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Numerical Quadrature Methods For Integrals Of Singular Periodic Functions And Their Application To Singular And Weakly Singular Integral Equations by Avram Sidi
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1NASA Technical Reports Server (NTRS) 19860022356: Numerical Quadrature Methods For Integrals Of Singular Periodic Functions And Their Application To Singular And Weakly Singular Integral Equations
By NASA Technical Reports Server (NTRS)
High accuracy numerical quadrature methods for integrals of singular periodic functions are proposed. These methods are based on the appropriate Euler-Maclaurin expansions of trapezoidal rule approximations and their extrapolations. They are used to obtain accurate quadrature methods for the solution of singular and weakly singular Fredholm integral equations. Such periodic equations are used in the solution of planar elliptic boundary value problems, elasticity, potential theory, conformal mapping, boundary element methods, free surface flows, etc. The use of the quadrature methods is demonstrated with numerical examples.
“NASA Technical Reports Server (NTRS) 19860022356: Numerical Quadrature Methods For Integrals Of Singular Periodic Functions And Their Application To Singular And Weakly Singular Integral Equations” Metadata:
- Title: ➤ NASA Technical Reports Server (NTRS) 19860022356: Numerical Quadrature Methods For Integrals Of Singular Periodic Functions And Their Application To Singular And Weakly Singular Integral Equations
- Author: ➤ NASA Technical Reports Server (NTRS)
- Language: English
“NASA Technical Reports Server (NTRS) 19860022356: Numerical Quadrature Methods For Integrals Of Singular Periodic Functions And Their Application To Singular And Weakly Singular Integral Equations” Subjects and Themes:
- Subjects: ➤ NASA Technical Reports Server (NTRS) - FREDHOLM EQUATIONS - NUMERICAL ANALYSIS - PERIODIC FUNCTIONS - QUADRATURES - SINGULAR INTEGRAL EQUATIONS - BOUNDARY ELEMENT METHOD - BOUNDARY VALUE PROBLEMS - CONFORMAL MAPPING - ELASTIC PROPERTIES - Sidi, A. - Israeli, M.
Edition Identifiers:
- Internet Archive ID: NASA_NTRS_Archive_19860022356
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