Explicit, ninth order, two step methods for solving inhomogeneous linear problems \(x(t)= \Lambda x(t)+f(t)\)
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Publication:1986165
DOI10.1016/j.apnum.2020.03.003zbMath1436.65085OpenAlexW3010093941MaRDI QIDQ1986165
Ch. Tsitouras, Theodore E. Simos
Publication date: 7 April 2020
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2020.03.003
Related Items (4)
A new implicit high-order six-step singularly P-stable method for the numerical solution of Schrödinger equation ⋮ New family for Runge‐Kutta‐Nyström pairs of orders 6(4) with coefficients trained to address oscillatory problems ⋮ Runge–Kutta pairs of orders 8(7) with extended stability regions for addressing linear inhomogeneous systems ⋮ Evolutionary derivation of Runge-Kutta pairs for addressing inhomogeneous linear problems
Uses Software
Cites Work
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- Symbolic derivation of Runge-Kutta-Nyström order conditions
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- Trigonometric-fitted explicit Numerov-type method with vanishing phase-lag and its first and second derivatives
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- Explicit two-step methods for second-order linear IVPs
- Hybrid Numerov-type methods with coefficients trained to perform better on classical orbits
- Evolutionary generation of high-order, explicit, two-step methods for second-order linear IVPs
- The efficient solution of linear constant-coefficient systems of differential equations
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- Ninth‐order, explicit, two‐step methods for second‐order inhomogeneous linear IVPs
- On Runge-Kutta processes of high order
- Implicit Runge-Kutta Processes
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