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Please use this identifier to cite or link to this item: http://dspace.lib.cranfield.ac.uk/handle/1826/188

Document Type: Technical Report
Title: Arbitrary-order high resolution schemes for model hyperbolic conservation laws
Authors: Shi, Jian
Issue Date: 1992
Abstract: This report investigates the general theory and methodology of high resolution numerical schemes for one-dimensional hyperbolic conservation laws. The Universal Formula from which 2-level explicit conservative arbitrary-order numerical methods can be derived is developed. This report also explores the issue of linear stability. A new approach to linear stability analysis is presented. The generalized formulation for TVD methods with stable region of -1 ≤ c ≤ 1 proposed. To demonstrate the theories, some third order and fourth order TVD methods are generated.
URI: http://hdl.handle.net/1826/188
Appears in Collections:College of Aeronautics Reports

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