″ = f(t, y)
  Journal of Computational and Applied Mathematics, 1986
• A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: explicit method
  Journal of Computational and Applied Mathematics, 1986
• Linear Multistep Methods with Reduced Truncation Error for Periodic Initial-value Problems
  IMA Journal of Numerical Analysis, 1984
• Damping and phase analysis for some methods for solving second‐order ordinary differential equations
  International Journal for Numerical Methods in Engineering, 1983
• High orderP-stable formulae for the numerical integration of periodic initial value problems
  Numerische Mathematik, 1981
• Two-step fourth orderP-stable methods for second order differential equations
  BIT Numerical Mathematics, 1981
• A one‐step method for direct integration of structural dynamic equations
  International Journal for Numerical Methods in Engineering, 1980
• Runge-Kutta algorithms for oscillatory problems
  Zeitschrift für angewandte Mathematik und Physik, 1979
• Stabilized Runge–Kutta Methods for Second Order Differential Equations without First Derivatives
  SIAM Journal on Numerical Analysis, 1979
• Numerical integration of ordinary differential equations based on trigonometric polynomials
  Numerische Mathematik, 1961