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portada High-Order Central Weno Schemes for Multi-Dimensional Hamilton-Jacobi Equations
Type
Physical Book
Author
Publisher
Language
English
Pages
42
Format
Paperback
Dimensions
24.6x18.9x0.2 cm
Weight
0.10 kg.
ISBN13
9781289290528
Categories

High-Order Central Weno Schemes for Multi-Dimensional Hamilton-Jacobi Equations

Nasa Technical Reports Server (Ntrs) (Author) · Steve Bryson (Author) · Doron Levy (Author) · Bibliogov · Paperback

High-Order Central Weno Schemes for Multi-Dimensional Hamilton-Jacobi Equations - Bryson, Steve ; Levy, Doron ; Nasa Technical Reports Server (Ntrs)

New Book Imported to South Africa
Delivery: 07 Oct - 20 Oct Shipping: 16 to 20 business days.
R 475
R 475

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Synopsis "High-Order Central Weno Schemes for Multi-Dimensional Hamilton-Jacobi Equations"

We present new third- and fifth-order Godunov-type central schemes for approximating solutions of the Hamilton-Jacobi (HJ) equation in an arbitrary number of space dimensions. These are the first central schemes for approximating solutions of the HJ equations with an order of accuracy that is greater than two. In two space dimensions we present two versions for the third-order scheme: one scheme that is based on a genuinely two-dimensional Central WENO reconstruction, and another scheme that is based on a simpler dimension-by-dimension reconstruction. The simpler dimension-by-dimension variant is then extended to a multi-dimensional fifth-order scheme. Our numerical examples in one, two and three space dimensions verify the expected order of accuracy of the schemes.

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