## 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

## How to Calculate a Compositional History

*James C. G. Walker*

### in Numerical Adventures with Geochemical Cycles

- Published in print:
- 1991
- Published Online:
- November 2020
- ISBN:
- 9780195045208
- eISBN:
- 9780197560020
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195045208.003.0004
- Subject:
- Earth Sciences and Geography, Geochemistry

The most interesting theoretical problems in Earth system science cannot be solved by analytical methods; their solutions cannot be expressed as algebraic expressions; and so numerical solutions ... 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

## Optimization

*Max A. Little*

### in Machine Learning for Signal Processing: Data Science, Algorithms, and Computational Statistics

- Published in print:
- 2019
- Published Online:
- October 2019
- ISBN:
- 9780198714934
- eISBN:
- 9780191879180
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198714934.003.0002
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy, Mathematical Physics

Decision-making under uncertainty is a central topic of this book. A common scenario is the following: data is recorded from some (digital) sensor device, and we know (or assume) that there is some ... 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