## Computational Methods in Applied Mathematics, Volume 8 |

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### Contents

A numerical method of bicharacteristics for quasilinear partial | 21 |

An ipadaptive strategy for the solution of the exact kernel curved wire | 39 |

On numerical upscaling for flows in heterogeneous porous media | 60 |

Copyright | |

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accuracy adaptive mesh algorithm Anal Applied Mathematics approximate solution Assumption Belarus block boundary conditions calculated Cauchy problem cell coarse grid coarse scale equation coefficients collocation computed consider constant corresponding decomposition defined denote derivatives difference scheme differential equations discrepancy principle discrete distribution domain domain decomposition methods dynamic adaptation E-mail eigenvalues error estimate exact solution example exponential finite difference finite element finite element method finite volume function Galerkin method grid points ill-posed problems inequality initial Institute of Mathematics integral equations interpolation inverse kernel Lavrentiev Lemma linear Math Mathematics Subject Classification matrix mesh refinement MsFEM multigrid multigrid methods multiscale nodes nonlinear norm numerical method numerical solution obtain operator monotone optimal parabolic partial differential equations permeability tensor piecewise polynomial porous media proof properties satisfied Section singular smooth solver solving splitting stability subdomain Theorem 4.1 Tikhonov regularization Vainikko voxels