Stability and absolute stability of a three-point difference scheme

DOI10.1016/S0898-1221(03)00083-XzbMath1053.39006MaRDI QIDQ1827177

Yanyan Li

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityabsolute stabilitythree-point difference scheme

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

Maximum principle for functional equations in the space of discontinuous functions of three variables ⋮ Regularity of the inversion problem for the Sturm-Liouville difference equation III. A criterion for regularity of the inversion problem ⋮ Regularity of the inversion problem for the Sturm-Liouville difference equation IV. Stability conditions for a three-point difference scheme with non-negative coefficients

Cites Work

• Regularity of the inversion problem for the Sturm-Liouville difference equation
• Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation
• A criterion for correct solvability of the Sturm-Liouville equation in the space 𝐿_{𝑝}(𝑅)
• A First Course in the Numerical Analysis of Differential Equations
• Regularity of the inversion problem for the Sturm-Liouville difference equation III. A criterion for regularity of the inversion problem
• Regularity of the inversion problem for the Sturm-Liouville difference equation. II: Two-sided estimates for the diagonal value of the Green function
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