New Sixth-Order Compact Schemes for Poisson/Helmholtz Equations

DOI10.4208/nmtma.oa-2022-0073OpenAlexW4362736570MaRDI QIDQ6191772

Zhilin Li, Ke-jia Pan, Jin Li, Hongling Hu, Kang Fu

Publication date: 11 March 2024

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2022-0073

zbMATH Keywords

maximum principleHelmholtz equationPoisson equationstaggered gridsixth-order compact scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

• Unnamed Item
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• Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
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• High-order compact solvers for the three-dimensional Poisson equation
• On the Derivation of Highest-Order Compact Finite Difference Schemes for the One- and Two-Dimensional Poisson Equation with Dirichlet Boundary Conditions
• SIXTH-ORDER ACCURATE FINITE DIFFERENCE SCHEMES FOR THE HELMHOLTZ EQUATION
• Numerical Solution of Partial Differential Equations

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