On the condition number of the influence matrix belonging to some first kind integral equations with logarithmic kernel

DOI10.1080/00036818608839589zbMath0595.65124OpenAlexW2083055727WikidataQ58154152 ScholiaQ58154152MaRDI QIDQ3727318

Søren Christiansen, Wolfgang L. Wendland

Publication date: 1986

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818608839589

zbMATH Keywords

condition numberboundary integral equationsscalingasymptotic error analysisspline collocationfirst kindspline Galerkin

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

The conditioning of some numerical methods for first kind boundary integral equations, On the stability of the spline collocation method for a class of integral equations of the first kind, Solution of potential problems using combinations of the regular and derivative boundary integral equations, First kind integral equations for the numerical solution of the plane Dirichlet problem, Modifications of some first kind integral equations with logarithmic kernel to improve numerical conditioning

Cites Work

• A Galerkin collocation method for some integral equations of the first kind
• A finite element method for some integral equations of the first kind
• Numerical mapping of exterior domains
• Some applications of a galerkin‐collocation method for boundary integral equations of the first kind
• On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel/^†
• Condition number of matrices derived from two classes of integral equations
• Integral Equations without a Unique Solution can be made Useful for Solving some Plane Harmonic Problems
• Numerical solution of an integral equation with a logarithmic kernel
• Solution of Boundary Value Problems by Integral Equations of the First Kind
• Unnamed Item
• Unnamed Item
• Unnamed Item