## Finite Element Methods for Maxwell's Equations

*Peter Monk*

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198508885
- eISBN:
- 9780191708633
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198508885.001.0001
- Subject:
- Mathematics, Numerical Analysis

Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell’s equations is now an increasingly important tool in science and ... More

##
Competing Conveying System Advertisements: *Dynamic Air v. Flexicon Corporation*

*Roger W. Shuy*

### in Fighting over Words: Language and Civil Law Cases

- Published in print:
- 2008
- Published Online:
- May 2008
- ISBN:
- 9780195328837
- eISBN:
- 9780199870165
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195328837.003.0006
- Subject:
- Linguistics, Sociolinguistics / Anthropological Linguistics

A manufacturer of a product that transports, processes, and packages bulk materials with a pneumatic process sued a competing manufacturer that uses a screw process using the latter company's ... More

## Determining Sample Size: Balancing Power, Precision, and Practicality

*Patrick Dattalo*

- Published in print:
- 2008
- Published Online:
- January 2009
- ISBN:
- 9780195315493
- eISBN:
- 9780199865475
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195315493.001.0001
- Subject:
- Social Work, Research and Evaluation

Sample size determination is an important and often difficult step in planning an empirical study. From a statistical perspective, sample size depends on the following factors: type of analysis to be ... More

## Introduction

*Christopher G. Small and Jinfang Wang*

### in Numerical Methods for Nonlinear Estimating Equations

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198506881
- eISBN:
- 9780191709258
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198506881.003.0001
- Subject:
- Mathematics, Probability / Statistics

The first part of this chapter provides some background information on the problem of nonlinearity arising in statistical inference. In particular, it discusses the problem of multiple roots and ... More

## Artificial likelihoods and estimating functions

*Christopher G. Small and Jinfang Wang*

### in Numerical Methods for Nonlinear Estimating Equations

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198506881
- eISBN:
- 9780191709258
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198506881.003.0006
- Subject:
- Mathematics, Probability / Statistics

This chapter discusses the problem of root selection using artificial objective functions associated with an estimating function; the artificial likelihoods discussed in this chapter share many ... More

## PRELIMINARIES AND BASIC ESTIMATES

*Juan Luis Vázquez*

### in The Porous Medium Equation: Mathematical Theory

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198569039
- eISBN:
- 9780191717468
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198569039.003.0003
- Subject:
- Mathematics, Mathematical Physics

This chapter provides preliminary material on parabolic equations needed to develop the main theories of the book. It begins with a review of useful properties of quasilinear parabolic equations. ... More

## PRESSURE AND TEMPERATURE ESTIMATES

*Eduard Feireisl*

### in Dynamics of Viscous Compressible Fluids

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198528388
- eISBN:
- 9780191713590
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528388.003.0005
- Subject:
- Mathematics, Applied Mathematics

The discussion on the variational solutions is further developed in this chapter, where more delicate estimates of the pressure and temperature necessary for future analysis are obtained. These are ... More

## Inference for Non-linear Population Parameters

*Raymond L. Chambers and Robert G. Clark*

### in An Introduction to Model-Based Survey Sampling with Applications

- Published in print:
- 2012
- Published Online:
- May 2012
- ISBN:
- 9780198566625
- eISBN:
- 9780191738449
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566625.003.0011
- Subject:
- Mathematics, Probability / Statistics

Inference for non-linear population parameters develops model-based prediction theory for target parameters that are not population totals or means. The development initially is for the case where ... More

## The Role of Epidemiology in Estimating Radiation Risk: Basic Methods and Applications

*Owen J. Devine and Paul L. Garbe*

### in Radiological Risk Assessment and Environmental Analysis

- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780195127270
- eISBN:
- 9780199869121
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195127270.003.0013
- Subject:
- Biology, Ecology, Biochemistry / Molecular Biology

This chapter provides an overview of methods used in epidemiologic investigations with a special emphasis on approaches pertinent to radiation-related epidemiology. It begins with a description of ... More

## Wavelets

*Karsten Urban*

### in Wavelet Methods for Elliptic Partial Differential Equations

- Published in print:
- 2008
- Published Online:
- May 2009
- ISBN:
- 9780198526056
- eISBN:
- 9780191712340
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198526056.003.0005
- Subject:
- Mathematics, Applied Mathematics, Mathematical Finance

Starting from a Multiresolution Analysis, wavelets are introduced as a basis for the corresponding detail spaces. The main families are introduced, namely orthogonal Daubechies' wavelets as well as ... More

## Numerical Methods for Nonlinear Estimating Equations

*Christopher G. Small and Jinfang Wang*

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198506881
- eISBN:
- 9780191709258
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198506881.001.0001
- Subject:
- Mathematics, Probability / Statistics

Nonlinearity arises in statistical inference in various ways, with varying degrees of severity, as an obstacle to statistical analysis. More entrenched forms of nonlinearity often require intensive ... More

## MEG: An Introduction to Methods

*Peter Hansen, Morten Kringelbach, and Riitta Salmelin (eds)*

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780195307238
- eISBN:
- 9780199863990
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195307238.001.0001
- Subject:
- Neuroscience, Behavioral Neuroscience, Techniques

Magnetoencephalography (MEG) is an exciting brain imaging technology that allows real-time tracking of neural activity, making it an invaluable tool for advancing our understanding of brain function. ... More

## Varieties of Capital Punishment in Contemporary Asia

*David T. Johnson and Franklin E. Zimring*

### in The Next Frontier: National Development, Political Change, and the Death Penalty in Asia

- Published in print:
- 2009
- Published Online:
- May 2009
- ISBN:
- 9780195337402
- eISBN:
- 9780199868674
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195337402.003.0002
- Subject:
- Political Science, Comparative Politics

This chapter extends the analysis by profiling the great variety of death penalty policies in Asia, and it also outlines the research strategy employed in the chapters that follow. Its first and ... More

## THE CAUCHY PROBLEM WITH GROWING INITIAL DATA

*Juan Luis Vázquez*

### in The Porous Medium Equation: Mathematical Theory

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198569039
- eISBN:
- 9780191717468
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198569039.003.0012
- Subject:
- Mathematics, Mathematical Physics

This chapter examines general conditions on the initial data under which the PME can be solved. The emphasis is on non-negative solutions and the data are locally integrable functions. Signed ... More

## MATHEMATICAL ANALYSIS OF ONE-FLUID PROBLEMS

*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/9780198566656.003.0002
- Subject:
- Mathematics, Mathematical Physics

This chapter focuses on the modelling of one-fluid magnetohydrodynamics problems. The crucial point under consideration is the coupling between hydrodynamics phenomena and electromagnetic phenomena. ... More

## MATHEMATICAL ANALYSIS OF TWO-FLUID PROBLEMS

*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/9780198566656.003.0004
- Subject:
- Mathematics, Mathematical Physics

This chapter deals with the theoretical aspects of multifluid magnetohydrodynamics problems. In addition to the coupling between hydrodynamics and electromagnetics examined in Chapter 2, the high ... More

## FUNDAMENTAL CONCEPTS IN ONE DIMENSION

*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/9780198528692.003.0002
- Subject:
- Mathematics, Numerical Analysis

This chapter discusses the fundamental concepts that are further developed in the remainder of the book, in the context of a one-dimensional formulation. In doing so, the principles and underlying ... More

## The Scattering Problem Using Calderon Maps

*Peter Monk*

### in Finite Element Methods for Maxwell's Equations

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198508885
- eISBN:
- 9780191708633
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198508885.003.0010
- Subject:
- Mathematics, Numerical Analysis

This chapter presents a finite element method for scattering by a bounded scatterer in an infinite homogeneous background. The first task is to reduce the problem to a bounded domain, and in this ... More

## Scattering by a Bounded Inhomogeneity

*Peter Monk*

### in Finite Element Methods for Maxwell's Equations

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198508885
- eISBN:
- 9780191708633
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198508885.003.0011
- Subject:
- Mathematics, Numerical Analysis

This chapter continues the approximation of the field scattered by a bounded object. In this case, a penetrable scatterer (i.e., not a perfect conductor) is considered and the analysis of the ... More

## Local Error Estimate and Variable Stepsize

*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/9780198506546.003.0007
- Subject:
- Mathematics, Numerical Analysis

This chapter focuses on the stepsize control mechanism, which plays a central role in the production of efficient numerical codes for DDEs. In particular, the importance of the choice of the ... More