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Stiff Oscillatory Systems, Delta Jumps and White Noise.

Abstract:

Two model problems for stiff oscillatory systems are introduced. Both comprise a linear superposition of N ≫ 1 harmonic oscillators used as a forcing term for a scalar ODE. In the first case the initial conditions are chosen so that the forcing term approximates a delta function as N → ∞ and in the second case so that it approximates white noise. In both cases the fastest natural frequency of the oscillators is script O sign(N). The model problems are integrated numerically in the stiff regim...

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Publication status:
Published

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Publisher copy:
10.1007/s10208001002

Authors


Journal:
Foundations of Computational Mathematics
Volume:
1
Issue:
1
Pages:
69-100
Publication date:
2001-01-01
DOI:
EISSN:
1615-3383
ISSN:
1615-3375
URN:
uuid:60ba06af-6ea4-4a11-bd89-cb84e84626d1
Source identifiers:
188242
Local pid:
pubs:188242
Language:
English

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