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Approximation of the Crank-Nicholson method by the iterated dynamic-theta method
Authors:Thomas Schanze
Affiliation:Applied Physics - NeuroPhysics Group, Department of Physics, Philipps University, Renthof 7, D-35032 Marburg, Germany
Abstract:Choptuik's iterated Crank-Nicholson method has become a popular algorithm for solving partial differential equations in computational physics. We generalize Choptuik's explicit iteration approach to implicit finite difference schemes, by the introduction of a novel method with an iteration step dependent parameter and analyze its stability and computational efficiency.
Keywords:02  60  L  02  30  J
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