Computing with Functions on Domains with Arbitrary Shapes

DOI10.1007/978-3-319-59912-0_5zbMath1385.65020OpenAlexW2739320570MaRDI QIDQ4609798

Roel Matthysen, Daan Huybrechs

Publication date: 26 March 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/585091

zbMATH Keywords

characteristic functionFourier seriesMandelbrot setcomputational costfunction approximationcomplex domainsleast squares approximationgraphical examplefractal shapes

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (1)

Pointwise and uniform convergence of Fourier extensions

Uses Software

• Chebfun

Cites Work

• On the numerical stability of Fourier extensions
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• A sharp-interface active penalty method for the incompressible Navier-Stokes equations
• Fast Algorithms for the Computation of Fourier Extensions of Arbitrary Length
• A Fast Algorithm for Fourier Continuation
• Analysis of Fictitious Domain Approximations of Hard Scatterers
• The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier
• Frames and Numerical Approximation
• A Class of Nonharmonic Fourier Series

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