✦ LIBER ✦

Convergence of iterative methods for a fourth-order discretization scheme

✍ Scribed by J. Zhang

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 351 KB
Volume: 10
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(97)00010-4

No coin nor oath required. For personal study only.

✦ Synopsis

Communicated by D. G. M. Anderson

Abstract--we prove, that under certain conditions, some classical iterative methods converge for the linear system resulting from a fourth-order compact discretization of the convection-diffusion equation.

📜 SIMILAR VOLUMES

On convergence and performance of iterat

On convergence and performance of iterative methods with fourth-order compact schemes

✍ Jun Zhang 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 508 KB

We study the convergence and performance of iterative methods with the fourth-order compact discretization schemes for the one-and two-dimensional convection-diffusion equations. For the one-dimensional problem, we investigate the symmetrizability of the coefficient matrix and derive an analytical f

Iterative method for solving a nonlinear

Iterative method for solving a nonlinear fourth order boundary value problem

✍ Quang A. Dang; Vu Thai Luan 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 354 KB

In the study of transverse vibrations of a hinged beam there arises a boundary value problem for fourth order ordinary differential equation, where a significant difficulty lies in a nonlinear term under integral sign. In recent years several authors considered finite approximation of the problem an

Full-Order Convergence of a Mixed Finite

Full-Order Convergence of a Mixed Finite Element Method for Fourth-Order Elliptic Equations

✍ Jichun Li 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 132 KB

Iterative methods for the boundary value

Iterative methods for the boundary value problem of a fourth-order differential-difference equation

✍ Wang Peiguang 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 347 KB

A family of iterative methods with sixth

A family of iterative methods with sixth and seventh order convergence for nonlinear equations

✍ Alicia Cordero; José L. Hueso; Eulalia Martínez; Juan R. Torregrosa 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 263 KB

Estimates of the rate of convergence of

Estimates of the rate of convergence of difference schemes for fourth-order elliptic equations

✍ I.P. Gavrilyuk; R.D. Lazarov; V.L. Makarov; S.I. Pirnazarov 📂 Article 📅 1983 🏛 Elsevier Science ⚖ 379 KB

The second boundary value problem is considered for two-dimensional linear and quasilinear fourth-order elliptic equations in a rectangle, when the solution belongs to classes IV~3+~ s=O,i. Using operators of exact difference schemes, schemes are constructed for which convergence-rate estimates of o