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Innovative Methods for Numeric...
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Innovative Methods for Numerical Solution of Partial Differential Equations.
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Bibliographic Details
Main Author:
Hafez, M. M.
Other Authors:
Chattot, J. J.
Format:
eBook
Language:
English
Published:
Singapore :
World Scientific Publishing Company,
2001.
Subjects:
Differential equations, Partial
>
Numerical solutions
>
Congresses.
Differential equations, Partial
>
Numerical solutions
Conference papers and proceedings
Online Access:
Click for online access
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Description
Table of Contents
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Table of Contents:
Dedication ; Contributions of Philip Roe ; ""A One-Sided View:"" The Real Story ; 1 Historic backdrop ; 2 A new passion: limericks ; 3 ""A One-Sided View"" ; 4 Getting it (not) published ; 5 Epilogue ; 6 Post-script ; Collocated Upwind Schemes for Ideal MHD.
1 Introduction 2 Governing Equations ; 3 Elements of Solution Scheme ; 4 Validation of Scheme ; 5 Results ; 6 Concluding Remarks ; References ; The Penultimate Scheme for Systems of Conservation Laws: Finite Difference ENO with Marquina's Flux Splitting ; 1 Introduction.
2 Background and Motivation 3 Model Equations and Discretizations ; 4 Spatial Discretization ; 5 Time Discretization ; 6 The Finite Difference ENO Scheme ; 7 Marquina's Flux Splitting ; 8 Examples ; 9 Conclusions ; 10 Acknowledgements ; References.
A Finite Element Based Level-Set Method for Multiphase Flows 1 Introduction ; 2 The Navier-Stokes Equations ; 3 The Level-Set Method ; 4 Numerical Integration of a Discontinuous Function ; 5 Numerical Simulations using the Level-Set Method ; 6 Alternative Methods ; References.
The GHOST Fluid Method for Viscous Flows 1 Introduction ; 2 Equations ; 3 The GFM for Inviscid Flow ; 4 Generalization of the Ghost Fluid Method ; 5 The Viscous Stress Tensor ; 6 Examples ; 7 Acknowledgements ; References ; Factorizable Schemes for the Equations of Fluid Flow.
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