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Convergence of Runge–Kutta methods applied to linear partial differential-algebraic equations

Kristian Debrabant, K. Strehmel

Applied Numerical Mathematics · 2004 · 22 citations · 5 references

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5

Runge-Kutta methods for parabolic equations and convolution quadrature

Ch. Lubich, Alexander Ostermann · Mathematics of Computation · 1993 · 179 citations · Full text

, , +16

Single step methods for inhomogeneous linear differential equations in Banach space

Philip Brenner, Michel Crouzeix, Vidar Thomée · RAIRO Analyse numérique · 1982 · 93 citations · Full text

, , +3

The Index of an Infinite Dimensional Implicit System

Stephen L. Campbell · Mathematical and Computer Modelling of Dynamical Systems · 1999 · 69 citations

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Indexes and Special Discretization Methods for Linear partial Differential Algebraic Equations

W. Lucht, K. Strehmel, C. Eichler-Liebenow · BIT Numerical Mathematics · 1999 · 47 citations

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Convergence of Runge–Kutta methods for nonlinear parabolic equations

Alexander Ostermann, Mechthild Thalhammer · Applied Numerical Mathematics · 2002 · 39 citations

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