One-step multiderivative methods for first order ordinary differential equations
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Publication:1158930
DOI10.1007/BF01932848zbMath0474.65052OpenAlexW2010837066MaRDI QIDQ1158930
E. H. Twizell, Abdul Q. M. Khaliq
Publication date: 1981
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01932848
predictor-corrector methodsNewton-Cotes quadrature formulas21, 518-527 (1981)linear multi-stepone-step multiderivative methodsPade approximants to the exponential function
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Cites Work
- Unnamed Item
- On the solution of \(y' = f(x,y)\) by a class of high accuracy difference formulae of low order
- One-step multiderivative methods for first order ordinary differential equations
- Asymptotic error estimation for one-step methods based on quadrature
- The Extrapolation of First Order Methods for Parabolic Partial Differential Equations, II
- The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I
- High order a-stable methods for the numerical solution of systems of D.E.'s
- A class ofA-stable methods
- On smoothing and extrapolation for the trapezoidal rule