Reinhard Frank
Vienna University of Technology
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Publication
Featured researches published by Reinhard Frank.
SIAM Journal on Numerical Analysis | 1981
Reinhard Frank; Josef Schneid; Christoph W. Ueberhuber
A useful concept of convergence for nonlinear stiff ODE’s will be developed, which permits the derivation of uniform global error bounds independent of the stiffness of the considered problem. This concept will be discussed for three simple methods for stiff systems, the implicit Euler scheme, the implicit midpoint rule and the implicit trapezoidal rule.
SIAM Journal on Numerical Analysis | 1985
Reinhard Frank; Josef Schneid; Christoph W. Ueberhuber
New stability concepts—
Bit Numerical Mathematics | 1977
Reinhard Frank; Christoph W. Ueberhuber
BS
Computing | 1978
Reinhard Frank; Christoph W. Ueberhuber
-stability and
Numerische Mathematik | 1989
Winfried Auzinger; Reinhard Frank
BSI
Mathematics of Computation | 1977
Reinhard Frank; Joerg Hertling; Christoph W. Ueberhuber
-stability (internal
SIAM Journal on Numerical Analysis | 1990
Winfried Auzinger; Reinhard Frank; F. Macsek
BS
Computing | 1983
Reinhard Frank; J. Hertling; J. P. Monnet
-stability)—are introduced.
Computing | 1990
Winfried Auzinger; Reinhard Frank; Gabriela Kirlinger
BS
Journal of Computational and Applied Mathematics | 1993
Winfried Auzinger; Reinhard Frank; Gabriela Kirlinger
-stability is a modification and extension of B-stability and enables the derivation of order results for Runge–Kutta methods applied to general nonlinear stiff initial value problems. These order results (B-consistency, B-convergence) are not affected by stiffness. Several classes of implicit Runge–Kutta methods are shown to be