Multidimensional Weakly Singular Integral Equations

The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing shar...

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Detaylı Bibliyografya
Yazar: Vainikko, Gennadi, 1938-...., mathématicien
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Seri Bilgileri:Lecture notes in mathematics 1549
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Edition sous un autre format:• Multidimensional weakly singular integral equations, Gennadi Vainikko, 1993, Berlin, Springer-Verlag, 1 volume (XI-158 pages), Lecture notes in mathematics, 3-540-56878-6
• Multidimensional Weakly Singular Integral Equations, Texte imprimé, 9783662171592
İçindekiler:
  • Some problems leading to multidimensional weakly singular integral equations
  • Preliminaries
  • Smoothness of the solution
  • Outlines of the discrete convergence theory
  • Piecewise constant collocation and related methods
  • Composite cubature algorithms
  • Higher order methods
  • Nonlinear integral equation.