The numerical solution of strongly singular integral equation of a notched half plane problem (Rapporti tecnici/preprint/working paper)

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Label
  • The numerical solution of strongly singular integral equation of a notched half plane problem (Rapporti tecnici/preprint/working paper) (literal)
Anno
  • 2007-01-01T00:00:00+01:00 (literal)
Alternative label
  • Capobianco M.R., Criscuolo G., Junghanns P. (2007)
    The numerical solution of strongly singular integral equation of a notched half plane problem
    (literal)
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  • Capobianco M.R., Criscuolo G., Junghanns P. (literal)
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  • Rapporto Tecnico Iac Sede di Napoli n.332/02 (2007) (literal)
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  • Rapporto Tecnico Iac Sede di Napoli n.332/02 (2007) (literal)
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  • For the numerical solution of the hypersingular integral equation of a notched half plane problem we propose collocation methods which look for an approximation of the derivative of the solution of the original equation. This derivative is the solution of a Cauchy singular integral equation with additional fixed singularities. We also give a solvability analysis of the original equation which motivates the suggested numerical methods. (literal)
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  • Altro (literal)
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  • Maria Rosaria Capobianco, Istituto per le Applicazioni del Calcolo \"Mauro Picone\", CNR Giuliana Criscuolo, Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli \"Federico II\", Peter Junghanns, Department of Mathematics Chemnitz University of Technology D-09107 Chemnitz Germany (literal)
Titolo
  • The numerical solution of strongly singular integral equation of a notched half plane problem (literal)
Abstract
  • For the numerical solution of the hypersingular integral equation of a notched half plane problem we propose collocation methods which look for an approximation of the derivative of the solution of the original equation. This derivative is the solution of a Cauchy singular integral equation with additional fixed singularities. We also give a solvability analysis of the original equation which motivates the suggested numerical methods. (literal)
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