Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions

DOI10.1007/s10444-018-9641-5zbMath1430.65006arXiv1803.07668OpenAlexW2964030165WikidataQ129048927 ScholiaQ129048927MaRDI QIDQ2000499

Jun Wang, Leslie F. Greengard

Publication date: 28 June 2019

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.07668

zbMATH Keywords

Gauss transformgeometrically induced stiffnesshybrid asymptotic/numerical method

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Numerical methods for integral transforms (65R10) Numerical quadrature and cubature formulas (65D32) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items

A numerical scheme for the time-fractional diffusion equation by layer potentials, Bimolecular Binding Rates for Pairs of Spherical Molecules with Small Binding Sites, On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries, Nyström method for BEM of the heat equation with moving boundaries, A fast integral equation method for the two-dimensional Navier-Stokes equations

Uses Software

• SCPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable and accurate integral equation methods for scattering problems with multiple material interfaces in two dimensions
• Universal quadratures for boundary integral equations on two-dimensional domains with corners
• A fast method for solving the heat equation by layer potentials
• Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning
• Spectral approximation of the free-space heat kernel
• Multidimensional Fast Gauss Transforms by Chebyshev Expansions
• High Order Accurate Methods for the Evaluation of Layer Heat Potentials
• Numerical Computation of the Schwarz–Christoffel Transformation
• Hybrid Gauss-Trapezoidal Quadrature Rules
• Fast Adaptive Methods for the Free-Space Heat Equation
• The Numerical Solution of Integral Equations of the Second Kind
• An Adaptive Fast Gauss Transform in Two Dimensions
• A fast algorithm for the evaluation of heat potentials
• The Fast Gauss Transform