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Sharpening the estimate of the stability constant in the maximum-norm of the Crank–Nicolson scheme for the one-dimensional heat equation by I. Faragó; C. Palencia is a Engineering article available to read on EtoBox.
What is Sharpening the estimate of the stability constant in the maximum-norm of the Crank–Nicolson scheme for the one-dimensional heat equation about?
This paper is concerned with the stability constant C ∞ in the maximum-norm of the Crank-Nicolson scheme applied to the one-dimensional heat equation. A well known result due to S.J. Serdyukova is that C ∞ < 23. In the present paper, by using a sharp resolvent estimate for the discrete Laplacian together with the Cauchy formula, it is shown that 3 C ∞ < 4.325. This bound also holds when the heat equation is considered on a bounded interval along with Dirichlet or Neumann boundary conditions.
Who reads Sharpening the estimate of the stability constant in the maximum-norm of the Crank–Nicolson scheme for the one-dimensional heat equation?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- I. Faragó; C. Palencia
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0168-9274)
- Published
- 2002
- Language
- EN
- Field
- Engineering (Physical Sciences)