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Numerical Methods for Delay Differential Equations

Alfredo Bellen and Marino Zennaro

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506546
eISBN:
9780191709609
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506546.001.0001
Subject:
Mathematics, Numerical Analysis

The main purpose of the book is to introduce the numerical integration of the Cauchy problem for delay differential equations (DDEs) and of the neutral type. Comparisons between DDEs and ordinary ... More


Stability Analysis of Runge-Kutta Methods For DDEs

Alfredo Bellen and Marino Zennaro

in Numerical Methods for Delay Differential Equations

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506546
eISBN:
9780191709609
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506546.003.0010
Subject:
Mathematics, Numerical Analysis

This chapter addresses the stability analysis of numerical methods, mainly Runge-Kutta, with respect to the test equations introduced in Chapter 9. Due to the many-sided stability requirements and ... More


MHD MODELS FOR ONE INDUSTRIAL APPLICATION

Jean-Frédéric Gerbeau, Claude Le Bris, and Tony Lelièvre

in Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198566656
eISBN:
9780191718014
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566656.003.0006
Subject:
Mathematics, Mathematical Physics

This chapter is entirely devoted to one industrial application, the simulation of the industrial production of aluminium in electrolytic cells. The simulation of this specific problem has indeed ... More


INCOMPRESSIBLE FLOW SIMULATIONS: VERIFICATION AND VALIDATION

George Em Karniadakis and Spencer J. Sherwin

in Spectral/hp Element Methods for Computational Fluid Dynamics

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528692
eISBN:
9780191713491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528692.003.0009
Subject:
Mathematics, Numerical Analysis

This chapter discusses numerical simulations of the incompressible Navier-Stokes equations. Exact Navier-Stokes solutions are presented that are used as benchmarks to validate new codes and evaluate ... More


Optimal Control Theory with Applications in Economics

Thomas A. Weber

Published in print:
2011
Published Online:
August 2013
ISBN:
9780262015738
eISBN:
9780262298483
Item type:
book
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262015738.001.0001
Subject:
Mathematics, Probability / Statistics

This book bridges optimal control theory and economics, discussing ordinary differential equations (ODEs), optimal control, game theory, and mechanism design in one volume. Technically rigorous and ... More


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