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Unconditionally stable explicit methods for parabolic equations

Published in Numerische Mathematik. 1980, vol. 35, no. 1, p. 57-68
Abstract This paper discusses rational Runge-Kutta methods for stiff differential equations of high dimensions. These methods are explicit and in addition do not require the computation or storage of the Jacobian. A stability analysis (based on n-dimensional linear equations) is given. A second order A_0-stable method with embedded error control is constructed and numerical results of stiff problems originating from linear and nonlinear parabolic equations are presented.
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HAIRER, Ernst. Unconditionally stable explicit methods for parabolic equations. In: Numerische Mathematik, 1980, vol. 35, n° 1, p. 57-68. doi: 10.1007/BF01396370 https://archive-ouverte.unige.ch/unige:12542

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Deposited on : 2010-11-19

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