Fast high-order integral equation methods for solving boundary value problems of two dimensional heat equation in complex geometry

DOI10.1007/s10915-018-0872-xzbMath1464.65156OpenAlexW2900913246MaRDI QIDQ2311986

Jing Wang, Shaobo Wang, Shidong Jiang

Publication date: 4 July 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0872-x

zbMATH Keywords

heat equationhigh-order methodsheat kernelsintegral equation methodsnonuniform FFTsum-of-exponentials approximation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Numerical methods for discrete and fast Fourier transforms (65T50) Volterra integral equations (45D05) Heat kernel (35K08) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

Related Items (4)

An integral equation method for the advection-diffusion equation on time-dependent domains in the plane ⋮ An integral equation-based numerical method for the forced heat equation on complex domains ⋮ Fast \(\theta\)-Maruyama scheme for stochastic Volterra integral equations of convolution type: mean-square stability and strong convergence analysis ⋮ Hierarchical interpolative factorization preconditioner for parabolic equations

Uses Software

• DLMF
• NUFFT
• GitHub
• FINUFFT

Cites Work

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