Efficient Initialization of Stiff Systems with One Unknown Initial Condition
Copyright policy )Efficient Initialization of Stiff Systems with One Unknown Initial Condition
Consider a stiff system of ordinary differential equations for which one of the initial values is unknown. We develop an efficient procedure to determine the unknown initial value in such a way that the solution of the system does not have an initial transient. The procedure works and is meaningful only if the Jacobian matrix of the system has exactly one stiff eigenvalue. We apply the procedure to the solution of a problem in the physics of the upper ionosphere.
stiff system, Geophysics, unknown initial condition, stiff eigenvalue, initial transient, problem in the physics of the upper ionosphere, Numerical methods for initial value problems involving ordinary differential equations
stiff system, Geophysics, unknown initial condition, stiff eigenvalue, initial transient, problem in the physics of the upper ionosphere, Numerical methods for initial value problems involving ordinary differential equations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).9 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!