Properties of certain trigonometric series arising in numerical analysis

DOI10.1016/0022-247X(91)90155-SzbMath0753.42008MaRDI QIDQ1190573

S. Singh

Publication date: 26 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

rate of convergencenumerical methodsboundary integral equationstrigonometric seriesseries of orthogonal polynomials

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items

Fully-discrete collocation methods for an integral equation of the first kind, Spline qualocation methods for boundary integral equations, High-order collocation and quadrature methods for some logarithmic kernel integral equations on open arcs., An asymptotic series approach to qualocation methods, Stability of qualocation methods for elliptic boundary integral equations, An unconventional quadrature method for logarithmic-kernel integral equations on closed curves, Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels, Good lattice rules in weighted Korobov spaces with general weights, Numerical Evaluation of Some Trigonometric Series, Tolerant qualocation -- a qualocation method for boundary integral equations with reduced regularity requirement, Commutator properties for periodic splines, Discrete orthogonal projections on multiple knot periodic splines

Cites Work

• Spline qualocation methods for boundary integral equations
• On spline collocation methods for boundary integral equations in the plane
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