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Stiff systems of ordinary differential equations. Part 1. Completely stiff, homogeneous systems

1981
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The Journal of the Australian Mathematical Society Series B Applied Mathematics
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For the completely stiff real homogeneous system ex = A(t, e)x, where e is a small positive parameter, a method is given for the construction of a basis for the solution space. If A has n linearly independent eigenvector functions, then there exists a choice of these, {s,}, with corresponding eigenvalue functions {\}, such that there is a local basis for solution, that takes the form v,.]exp[ £ -'/\]}, where v, is a vector that tends to zero with e. In general, a basis of this form exists only

doi:10.1017/s0334270000000047
fatcat:4nobx4am6bdthfhwse3a5oemcu