product iamge

Numerical Methods and Software Tools in Industrial Mathematics

This document was uploaded by one of our users. The uploader already confirmed that they had the permission to publish it. If you are author/publisher or own the copyright of this documents, please report to us by using this DMCA report form.

Download
Search on Amazon

Simply click on the Download Book button.

Yes, Book downloads on Ebookily are 100% Free.

Sometimes the book is free on Amazon As well, so go ahead and hit "Search on Amazon"

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 . . . . . . . . . .

Author(s): Erlend Arge, Are Magnus Bruaset, Hans Petter Langtangen (auth.), Morten Dæhlen, Aslak Tveito (eds.)
Edition: 1
Publisher: Birkhäuser Basel
Year: 1997

Language: English
Pages: 400
Tags: Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics; Computational Science and Engineering; Numerical Analysis; Applications of Mathematics

Front Matter....Pages i-4
Front Matter....Pages 5-5
Object-Oriented Numerics....Pages 7-26
Basic Tools for Linear Algebra....Pages 27-44
Software Tools for Modelling Scattered Data....Pages 45-60
A Comprehensive Set of Tools for Solving Partial Differential Equations; Diffpack....Pages 61-90
On the Numerical Efficiency of C++ in Scientific Computing....Pages 91-118
Front Matter....Pages 119-119
Basic Equations in Eulerian Continuum Mechanics....Pages 121-156
A Mathematical Model of Macrosegregation Formation in Binary Alloy Solidification....Pages 157-176
Computation of Macrosegregation due to Solidification Shrinkage....Pages 177-194
A Mathematical Model for the Melt Spinning of Polymer Fibers....Pages 195-212
Finite Element Methods for Two-Phase Flow in Heterogeneous Porous Media....Pages 213-234
Splines and Ocean Wave Modelling....Pages 235-253
Krylov Subspace Iterations for Sparse Linear Systems....Pages 255-280
Preconditioning Linear Saddle Point Problems....Pages 281-298
Front Matter....Pages 299-299
Surface Modelling from Scattered Geological Data....Pages 301-315
Varioscale Surfaces in Geographic Information Systems....Pages 317-328
Surface Modelling from Biomedical Data....Pages 329-346
Data Reduction of Piecewise Linear Curves....Pages 347-364
Aspects of Algorithms for Manifold Intersection....Pages 365-380
Surface Editing....Pages 381-396
Back Matter....Pages 397-400