A variational approach to stochastic nonlinear problems (Q1093995)
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scientific article; zbMATH DE number 4024442
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A variational approach to stochastic nonlinear problems |
scientific article; zbMATH DE number 4024442 |
Statements
A variational approach to stochastic nonlinear problems (English)
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1986
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A variational principle is formulated which enables the mean value and higher moments of the solution of a stochastic nonlinear differential equation to be expressed as stationary values of certain quantities. Approximations are generated by using suitable trial functions in this variational principle and some of these are investigated numerically for the case of a Bernoulli oscillator driven by white noise. Comparison with exact data available for this system shows that the variational approach to such problems can be quite effective.
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trial functions
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statistical linearization
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variational principle
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Bernoulli oscillator
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0.9516506
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0.9488255
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0.94415665
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