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4 Simulating experimental data

Reinhard B. Neder and Thomas Proffen

in Diffuse Scattering and Defect Structure Simulations: A cook book using the program DISCUS

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199233694
eISBN:
9780191715563
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233694.003.0004
Subject:
Physics, Crystallography: Physics

In most cases, simulations of disordered materials are performed to understand experimental observations, in this case diffraction data. This chapter discusses the calculation of several experimental ... More


Parallel Scientific Computation: A Structured Approach using BSP and MPI

Rob H. Bisseling

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198529392
eISBN:
9780191712869
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529392.001.0001
Subject:
Mathematics, Applied Mathematics

This book explains the use of the bulk synchronous parallel (BSP) model and the BSPlib communication library in parallel algorithm design and parallel programming. The main topics treated in the book ... More


Dynamics of Viscous Compressible Fluids

Eduard Feireisl

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198528388
eISBN:
9780191713590
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528388.001.0001
Subject:
Mathematics, Applied Mathematics

The book presents and develops the most recent ideas and concepts of the mathematical theory of viscous, compressible, and heat conducting fluids. Two main objectives are pursued: (i) global ... More


Incommensurate Crystallography

Sander van Smaalen

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198570820
eISBN:
9780191718762
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570820.001.0001
Subject:
Physics, Crystallography: Physics

Aperiodic crystals are crystalline materials with atomic structures that lack translational symmetry. This book gives a comprehensive account of the superspace theory for the description of the ... More


Formal means

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0026
Subject:
Physics, Nuclear and Plasma Physics

This chapter elucidates various mathematical formulas. Based on expressions for Gaussian integrals in one and many dimensions, the methods of stationary phase and steepest descent are deduced, ... More


Crystals, X-rays and Proteins: Comprehensive Protein Crystallography

Dennis Sherwood and Jon Cooper

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199559046
eISBN:
9780191595028
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199559046.001.0001
Subject:
Physics, Crystallography: Physics

This book presents a complete account of the theory of the diffraction of X-rays by crystals with particular reference to the processes of determining the structures of protein molecules. The book ... More


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

Gary A. Glatzmaier

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691141725
eISBN:
9781400848904
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691141725.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This book provides readers with the skills they need to write computer codes that simulate convection, internal gravity waves, and magnetic field generation in the interiors and atmospheres of ... More


STRUCTURED MATRIX ANALYSIS

D. A. Bini, G. Latouche, and B. Meini

in Numerical Methods for Structured Markov Chains

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198527688
eISBN:
9780191713286
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527688.003.0002
Subject:
Mathematics, Numerical Analysis

This chapter describes structural and computational properties which are the basis of the design and analysis of fast algorithms for the numerical solution of structured Markov chains. Toeplitz ... More


Introduction to diffraction

Peter Main

in Crystal Structure Analysis: Principles and Practice

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199219469
eISBN:
9780191722516
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199219469.003.0001
Subject:
Physics, Crystallography: Physics

This introductory chapter provides information on some fundamental aspects of crystal structures and their diffraction of X-rays as a basis for the rest of the book. It describes electrons, atoms, ... More


Fourier–Mukai Transforms

D. Huybrechts

in Fourier-Mukai Transforms in Algebraic Geometry

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199296866
eISBN:
9780191711329
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296866.003.0005
Subject:
Mathematics, Geometry / Topology

This chapter introduces the central notion of a Fourier-Mukai transform between derived categories. It is the derived version of the notion of a correspondence, which has been studied for all kinds ... More


Historical Prelude

Roger D. Roger and Miles A. Whittington

in Cortical Oscillations in Health and Disease

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195342796
eISBN:
9780199776276
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195342796.003.0002
Subject:
Neuroscience, Molecular and Cellular Systems, Development

One of the pioneers in the mathematical and conceptual study of oscillations was Norbert Wiener, whose book Cybernetics first appeared in 1948. The authors review the type of data, experimental ... More


Linear Systems Analysis

Russell L. De Valois and Karen K. De Valois

in Spatial Vision

Published in print:
1991
Published Online:
January 2008
ISBN:
9780195066579
eISBN:
9780199872220
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195066579.003.0001
Subject:
Psychology, Cognitive Neuroscience

This chapter provides a background on linear systems analysis to allow the reader to follow the applications to visual problems discussed in this book. Specifically, it discusses the Fourier theorem ... More


Perception of Motion

Stephen Handel

in Perceptual Coherence: Hearing and seeing

Published in print:
2006
Published Online:
September 2007
ISBN:
9780195169645
eISBN:
9780199786732
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195169645.003.0005
Subject:
Psychology, Cognitive Psychology

Multiple stimulus dimensions and multiple perceptual processes affect the perception of motion and the dominant one is a function of the overall context. In apparent motion configurations, the first ... More


Linear Stability Analysis

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/9780691141725.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter describes a linear stability analysis (that is, solving for the critical Rayleigh number Ra and mode) that allows readers to check their linear codes against the analytic solution. For ... More


Postprocessing

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/9780691141725.003.0005
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter explains how to write a postprocessing code, and more specifically how to study the nonlinear simulations using computer graphics and analysis. It first considers how to compute and ... More


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


On the Early Work of William Thomson: Mathematical Physics and Methodology in the 1840s

I. Grattan-Guinness

in Kelvin: Life, Labours and Legacy

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199231256
eISBN:
9780191710803
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199231256.003.0003
Subject:
Mathematics, History of Mathematics

This chapter reviews the early works of William Thomson. Thomson began to publish exceptionally early, in 1841, while still in his late teens; and a steady stream of papers came from him thereafter. ... More


THE NONLINEAR RADON AND FOURIER TRANSFORMS

Leon Ehrenpreis

in The Universality of the Radon Transform

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198509783
eISBN:
9780191709166
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509783.003.0005
Subject:
Mathematics, Mathematical Physics

In order to deal with the nonlinear Radon transform, this chapter introduces a new type of Fourier transform: the nonlinear Fourier transform. This can be used to analyze various nonlinear Radon ... More


VARIATIONAL SOLUTIONS

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/9780198528388.003.0004
Subject:
Mathematics, Applied Mathematics

The concept of a variational solution to the full Navier-Stokes-Fourier system is introduced in this chapter. Each equation of the complete system, that means, the equation of continuity, the ... More


GLOBAL EXISTENCE

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/9780198528388.003.0007
Subject:
Mathematics, Applied Mathematics

This chapter contains a complete proof of the existence of global-in-time variational solutions for the full system of the Navier-Stokes equations of a viscous compressible and heat conducting fluid ... More


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