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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


Numerical Methods for Image Registration

Jan Modersitzki

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198528418
eISBN:
9780191713583
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528418.001.0001
Subject:
Mathematics, Applied Mathematics

This text provides an introduction to the theoretical, practical, and numerical aspects of image registration, with special emphasis on medical imaging. Given a so-called reference and template ... More


BEYOND MEAN-FIELD THEORY

Glenn H. Fredrickson

in The Equilibrium Theory of Inhomogeneous Polymers

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567295
eISBN:
9780191717956
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567295.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

This chapter describes analytical and numerical methods for analyzing polymer field theory models beyond the mean-field approximation. Analytical treatments of field fluctuations at the Gaussian ... More


SELF-CONSISTENT FIELD THEORY

Glenn H. Fredrickson

in The Equilibrium Theory of Inhomogeneous Polymers

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567295
eISBN:
9780191717956
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567295.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the topic of self-consistent field theory, a mean-field approximation method for analyzing the statistical field models constructed in Chapter 4. The mean-field approximation ... More


Numerical Method

Gary A. Glatzmaier

in Introduction to Modeling Convection in Planets and Stars: Magnetic Field, Density Stratification, Rotation

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691141725
eISBN:
9781400848904
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691141725.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter describes a numerical method for solving equations of thermal convection on a computer. It begins by introducing the vorticity-streamfunction formulation as a means of conserving mass. ... More


Density Stratification

Gary A. Glatzmaier

in Introduction to Modeling Convection in Planets and Stars: Magnetic Field, Density Stratification, Rotation

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691141725
eISBN:
9781400848904
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691141725.003.0012
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter examines the effects of large variations in density with depth, that is, density stratification. It first describes anelastic models for 2D cartesian box and 2D cylindrical annulus ... More


SINGLE CHAINS IN EXTERNAL FIELDS

Glenn H. Fredrickson

in The Equilibrium Theory of Inhomogeneous Polymers

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567295
eISBN:
9780191717956
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567295.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines the subject of polymers experiencing external potential fields that vary in space. The statistical mechanical problem is reduced to the solution of Fokker-Planck equations, and ... More


Methods of Numerical Integration

Luc Bauwens, Michel Lubrano, and Jean-François Richard

in Bayesian Inference in Dynamic Econometric Models

Published in print:
2000
Published Online:
September 2011
ISBN:
9780198773122
eISBN:
9780191695315
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198773122.003.0003
Subject:
Economics and Finance, Econometrics

This chapter examines the application of numerical methods in econometrics and provides some methods useful for Bayesian inference in econometrics. It presents the general principle of Bayesian ... More


Numerical Methods for Solving First-Order Conditions in Dynamic Optimization Problems

GREGORY C. CHOW

in Dynamic Economics: Optimization by the Lagrange Method

Published in print:
1997
Published Online:
October 2011
ISBN:
9780195101928
eISBN:
9780199855032
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195101928.003.0009
Subject:
Economics and Finance, Financial Economics

While there have already been a large number of efforts to explain the numerical solutions to dynamic optimization problems that are based mainly on dynamic programming, in this chapter the author ... More


Valuing Lives, in Four Movements

Dan Bouk

in How Our Days Became Numbered: Risk and the Rise of the Statistical Individual

Published in print:
2015
Published Online:
January 2016
ISBN:
9780226259178
eISBN:
9780226259208
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226259208.003.0006
Subject:
History, History of Science, Technology, and Medicine

This chapter structures its narrative around a sales pitch written by the composer and insurance agent Charles Ives. Ives’ pitch used the science of traditional life insurance prediction to win over ... More


Computational Seismology: A Practical Introduction

Heiner Igel

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198717409
eISBN:
9780191835070
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198717409.001.0001
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

This volume is an introductory text to a range of numerical methods used today to simulate time-dependent processes in Earth science, physics, engineering, and many other fields. The physical problem ... More


Applications in Earth Sciences

Heiner Igel

in Computational Seismology: A Practical Introduction

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198717409
eISBN:
9780191835070
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198717409.003.0010
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

The domains of applications in seismology where simulation of seismic wavefields are needed are discussed. These include: geophysical exploration, regional wave propagation, global and planetary ... More


Reactive Flows in the Dissipative Regime

Raymond Brun

in Introduction to Reactive Gas Dynamics

Published in print:
2009
Published Online:
May 2009
ISBN:
9780199552689
eISBN:
9780191720277
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199552689.003.0012
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter examines reactive flows in dissipative regime in equilibrium and non-equilibrium conditions. It begins with a discussion of boundary layer flows, focusing on the influence of the ... More


Dielectric Models and Computer Simulations for Complex Aggregates

Valerică Raicu, Katsuhisa Sekine, and Koji Asami

in Dielectric Relaxation in Biological Systems: Physical Principles, Methods, and Applications

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199686513
eISBN:
9780191766398
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199686513.003.0004
Subject:
Physics, Soft Matter / Biological Physics

Modeling of the dielectric properties of random suspensions of individual particles described in Chapter 1.2 is taken a step further in this chapter toward taking specific structural features of ... More


Computer Simulations

Paul Humphreys

in Philosophical Papers

Published in print:
2019
Published Online:
May 2019
ISBN:
9780199334872
eISBN:
9780190219710
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199334872.003.0002
Subject:
Philosophy, Philosophy of Science

The need to solve analytically intractable models has led to the rise of a new kind of science, computational science, of which computer simulations are a special case. It is noted that the ... More


Introduction

Marco Bittelli, Gaylon S. Campbell, and Fausto Tomei

in Soil Physics with Python: Transport in the Soil–Plant–Atmosphere System

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199683093
eISBN:
9780191763175
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199683093.003.0001
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

This chapter starts with the importance of understanding the processes involved in the transport of mass and energy in the soil–plant–atmosphere continuum and gives an overview of soil physics. A ... More


Numerical Methods for the Kinetic Theory of Fluids

Sauro Succi

in The Lattice Boltzmann Equation: For Complex States of Flowing Matter

Published in print:
2018
Published Online:
June 2018
ISBN:
9780199592357
eISBN:
9780191847967
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199592357.003.0010
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

This chapter provides a bird’s eye view of the main numerical particle methods used in the kinetic theory of fluids, the main purpose being of locating Lattice Boltzmann in the broader context of ... More


Soil Physics with Python: Transport in the Soil–Plant–Atmosphere System

Marco Bittelli, Gaylon S. Campbell, and Fausto Tomei

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199683093
eISBN:
9780191763175
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199683093.001.0001
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

This book presents numerical methods to solve soil physics problems using computers. It starts with the theory and then shows how to use Python code to solve the problems. Most soil physics books ... More


Kinetic Theory and Transport Phenomena

Rodrigo Soto

Published in print:
2016
Published Online:
June 2016
ISBN:
9780198716051
eISBN:
9780191824401
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198716051.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This textbook presents kinetic theory, which is a systematic approach to describing nonequilibrium systems. The text is balanced between the fundamental concepts of kinetic theory (irreversibility, ... More


Applied Computational Physics

Joseph F. Boudreau and Eric. S. Swanson

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198708636
eISBN:
9780191858598
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198708636.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Applied Computational Physics describes methods for solving a vast array of classical and quantum mechanical scientific problems while stressing modern computational paradigms for achieving these ... More


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