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      <p bold="true">Ordinary Differential Equations
Precision control for adaptive solvers</p>
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    <text lang="ger">
      <p bold="true">Gewöhnliche Differenzialgleichungen
Genauigkeitssteuerung bei adaptiven
Lösern</p>
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      <p href="Section Math ODE.sm">Ordinary Differential Equations</p>
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    <text lang="ger">
      <p href="Section Math ODE.sm">Gewöhnliche Differenzialgleichungen</p>
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      <p href="Section Math ODE Intro.sm">Introduction</p>
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      <p href="Section Math ODE Intro.sm">Einführung</p>
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      <p>Some solvers use adaptive algorithms, where step size and/or integration method 
(implicit/explicit) is controlled using error estimators and tolerance settings.</p>
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      <p>Einige Löser verfügen über eine adaptive Algorithmen, bei denen Schrittweite und/oder
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      <p>Precision control can be done via relative or absolute tolerances. Relative tolerances
specify the ratio between maximum allowed error and function value, whereas absolute
tolerances directly specify the allowable error.</p>
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      <p>Bei der Genauigkeitssteuerung unterscheidet man relative und absolute Toleranzen.
Relative Toleranzen geben das maximal zulässige Verhältnis zwischen Fehler und
Funktionswert vor, während absolute Toleranzen direkt den zulässigen Fehler angeben.</p>
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      <p href="Handbook.sm">Contents</p>
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      <p href="Handbook.sm">Inhalt</p>
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      <p href="Mathematik.sm">Mathematics</p>
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      <p href="Mathematik.sm">Mathematik</p>
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      <p href="Section Math ODE.sm">Ordinary Differential Equations</p>
    </text>
    <text lang="ger">
      <p href="Section Math ODE.sm">Gewöhnliche Differenzialgleichungen</p>
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      <p href="Section Math ODE Intro.sm">Introduction</p>
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      <p href="Section Math ODE Intro.sm">Einführung</p>
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      <p italic="true">$Author: mkraska $
$Date: 2013-08-29 01:40:53 +0200 (Do, 29. Aug 2013) $ </p>
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      <p href="Section Math ODE.sm">Ordinary Differential Equations</p>
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    <text lang="ger">
      <p href="Section Math ODE.sm">Gewöhnliche Differenzialgleichungen</p>
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      <p href="Mathematik.sm">Mathematics</p>
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      <p href="Mathematik.sm">Mathematik</p>
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      <p href="Handbook.sm">Contents</p>
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      <p href="Handbook.sm">Inhalt</p>
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      <p italic="true">M. Kraska, 2013-08-06 </p>
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