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Birkhäuser

Numerical Methods and Software Tools in Industrial Mathematics

  • Book
  • © 1997

Overview

Editors:
  1. Morten Dæhlen

    1. SINTEF Applied Mathematics, Blindern, Oslo, Norway

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    You can also search for this editor in PubMed   Google Scholar

  2. Aslak Tveito

    1. Department of Informatics, University of Oslo, Oslo, Norway

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-4
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  2. Numerical Software Tools

    1. Front Matter

      Pages 5-5
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    2. Object-Oriented Numerics

      • Erlend Arge, Are Magnus Bruaset, Hans Petter Langtangen
      Pages 7-26

    3. Basic Tools for Linear Algebra

      • Are Magnus Bruaset, Hans Petter Langtangen
      Pages 27-44

    4. Software Tools for Modelling Scattered Data

      • Erlend Arge, Øyvind Hjelle
      Pages 45-60

    5. A Comprehensive Set of Tools for Solving Partial Differential Equations; Diffpack

      • Are Magnus Bruaset, Hans Petter Langtangen
      Pages 61-90

    6. On the Numerical Efficiency of C++ in Scientific Computing

      • Erlend Arge, Are Magnus Bruaset, Phillip B. Calvin, Joseph F. Kanney, Hans Petter Langtangen, Cass T. Miller
      Pages 91-118

  3. Partial Differential Equations

    1. Front Matter

      Pages 119-119
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    2. Basic Equations in Eulerian Continuum Mechanics

      • Einar Haug, Hans Petter Langtangen
      Pages 121-156

    3. A Mathematical Model of Macrosegregation Formation in Binary Alloy Solidification

      • Einar Haug, Torgeir Rusten, Håvard J. Thevik
      Pages 157-176

    4. Computation of Macrosegregation due to Solidification Shrinkage

      • Asbjørn Mo, Torgeir Rusten, Håvard J. Thevik
      Pages 177-194

    5. A Mathematical Model for the Melt Spinning of Polymer Fibers

      • Erik Andreassen, Elisabeth Gundersen, Einar L. Hinrichsen, Hans Petter Langtangen
      Pages 195-212

    6. Finite Element Methods for Two-Phase Flow in Heterogeneous Porous Media

      • Elisabeth Gundersen, Hans Petter Langtangen
      Pages 213-234

    7. Splines and Ocean Wave Modelling

      • Even Mehlum
      Pages 235-253

    8. Krylov Subspace Iterations for Sparse Linear Systems

      • Are Magnus Bruaset
      Pages 255-280

    9. Preconditioning Linear Saddle Point Problems

      • Torgeir Rusten, Ragnar Winther
      Pages 281-298

  4. Geometric Modelling

    1. Front Matter

      Pages 299-299
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    2. Surface Modelling from Scattered Geological Data

      • Nils P. Fremming, Øyvind Hjelle, Christian Tarrou
      Pages 301-315

    3. Varioscale Surfaces in Geographic Information Systems

      • Gunnar Misund
      Pages 317-328

    4. Surface Modelling from Biomedical Data

      • Jan G. Bjaalie, Morten Dæhlen, Trond Vidar Stensby
      Pages 329-346
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About this book

13. 2 Abstract Saddle Point Problems . 282 13. 3 Preconditioned Iterative Methods . 283 13. 4 Examples of Saddle Point Problems 286 13. 5 Discretizations of Saddle Point Problems. 290 13. 6 Numerical Results . . . . . . . . . . . . . 295 III GEOMETRIC MODELLING 299 14 Surface Modelling from Scattered Geological Data 301 N. P. Fremming, @. Hjelle, C. Tarrou 14. 1 Introduction. . . . . . . . . . . 301 14. 2 Description of Geological Data 302 14. 3 Triangulations . . . . . . . . 304 14. 4 Regular Grid Models . . . . . 306 14. 5 A Composite Surface Model. 307 14. 6 Examples . . . . . . 312 14. 7 Concluding Remarks. . . . . 314 15 Varioscale Surfaces in Geographic Information Systems 317 G. Misund 15. 1 Introduction. . . . . . . . . . . . . . . 317 15. 2 Surfaces of Variable Resolution . . . . 318 15. 3 Surface Varioscaling by Normalization 320 15. 4 Examples . . . 323 15. 5 Final Remarks . . . . . . . . . . . . . 327 16 Surface Modelling from Biomedical Data 329 J. G. Bjaalie, M. Dtllhlen, T. V. Stensby 16. 1 Boundary Polygons. . . . . . . . . . . 332 16. 2 Curve Approximation . . . . . . . . . 333 16. 3 Reducing Twist in the Closed Surface 336 16. 4 Surface Approximation. 337 16. 5 Open Surfaces. . . . 339 16. 6 Examples . . . . . . 340 16. 7 Concluding Remarks 344 17 Data Reduction of Piecewise Linear Curves 347 E. Arge, M. Dtllhlen 17. 1 Introduction. . . . . . . . . . . 347 17. 2 Preliminaries . . . . . . . . . . 349 17. 3 The Intersecting Cones Method 351 17. 4 The Improved Douglas Method 353 17. 5 Numerical Examples . . . . . . 360 17. 6 Resolution Sorting . . . . . . . . . . . . . . . . . . 361 18 Aspects of Algorithms for Manifold Intersection 365 T. Dokken 18. 1 Introduction . . . . . . . . . . . . . . . 365 18. 2 Basic Concepts Used . . . . . . . . . .

Editors and Affiliations

  • SINTEF Applied Mathematics, Blindern, Oslo, Norway

    Morten Dæhlen

  • Department of Informatics, University of Oslo, Oslo, Norway

    Aslak Tveito

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