On the stability of rational Runge Kutta methods
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Publication:1169795
DOI10.1016/0771-050X(82)90054-7zbMath0495.65032OpenAlexW2045909350MaRDI QIDQ1169795
Publication date: 1982
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0771-050x(82)90054-7
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Related Items (7)
\(L\)-stable explicit nonlinear method with constant and variable step-size formulation for solving initial value problems ⋮ An embedded 3(2) pair of nonlinear methods for solving first order initial-value ordinary differential systems ⋮ Numerical experiments on the rational Runge-Kutta method ⋮ Solving first-order initial-value problems by using an explicit non-standard \(A\)-stable one-step method in variable step-size formulation ⋮ A note on contractivity in the numerical solution of initial value problems ⋮ Convergence of the Lambert-McLeod trajectory solver and of the CELF method ⋮ Rational Runge-Kutta methods are not suitable for stiff systems of ODEs
Cites Work
- Solution of the equations associated with rational Runge-Kutta methods of orders up to four
- Unconditionally stable explicit methods for parabolic equations
- Nonlinear methods in solving ordinary differential equations
- Rational Runge-Kutta methods for solving systems of ordinary differential equations
- [https://portal.mardi4nfdi.de/wiki/Publication:5339699 On the Numerical Solution of y � = f(x, y) by a Class of Formulae Based on Rational Approximation]
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