## International colloquium on numerical analysis: proceedings of the third international colloquium on numerical analysis, plovdiv, bulgaria, 13-17 August, 1994The Third International Colloquium on Numerical Analysis was organized by UNESCO and the Plovdiv Technical University, with the help of many international mathematical organizations, and was held in Plovdiv, Bulgaria, 13--17 August 1994. This proceedings volume contains selected invited talks which deal with the following topics: -- numerical methods of algebra -- analysis -- ordinary and partial differential equations |

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### Contents

Preface | 1 |

Numerical Solutions of Singular Nonlinear Boundary Value Problems | 16 |

Solutions of Butzers Problems Linear Form and Some Algebraic | 40 |

Convergence of a Finite Volume Scheme for a Nonlinear | 61 |

A Conservative BSpline Finite Element Method for | 81 |

A Four Point Finite Volume Scheme for a Diffusion Convection | 97 |

Monotone Iterations for Numerical Solutions of Nonlinear | 98 |

Liu | 117 |

An Approach to Automatic Finite Element Mesh Generation | 135 |

Numerical Aspects of Multivariate Interpolation and Approximation | 151 |

Essentially NonOscillatory Finite Difference Finite Volume | 171 |

A MultiPeak System Identification | 191 |

Parallel Algorithms for Linear Algebra on a Shared Memory | 209 |

222 | |

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### Common terms and phrases

approximation error automatic differentiation B-spline Bainov Bernstein polynomials boundary calculated code list coefficients collocation methods condition conservation laws constructed continuous selection convergence Covachev Eds defined Delaunay triangulation denote derefinement differential equations digit dimension domain efficiency ENO schemes entropy process solution entropy weak solution essentially non-oscillatory evaluation example exists finite difference finite element method Finite Volume Methods finite volume scheme floating-point numbers formula given hyperbolic initial value problems integration interpolation scheme iterative kernel Kronecker product Lemma linear LU decomposition Math Mathematics matrix maximal redundant metric projections nodes nonlinear norm numerical scheme observation points obtained orthogonal parameters pivotal column positive ppps processors proof Proposition QR Factorization quasiinterpolants recursive triangle round-off errors rowa rows Runge-Kutta satisfies selections for metric sequence soliton solve space stability step tetrahedra Theorem transformation triangular mesh triangulation uniqueness updates variables vector zero