Numerical estimation of the coefficient of the homogeneous Riemann- Hilbert problem on the basis of boundary data

DOI10.1016/0096-3003(91)90104-UzbMath0716.65021OpenAlexW2069217202MaRDI QIDQ753406

D. Kharzeev

Publication date: 1991

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(91)90104-u

zbMATH Keywords

Riemann-Hilbert problemcoefficient

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Boundary value problems in the complex plane (30E25) Integral equations with kernels of Cauchy type (45E05)

Cites Work

• Locating a straight crack in an infinite elastic medium by using complex path-independent integrals
• Application of complex path-independent integrals to the solution of the problem of a straight crack in a finite plane isotropic elastic medium
• Location of boundary contours and discontinuity arcs, of known shape and conditions, of analytic functions by using contour integrals
• Location of essential singularities of a class of analytic functions
• On Quadrature Rules for Ordinary and Cauchy Principal Value Integrals over Contours
• Existence and Uniqueness Theorems for the Neutron Transport Equation
• On Numerical Contour Integration Round a Closed Contour
• Numerical Evaluation of Integrals Around Simple Closed Curves
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