Orthogonal polynomials, Padé approximations and A-stability
Copyright policy )Orthogonal polynomials, Padé approximations and A-stability
A new proof is given for the classical result by \textit{B. L. Ehle} [SIAM J. Math. Anal. 4, 671-680 (1973; Zbl 0266.65018)] that the diagonal and the first two subdiagonal Padé approximations to the exponential function are \(A\)-acceptable. The proof is based on homotopy arguments and proceeds by induction.
- University of Auckland New Zealand
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Runge-Kutta methods, Padé approximations, exponential function, \(A\)-stability, Nonlinear ordinary differential equations and systems, \(A\)-stable methods, Stability and convergence of numerical methods for ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Runge-Kutta methods, Padé approximations, exponential function, \(A\)-stability, Nonlinear ordinary differential equations and systems, \(A\)-stable methods, Stability and convergence of numerical methods for ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations
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