Article Contents
Article Contents

# On asymptotic expansion solvers for highly oscillatory semi-explicit DAEs

• The paper is concerned with the discretization and solution of DAEs of index $1$ and subject to a highly oscillatory forcing term. Separate asymptotic expansions in inverse powers of the oscillatory parameter are constructed to approximate the differential and algebraic variables of the DAEs. The series are truncated to enable practical implementation. Numerical experiments are provided to illustrate the effectiveness of the method.
Mathematics Subject Classification: Primary: 65L80, 34E05; Secondary: 34A09.

 Citation:

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