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Numerical Methods for Delay Differential Equations

Alfredo Bellen and Marino Zennaro

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506546
eISBN:
9780191709609
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506546.001.0001
Subject:
Mathematics, Numerical Analysis

The main purpose of the book is to introduce the numerical integration of the Cauchy problem for delay differential equations (DDEs) and of the neutral type. Comparisons between DDEs and ordinary ... More


Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type

Juan Luis Vázquez

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199202973
eISBN:
9780191707919
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199202973.001.0001
Subject:
Mathematics, Applied Mathematics

This book is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as ... More


Existence and Regularity of Solutions of 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/9780198506546.003.0002
Subject:
Mathematics, Numerical Analysis

This chapter discusses the regularity of the solutions of DDEs by analysing how the discontinuities — caused by different types of delays — propagate along the solutions, and the impact this lack of ... More


Delayed Prosecution for Childhood Sexual Abuse

Penney Lewis

Published in print:
2006
Published Online:
January 2009
ISBN:
9780199282289
eISBN:
9780191705441
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199282289.001.0001
Subject:
Law, Criminal Law and Criminology

That childhood sexual abuse (CSA) is one of society's most pressing concerns is not in doubt. Not only is serious harm, both mental and physical, frequently caused to the victim, but families and ... More


Stability Analysis of 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/9780198506546.003.0009
Subject:
Mathematics, Numerical Analysis

This chapter provides some definitions and results on the contractivity, boundedness, and asymptotic stability of test equations chosen from suitable classes of DDEs and neutral DDEs, which are ... More


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/9780198506546.003.0006
Subject:
Mathematics, Numerical Analysis

This chapter specializes the standard approach presented in Chapter 4, based on the class of continuous Runge-Kutta methods reviewed in Chapter 5. The various cases of DDEs and neutral DDEs along the ... More


Introduction

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/9780195342796.003.0001
Subject:
Neuroscience, Molecular and Cellular Systems, Development

In a previous monograph, the authors described an experimental model of the 40 Hz oscillations produced in vivo by visual stimulation. The model involved tetanic stimulation of one or two sites in a ... More


6 Experimental observation of GW emission in compact binaries

Michele Maggiore

in Gravitational Waves: Volume 1: Theory and Experiments

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198570745
eISBN:
9780191717666
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570745.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter discusses the experimental evidence for the existence of GWs, which was first obtained from the Hulse-Taylor binary pulsar, PSR B1913+16, and which is now further confirmed by ... More


Embryology in Babylonia and the Bible

Marten Stol

in Imagining the Fetus: The Unborn in Myth, Religion, and Culture

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195380040
eISBN:
9780199869077
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195380040.003.0009
Subject:
Religion, Religion and Society, World Religions

This essay is a historical and philological investigation of reproduction as it was understood in ancient Near East societies. It explores the differences in embryology as conceived by various ... More


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


Introduction

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/9780198506546.003.0001
Subject:
Mathematics, Numerical Analysis

This chapter introduces the classes of DDEs and neutral DDEs treated in the book, focusing on some of the most significant qualitative differences between delay equations and ordinary equations, as ... More


Improved analysis of the critical line. Delayed regularity

Juan Luis Vázquez

in Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199202973
eISBN:
9780191707919
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199202973.003.0007
Subject:
Mathematics, Applied Mathematics

This chapter continues the analysis of the functional properties of the evolution semigroup generated by the FDE on the critical line, i.e., when m < mc and p assumes the ... More


 Exploring the Roles of the Frontal, Temporal, and Parietal Lobes in Visual Categorization

David J. Freedman

in Neuroscience of Rule-Guided Behavior

Published in print:
2007
Published Online:
September 2007
ISBN:
9780195314274
eISBN:
9780199786695
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195314274.003.0021
Subject:
Psychology, Cognitive Neuroscience

How does the brain recognize the meaning of sensory stimuli? Through experience with the world, individuals easily learn to group stimuli into meaningful categories, such as “chair,” “table,” and ... More


Terry Riley's Life and Art before In C

Robert Carl

in Terry Riley's in C

Published in print:
2009
Published Online:
September 2009
ISBN:
9780195325287
eISBN:
9780199869428
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195325287.003.0002
Subject:
Music, Popular, History, American

This chapter traces Riley's life up to the premiere of In C: his early musical experiences in Northern California, and his life as a student in the Bay Area. In addition to studying contemporary ... More


Working Memory Capacity: Self-control Is (in) the Goal

James M. Broadway, Thomas S. Redick, and Randall W. Engle

in Self Control in Society, Mind, and Brain

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195391381
eISBN:
9780199776894
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195391381.003.0009
Subject:
Psychology, Cognitive Neuroscience, Social Psychology

Self-control is defined in relation to current goals of an organism. Working memory capacity (WMC) is defined as a cognitive system for maintaining access to goal representations as needed. ... More


Perish the Forethought: Premeditation Engenders Misperceptions of Personal Control

Carey K. Morewedge, Kurt Gray, and Daniel M. Wegner

in Self Control in Society, Mind, and Brain

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195391381
eISBN:
9780199776894
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195391381.003.0014
Subject:
Psychology, Cognitive Neuroscience, Social Psychology

People are normally encouraged to engage in premeditation—to think about the potential consequences of their behavior before acting. Indeed, planning, considering, and studying can be important ... More


The Power of Planning: Self-Control by Effective Goal-striving

Peter M. Gollwitzer, Caterina Gawrilow, and Gabriele Oettingen

in Self Control in Society, Mind, and Brain

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195391381
eISBN:
9780199776894
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195391381.003.0015
Subject:
Psychology, Cognitive Neuroscience, Social Psychology

As highlighted by Kurt Lewin, goal attainment is not yet secured solely by forming strong commitments to highly desirable and feasible goals. There is always the subsequent issue of implementing a ... More


Getting Our Act Together: Toward a General Model of Self-Control

Eran Magen and James J. Gross

in Self Control in Society, Mind, and Brain

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195391381
eISBN:
9780199776894
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195391381.003.0018
Subject:
Psychology, Cognitive Neuroscience, Social Psychology

Research on self-control has enjoyed tremendous growth over the past few decades, as researchers from a variety of disciplines have tested different self-control techniques in different domains of ... More


Seeing the Big Picture: A Construal Level Analysis of Self-Control

Kentaro Fujita, Yaacov Trope, and Nira Liberman

in Self Control in Society, Mind, and Brain

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195391381
eISBN:
9780199776894
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195391381.003.0022
Subject:
Psychology, Cognitive Neuroscience, Social Psychology

People frequently make decisions and act in a manner contrary to their goals and values. These self-control failures are widely prevalent, troubling, and implicated in some of the most pressing ... More


Teleological Behaviorism and the Problem of Self-Control

Howard Rachlin

in Self Control in Society, Mind, and Brain

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195391381
eISBN:
9780199776894
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195391381.003.0027
Subject:
Psychology, Cognitive Neuroscience, Social Psychology

Problems of self-control as well as social cooperation may be seen as conflicts not between internal spiritual or neurological entities, but between highly valued overt behavioral patterns of ... More


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