## Numerical Methods: Proceedings of the International Workshop Held at Caracas, June 14-18, 1982 |

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### Contents

A BREBRIAA new development in computational engineering | 16 |

B CHEN CBARPENTIER A method for solving nonlinear parabolic equations | 37 |

DUFF A multifrontal approach for solving sparse linear equations | 87 |

Copyright | |

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algebra algorithm assume basic subgroup basic submodules Butler group cardinality closed submodule column compute construction contains Corollary coset coset condition countable decomposition defined definition denote diagonal direct sum direct summand endomorphism rings equations equivalent exact sequence exists finite element finite rank free abelian groups Fuchs Galois group G group of finite Hence homogeneous homomorphism I-split ideal idempotent implies induces integral isomorphic iteration Lemma Let G linear m-separable Math matrix maximal method modules morphism non-zero nonlinear obtain p-group p-rank preradical prime problem proj.dim projective dimension Proof Proposition prove pure subgroup pure submodule quasi-isomorphic quotient R-module reduced satisfies socle solution splitting strongly indecomposable subgroup of G subring subset sum of cyclic Suppose Theorem theory topology torsion torsion-free abelian group torsion-free group Ulm invariants valuated group valuation domain vector