A Fast Algorithm to Solve Nonhomogeneous Cauchy–Riemann Equations in the Complex Plane

DOI10.1137/0913080zbMath0762.65013OpenAlexW1996767273MaRDI QIDQ4015238

Prabir K. Daripa

Publication date: 12 January 1993

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0913080

zbMATH Keywords

numerical resultsfast Fourier transformsboundary value problemscalingrecursive relationsFourier coefficientsfast algorithmBeltrami equationnonhomogeneous Cauchy-Riemann equation

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 of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Geometric function theory (30C99)

Related Items (12)

QCMC: quasi-conformal parameterizations for multiply-connected domains ⋮ Numerical solution of the Beltrami equation via a purely linear system ⋮ Complex geometrical optics solutions for anisotropic equations and applications ⋮ Algebraic structures in generalized Clifford analysis and applications to boundary value problems ⋮ The FFTRR-based fast direct algorithms for complex inhomogeneous biharmonic problems with applications to incompressible flows ⋮ A brief review of some application driven fast algorithms for elliptic partial differential equations ⋮ Computing quasiconformal maps using an auxiliary metric and discrete curvature flow ⋮ Computing extremal Teichmüller map of multiply-connected domains via Beltrami holomorphic flow ⋮ A Robin boundary value problem in the upper half plane for the Bitsadze equation ⋮ Complex geometrical optics solutions for anisotropic equations and applications ⋮ Conformal mapping in linear time ⋮ Convergence of a numerical solver for an \(\mathbb R\)-linear Beltrami equation

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