On the Generalized Padé Approximations to the Exponential Function
Copyright policy )On the Generalized Padé Approximations to the Exponential Function
A new way to generalize the Pade approximations to the exponential function is presented, in the broader context of numerical solution of stiff differential systems and rational interpolation to the exponential. Various stability and dominancy properties of these approximations are discussed.
dominancy, Approximation by rational functions, stiff systems, general rational approximations, maximal interpolation theorem, Pade approximation, A-stability, Padé approximation, Numerical methods for initial value problems involving ordinary differential equations, exponential fitting
dominancy, Approximation by rational functions, stiff systems, general rational approximations, maximal interpolation theorem, Pade approximation, A-stability, Padé approximation, Numerical methods for initial value problems involving ordinary differential equations, exponential fitting
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