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...Expand abstract
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Stiff Oscillatory Systems, Delta Jumps and White Noise.
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