Numerical quadrature formulas through the theory of analytic functions

DOI10.1080/0020739950260105zbMath0881.65010OpenAlexW2025300682MaRDI QIDQ4359929

Kin-Kiu Tam, Yue Kuen Kwok

Publication date: 20 October 1997

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020739950260105

zbMATH Keywords

quadrature formulasanalytic functionsFourier series expansion methodnumerical inversion of Laplace transforminversion algorithmsPoisson-type kernelskernel approximation methodLaguerre polynomial expansion method

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Laplace transform (44A10) Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

• Numerical evaluation of integrals of periodic functions with Cauchy and Poisson type kernels
• A method for the numerical inversion of Laplace transforms
• Modified quadrature formulas for functions with nearby poles
• Modified quadrature formula for integrand with nearby poles
• Software for an implementation of Weeks' method for the inverse Laplace transform
• An algorithm for the numerical inversion of Laplace transforms
• Numerical Inversion of Laplace Transforms Using Laguerre Functions

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