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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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