Order and stability of generalized Padé approximations
Applied Numerical Mathematics
On the construction of second derivative diagonally implicit multistage integration methods for ODEs
Applied Numerical Mathematics
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Order arrows were introduced to complement the use of order stars in the analysis of order and stability of numerical methods for ordinary differential equations. The present paper describes the properties of order arrows and surveys some of their known applications. It also includes a gallery of order arrow figures for both rational approximations and higher degree approximations to the exponential function.