• Media type: E-Article
  • Title: Fast Solvers of Integral and Pseudodifferential Equations on Closed Curves
  • Contributor: Saranen, J.; Vainikko, G.
  • Published: American Mathematical Society, 1998
  • Published in: Mathematics of Computation, 67 (1998) 224, Seite 1473-1491
  • Language: English
  • ISSN: 0025-5718; 1088-6842
  • Origination:
  • Footnote:
  • Description: On the basis of a fully discrete trigonometric Galerkin method and two grid iterations we propose solvers for integral and pseudodifferential equations on closed curves which solve the problem with an optimal convergence order |u<sub>N</sub> - u|<sub>λ</sub> ≤ c<sub>λ,μ</sub>N<sup>λ - μ</sup>|u|<sub>μ</sub>, λ ≤ μ (Sobolev norms of periodic functions) in O (N log N) arithmetical operations.
  • Access State: Open Access