Variations on a Theme of Euler

DOI10.1137/15M1032351MaRDI QIDQ2832114

Robert M. Corless, Julia E. Jankowski

Publication date: 7 November 2016

Published in: SIAM Review (Search for Journal in Brave)

zbMATH Keywords

numerical methodsoptimal backward errorTorricelli's lawmodified equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20)

Related Items (2)

A Random Walk Through Experimental Mathematics ⋮ Optimal residuals and the Dahlquist test problem

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Optimal residuals and the Dahlquist test problem
• Stiffness 1952--2012: sixty years in search of a definition
• The MATLAB ODE Suite
• Solving Ordinary Differential Equations I
• Robust and reliable defect control for Runge-Kutta methods
• On the Scope of the Method of Modified Equations
• A Graduate Introduction to Numerical Methods
• Geometric Numerical Integration
• Numerical Methods for Ordinary Differential Equations

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