Stability concepts in the numerical solution of difference and differential equations (Q1334561)

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scientific article; zbMATH DE number 641430
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Stability concepts in the numerical solution of difference and differential equations
scientific article; zbMATH DE number 641430

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    Stability concepts in the numerical solution of difference and differential equations (English)
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    21 September 1994
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    The paper is concerned with the description of some new algorithms for numerical solutions of initial value problems. For this, the author proposes an algorithm for solving linear second-order recurrence relations, and the stable computation of nondominant solutions. He describes some practical methods for solving an initial value problem for a first-order differential system and mentions the possibility to apply these procedures to partial differential equations.
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    stability
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    Runge-Kutta methods
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    linear multistep methods
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    difference equations
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    algorithms
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    linear second-order recurrence relations
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    nondominant solutions
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    initial value problem
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    first-order differential system
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