Application of volume integrals to the solution of partial differential equations

DOI10.1016/0898-1221(85)90163-4zbMath0608.65074OpenAlexW2055786830MaRDI QIDQ1085961

Vladimir Rokhlin

Publication date: 1985

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(85)90163-4

zbMATH Keywords

numerical examplessecond kindweakly singular Fredholm integral equationsconjugate residual algorithmNyström quadrature method

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) Integral representations of solutions to PDEs (35C15) Iterative numerical methods for linear systems (65F10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (4)

Fast Spectrally-Accurate Solution of Variable-Coefficient Elliptic Problems ⋮ Numerical solution of the Orr-Sommerfeld equation using the viscous Green function and split-Gaussian quadrature ⋮ Rapid solution of integral equations of scattering theory in two dimensions ⋮ A comparison of splittings and integral equation solvers for a nonseparable elliptic equation

Cites Work

• Solution of acoustic scattering problems by means of second kind integral equations
• Rapid solution of integral equations of classical potential theory
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• Stress waves in anelastic solids
• Transmission problems for the Helmholtz equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Application of volume integrals to the solution of partial differential equations