The numerical solution of the autonomous Cauchy problem with algebraic constraints on the phase variables (Q1323949)
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scientific article; zbMATH DE number 584162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The numerical solution of the autonomous Cauchy problem with algebraic constraints on the phase variables |
scientific article; zbMATH DE number 584162 |
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The numerical solution of the autonomous Cauchy problem with algebraic constraints on the phase variables (English)
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6 July 1994
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An autonomous system of differential-algebraic equations \(x'= g(x,y)\), \(y(t)= f(x(t),y(t))\), \(x(0)= x^ 0\), \(y(0)= y^ 0\) is solved using two finite difference methods: the implicit Euler method in combination with the simple iteration method and the implicit Adams method combined with Newton's method. A theorem on the convergence and accuracy is proved.
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Cauchy problem
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autonomous system of differential-algebraic equations
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finite difference methods
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implicit Euler method
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simple iteration method
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implicit Adams method
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Newton's method
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convergence
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