Jump to ContentJump to Main Navigation

You are looking at 1-10 of 10 items

  • Keywords: calculus of variations x
Clear All Modify Search

View:

Gamma-Convergence for Beginners

Andrea Braides

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198507840
eISBN:
9780191709890
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507840.001.0001
Subject:
Mathematics, Applied Mathematics

This book introduces the main concepts of the theory of De Giorgi's Gamma-convergence and gives a description of its main applications to the study of asymptotic variational problems. The content is ... More


The Calculus of Variations

Oliver Johns

in Analytical Mechanics for Relativity and Quantum Mechanics

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567264
eISBN:
9780191717987
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567264.003.0005
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter introduces the calculus of variations in the context of the finite-dimensional configuration space discussed previously. The calculus of variations is concerned with the comparison of ... More


NON-PARAMETRIC IMAGE REGISTRATION

Jan Modersitzki

in Numerical Methods for Image Registration

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198528418
eISBN:
9780191713583
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528418.003.0008
Subject:
Mathematics, Applied Mathematics

This chapter introduces non-parametric registrations. The idea behind this type of registration is to come up with an appropriate measure both for the similarity as well as for the likelihood of a ... More


The Calculus of Variations

Oliver Davis Johns

in Analytical Mechanics for Relativity and Quantum Mechanics

Published in print:
2011
Published Online:
December 2013
ISBN:
9780191001628
eISBN:
9780191775161
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780191001628.003.0005
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter introduces the calculus of variations in the context of finite-dimensional configuration spaces. Mastery of this relatively simple form of the theory will provide the background required ... More


ELASTIC REGISTRATION

Jan Modersitzki

in Numerical Methods for Image Registration

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198528418
eISBN:
9780191713583
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528418.003.0009
Subject:
Mathematics, Applied Mathematics

This chapter introduces elastic registration using the general framework introduced in Chapter 8. A physical motivation for this particular regularizer is given. The two images are viewed as two ... More


Coming to Everyman

Steven J. Osterlind

in The Error of Truth: How History and Mathematics Came Together to Form Our Character and Shape Our Worldview

Published in print:
2019
Published Online:
January 2019
ISBN:
9780198831600
eISBN:
9780191869532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198831600.003.0008
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter focuses on how quantification began to increase in the everyday life of ordinary people, who are represented in this chapter by the allegorical figure “Everyman” (from the ... More


Principles of minimum potential energy and complementary energy

Lallit Anand and Sanjay Govindjee

in Continuum Mechanics of Solids

Published in print:
2020
Published Online:
September 2020
ISBN:
9780198864721
eISBN:
9780191896767
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198864721.003.0012
Subject:
Physics, Condensed Matter Physics / Materials

With the displacement field taken as the only fundamental unknown field in a mixed-boundary-value problem for linear elastostatics, the principle of minimum potential energy asserts that a potential ... More


Mathematics and physics preliminaries: of hills and plains and other things

Jennifer Coopersmith

in The Lazy Universe: An Introduction to the Principle of Least Action

Published in print:
2017
Published Online:
June 2017
ISBN:
9780198743040
eISBN:
9780191802966
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198743040.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, History of Physics

The link between mathematics and physics is explained, and how the concepts “coordinates,” “generalized coordinates,” “time,” and “space” have evolved, starting with Galileo. It is also shown that ... More


Differential Equations

Peter Mann

in Lagrangian and Hamiltonian Dynamics

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198822370
eISBN:
9780191861253
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198822370.003.0035
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents the general formulation of the calculus of variations as applied to mechanics, relativity and field theories. The calculus of variations is a common mathematical technique used ... More


Absolute time

George Jaroszkiewicz

in Images of Time: Mind, Science, Reality

Published in print:
2016
Published Online:
January 2016
ISBN:
9780198718062
eISBN:
9780191787553
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198718062.003.0014
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter discusses Newton’s concept of absolute time and its use in classical mechanics. It defines clocks and our freedom to change them, that is, reparametrization of time. The chapter goes on ... More


View: