# Calculus of Variations and Applications

@inproceedings{CalculusOV, title={Calculus of Variations and Applications}, author={} }

1 This chapter is a little more " classic " than the others. It introduces calculus of variations , an elegant field not often covered in modern math curricula. A knowledge of multivariable calculus will suffice, but it helps to also have a familiarity with differential equations. This chapter covers more material than can be covered in a week of classes. If you want to dedicate only a week of time to this chapter, you could start by motivating the material with a few examples that require…

## Figures from this paper

## 5 Citations

### Varijacijski račun i primjene

- Mathematics
- 2015

In this paper, we will shortly be introduced to the basics of Calculus
of Variations. We will deal with problem of nding a local minima of certain functional in a way to seek the necessary and…

### Estimation of Vector Fields in Unconstrained and Inequality Constrained Variational Problems for Segmentation and Registration

- Computer ScienceJournal of Mathematical Imaging and Vision
- 2008

This paper develops coupled partial differential equations (PDEs) to estimate vector fields that define the deformation between objects, and the contour or surface that defines the segmentation of the objects as well.

### Modeling of High-Speed Penetration Into Concrete Shields and Shape Optimization of Impactors #

- Engineering
- 2006

Abstract We modified the model of Forrestal and Tzou (1997) for a case of an arbitrary impactor having a shape of a body of revolution with a plane bluntness and derived a formula for the depth of…

### Finite Element Formulation of Forced Vibration Problem of a Prestretched Plate Resting on a Rigid Foundation

- Engineering, MathematicsJ. Appl. Math.
- 2007

The three-dimensional linearized theory of elastodynamics mathematical formulation of the forced vibration of a prestretched plate resting on a rigid half-plane is given. The variational formulation…

### Lattice Boltzmann simulation of droplet base electrowetting

- Physics
- 2010

In this article, the lattice Boltzmann method has been extended for modelling and simulation of electrowetting operations. Spreading, motion, and splitting of a microsized fluid droplet on a flat…

## References

SHOWING 1-8 OF 8 REFERENCES

### A Branch of Mathematics. (Book Reviews: A History of the Calculus of Variations from the 17th through the 19th Century)

- History
- 1980

The calculus of variations is a subject whose beginning can be precisely dated. It might be said to begin at the moment that Euler coined the name calculus of variations but this is, of course, not…

### Lectures On The Calculus Of Variations

- Education
- 2016

The lectures on the calculus of variations is universally compatible with any devices to read, and is available in the digital library an online access to it is set as public so you can get it instantly.

### Calculus of Variations: with Applications to Physics and Engineering

- Physics
- 1952

This is likewise one of the factors by obtaining the soft documents of this calculus of variations with applications to physics and engineering by online. You might not require more become old to…

### The Best of All Possible Worlds: Mathematics and Destiny

- Philosophy
- 2006

Optimists believe this is the best of all possible worlds. And pessimists fear that might really be the case. But what "is" the best of all possible worlds? How do we define it? Is it the world that…

### Mathematical Methods of Classical Mechanics

- Physics
- 1974

Part 1 Newtonian mechanics: experimental facts investigation of the equations of motion. Part 2 Lagrangian mechanics: variational principles Lagrangian mechanics on manifolds oscillations rigid…

### Liquid mirror telescopes : history

- Physics
- 1991

A history of Liquid Mirror Telescope (LMT) experimentation is provided. The concept can be traced to Ernesto Capocci of the Naples Observatory (1850), but it was not until 1872 that Henry Skey of the…