Approximating conformal mappings

  • Context: Graduate 
  • Thread starter Thread starter jostpuur
  • Start date Start date
Click For Summary
SUMMARY

This discussion focuses on techniques for approximating conformal mappings, highlighting the use of numerical routines. The sctoolbox for Matlab is mentioned as a tool that effectively handles mappings to polygonal regions, while the Zipper program, written in Fortran, is noted for its speed in computing conformal maps. The primary application of these techniques is transforming partial differential equations (PDE) with challenging boundary conditions into more manageable boundary value problems.

PREREQUISITES
  • Understanding of conformal mappings
  • Familiarity with numerical methods for PDEs
  • Experience with Matlab and its sctoolbox
  • Knowledge of Fortran programming for using Zipper
NEXT STEPS
  • Research advanced techniques in conformal mapping approximation
  • Explore the capabilities of the sctoolbox for Matlab
  • Learn about the implementation and optimization of the Zipper program
  • Study the transformation of PDEs with complex boundary conditions
USEFUL FOR

Mathematicians, numerical analysts, and engineers working on complex boundary value problems or those interested in computational methods for PDEs.

jostpuur
Messages
2,112
Reaction score
19
Is there well known techniques for approximating conformal mappings? Some iterations, that converge towards conformal mappings, for example?
 
Physics news on Phys.org
dhris said:
What's the application?

Transforming PDE with boundary conditions on difficultly shaped boundaries into more pleasant boundary value problems.
 

Similar threads

Undergrad Conformal Mapping Wedge to Plate
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Understanding: double of conformally flat manifold is conformally flat
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Conformal and non-conformal mappings
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Conformal and non-conformal transformations
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Recast of a conformal line element
  • · Replies 4 ·
Replies
4
Views
1K
Graduate Conformal Mapping: Is Non-Analytic Point Conformal?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Video (analytic continuation) seems to mix 4-D & 2-D maps
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Hi,I need a conformal mapping that changes the superellipse to an
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Path between fixed points in a logistic map
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Conformal mapping between two half space
  • · Replies 2 ·
Replies
2
Views
3K