The Computational Theory of Riemann-Hilbert Problems - Lecture 4

The Computational Theory of Riemann-Hilbert Problems - Lecture 4

International Centre for Theoretical Sciences via YouTube Direct link

Deformations

25 of 25

25 of 25

Deformations

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The Computational Theory of Riemann-Hilbert Problems - Lecture 4

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  1. 1 Integrable systems in Mathematics, Condensed Matter and Statistical Physics
  2. 2 The computational theory of Riemann-Hilbert problems Lecture 4
  3. 3 Computing Cauchy integrals
  4. 4 A controlled basis
  5. 5 Generalizing the contours
  6. 6 A definition and a singular integral equation
  7. 7 Sobolev spaces
  8. 8 Zero-sum space
  9. 9 Regularity of the jump matrix
  10. 10 Associated operators
  11. 11 Smoothness
  12. 12 Some notes on numerical solutions
  13. 13 The numerical solution of Riemann- Hilbert problems
  14. 14 The defocusing nonlinear Schrodinger equation
  15. 15 The initial value problem
  16. 16 An important calculation
  17. 17 Steepest descent
  18. 18 [Code Walkthrough]
  19. 19 A deformation
  20. 20 The KdV equation
  21. 21 The KdV equation with decaying data
  22. 22 Nonlinear superposition
  23. 23 With some solitons
  24. 24 Other work
  25. 25 Deformations

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