Finite-difference stable stencils based on least-square quadric fitting

DOI10.1016/J.CPC.2010.06.004zbMath1219.65089OpenAlexW2021388951MaRDI QIDQ548966

Pablo M. Dupuy, Luciano E. Patruno, Hugo Atle Jakobsen, Hallvard F. Svendsen

Publication date: 30 June 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2010.06.004

zbMATH Keywords

stabilityconvergenceheat equationnumerical examplesfinite differenceill-posed problemsflux correction transportstencil

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Higher-order parabolic equations (35K25) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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A fractional-step thermal lattice Boltzmann model for high Peclet number flow

Cites Work

• Unnamed Item
• Some results on uniformly high-order accurate essentially nonoscillatory schemes
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Weighted essentially non-oscillatory schemes
• Anti-diffusive flux corrections for high order finite difference WENO schemes
• An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow
• A fractional step lattice Boltzmann method for simulating high Reynolds number flows
• An efficient and conservative hybrid method for solving multidimensional conservation laws

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