𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A family of predictor-corrector methods for second-order hyperbolic equations

✍ Scribed by Twizell, E. H. ;Khaliq, A. Q. M.

Publisher
Wiley (John Wiley & Sons)
Year
1989
Tongue
English
Weight
207 KB
Volume
5
Category
Article
ISSN
0748-8025

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A splitting positive definite mixed elem
A splitting positive definite mixed element method for second-order hyperbolic equations
✍ Jiansong Zhang; Danping Yang 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB

## Abstract In this article, we establish a new mixed finite element procedure, in which the mixed element system is symmetric positive definite, to solve the second‐order hyperbolic equations. The convergence of the mixed element methods with continuous‐ and discrete‐time scheme is proved. And the

A higher-order predictor–corrector schem
A higher-order predictor–corrector scheme for two-dimensional advection–diffusion equation
✍ Chuanjian Man; Christina W. Tsai 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 367 KB

## Abstract A higher‐order accurate numerical scheme is developed to solve the two‐dimensional advection–diffusion equation in a staggered‐grid system. The first‐order spatial derivatives are approximated by the fourth‐order accurate finite‐difference scheme, thus all truncation errors are kept to

Third-order methods for first-order hype
Third-order methods for first-order hyperbolic partial differential equations
✍ Cheema, T. A. ;Taj, M. S. A. ;Twizell, E. H. 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 102 KB

## Abstract In this paper numerical methods for solving first‐order hyperbolic partial differential equations are developed. These methods are developed by approximating the first‐order spatial derivative by third‐order finite‐difference approximations and a matrix exponential function by a third‐o

Error estimates using the cell discretiz
Error estimates using the cell discretization method for second-order hyperbolic equations
✍ Howard Swann 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 195 KB 👁 2 views

The cell discretization algorithm provides approximate solutions to second-order hyperbolic equations with coefficients independent of time. We obtain error estimates that show general convergence for homogeneous problems using semi-discrete approximations. A polynomial implementation of the algorit

Sequential and parallel methods for solv
Sequential and parallel methods for solving first-order hyperbolic equations
✍ Arigu, M. A. ;Twizell, E. H. ;Gumel, A. B. 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 478 KB

Techniques for two-time level difference schemes are presented for the numerical solution of first-order hyperbolic partial differential equations. The space derivative is approximated by (i) a low-order, and (ii) a higher-order backward difference replacement, resulting in a system of first-order o