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## Spatial Discretizations

*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/9780691141725.003.0009
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter considers two ways of employing a spatial resolution that varies with position within a finite-difference method: using a nonuniform grid and mapping to a new coordinate variable. It ... More

## Finite‐Difference Methods for Continuous‐Time Dynamic Programming

*Graham V. Candler*

### in Computational Methods for the Study of Dynamic Economies

- Published in print:
- 2001
- Published Online:
- November 2003
- ISBN:
- 9780199248278
- eISBN:
- 9780191596605
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199248273.003.0008
- Subject:
- Economics and Finance, Macro- and Monetary Economics

Introduces some of the methods and underlying ideas behind computational fluid dynamics—in particular, the use is discussed of finite‐difference methods for the simulation of dynamic economies. A ... More

## Difference engines: from Müller to Comrie

*Michael R. Williams*

### in The History of Mathematical Tables: From Sumer to Spreadsheets

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198508410
- eISBN:
- 9780191708831
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198508410.003.0006
- Subject:
- Mathematics, History of Mathematics

Most people in the computing disciplines know of the famous difference engine designed by Charles Babbage, but many are unaware of several others that were produced after Babbage's efforts and even ... 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

## Estimating Aboveground Net Primary Production in Shrub-Dominated Ecosystems

*Donald R. Young*

### in Principles and Standards for Measuring Primary Production

- Published in print:
- 2007
- Published Online:
- September 2007
- ISBN:
- 9780195168662
- eISBN:
- 9780199790128
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195168662.003.0004
- Subject:
- Biology, Ecology

Shrublands pose particularly difficult challenges for primary production measurement because of the complex structure of the vegetation. Classical approaches are described, including dimension ... More

## Numerical Methods for Nonlinear Elliptic Differential Equations: A Synopsis

*Klaus Boehmer*

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780199577040
- eISBN:
- 9780191595172
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199577040.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Nonlinear elliptic problems play an increasingly important role in mathematics, science and engineering, and create an exciting interplay. Other books discuss nonlinearity by a very few important ... More

## Causal Regularities 1

*J. L. Mackie*

### in The Cement of the Universe: A Study of Causation

- Published in print:
- 1980
- Published Online:
- November 2003
- ISBN:
- 9780198246428
- eISBN:
- 9780191597954
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198246420.003.0004
- Subject:
- Philosophy, Metaphysics/Epistemology

This chapter offers a consideration of the regularity theory of causation. Mackie argues for the claim that regularity can account only for part of our account of causal statements. Also discussed is ... More

## Methods for Computing the States of Quantum Structures

*Vurgaftman Igor*

### in Bands and Photons in III-V Semiconductor Quantum Structures

- Published in print:
- 2020
- Published Online:
- January 2021
- ISBN:
- 9780198767275
- eISBN:
- 9780191821431
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198767275.003.0009
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter presents a detailed development of several numerical methods for calculating the band structure of semiconductor quantum wells and superlattices. These include the transfer-matrix ... More

## Engineering of Valuation Models without Simulations

*Andrew Davidson and Alexander Levin*

### in Mortgage Valuation Models: Embedded Options, Risk, and Uncertainty

- Published in print:
- 2014
- Published Online:
- August 2014
- ISBN:
- 9780199998166
- eISBN:
- 9780199363698
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199998166.003.0009
- Subject:
- Economics and Finance, Financial Economics

This chapter introduces non-Monte Carlo methods of MBS valuation including closed-form solution of the OAS equation. Authors consider different specifications of prepayment function and illustrate ... 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

## Causation, Nomic Determination, and the Counterfactual Test

*Boris Kment*

### in Modality and Explanatory Reasoning

- Published in print:
- 2014
- Published Online:
- November 2014
- ISBN:
- 9780199604685
- eISBN:
- 9780191758928
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199604685.003.0010
- Subject:
- Philosophy, Metaphysics/Epistemology

Chapter 10 introduces the main idea of the account of the function of modal thinking defended in the book. Modal concepts originate in the practice of supporting claims about causal and other ... More

## Ptolemy and the Flowering of Greek Optics

*A. Mark Smith*

### in From Sight to Light: The Passage from Ancient to Modern Optics

- Published in print:
- 2014
- Published Online:
- May 2015
- ISBN:
- 9780226174761
- eISBN:
- 9780226174938
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226174938.003.0003
- Subject:
- History, History of Science, Technology, and Medicine

The main purpose of this chapter is to show how Ptolemy combined all three approaches discussed in the previous chapter in order to create a theory of sight that accounts broadly not only for visual ... More

## Finite Difference Methods

*S. G. Rajeev*

### in Fluid Mechanics: A Geometrical Point of View

- Published in print:
- 2018
- Published Online:
- October 2018
- ISBN:
- 9780198805021
- eISBN:
- 9780191843136
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198805021.003.0014
- Subject:
- Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

This chapter offers a peek at the vast literature on numerical methods for partial differential equations. The focus is on finite difference methods (FDM): approximating differential operators by ... More

## Qualitative Design and Data

*Michaël Tatham*

### in With, Without, or Against the State?: How European Regions Play the Brussels Game

- Published in print:
- 2016
- Published Online:
- August 2016
- ISBN:
- 9780198758624
- eISBN:
- 9780191818547
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198758624.003.0004
- Subject:
- Political Science, European Union

Chapter 4 describes the mix of qualitative comparative methods used to analyse the case study data. First, a diachronic, most similar systems’ design is outlined in the form of a quasi-experimental ... More

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