High-order non-oscillatory schemes for advection-reaction equations

05/04/03


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Table of Contents

High-order non-oscillatory schemes for advection-reaction equations

Motivation

Difficulties I: Spurious Oscillations

Difficulties II: Conservation

Difficulties III: accuracy barriers

Current Approaches:

The ADER Approach

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Numerical Results

Convergence rate studies

Extensions: The Linear Multi-dimensional Case

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Some numerical experiments

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Main Properties of ADER Schemes SUMMARY

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Author: Eleuterio Toro