Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

DeepDyve requires Javascript to function. Please enable Javascript on your browser to continue.

Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems

Part of the Nonlinear Systems and Complexity Book Series (volume 4)

DOI: 10.1007/978-1-4614-5912-5

ISBN: 978-1-4614-5911-8

Publisher: Springer New York - Springer Journals

Oct 29, 2012

LitStream

Chapter 1Elements of Newtonian Mechanics

Vázquez, Luis; Jiménez, Salvador

Pages: 1 –13

[Within the framework of Newtonian Mechanics, the dynamics of the motion of a single particle is related to the following properties: (1) the existence of either conservation or variation laws for some quantities according to certain relations, (2) the existence of symmetries and (3) the...
LitStream

Chapter 2Solution of Systems of Linear Equations

Vázquez, Luis; Jiménez, Salvador

Pages: 15 –28

[Solving systems of linear equations (or linear systems or, also, simultaneous equations) is a common situation in many scientific and technological problems. Many methods, either analytical or numerical, have been developed to solve them. A general method most used in Linear Algebra is the...
LitStream

Chapter 3Solution of Systems of Linear Equations: Numerical Simulations

Vázquez, Luis; Jiménez, Salvador

Pages: 29 –41

[To check the usefulness of this method, we shall compare it with the simplest and well known iterative methods: Jacobi, Gauss-Seidel, and Steepest Descent [11, 14]. We shall do this through some examples but, first, let us recall how this other methods work.]
LitStream

Chapter 4Eigenvalue Problems

Vázquez, Luis; Jiménez, Salvador

Pages: 43 –65

[Eigenvalue problems are at the base of many scientific and technological issues. They appear at the root of stability problems, differential equations, either ordinary or partial, Mechanics of continuous media, etc.]
LitStream

Chapter 5Eigenvalue Problems: Numerical Simulations

Vázquez, Luis; Jiménez, Salvador

Pages: 67 –98

[In this chapter a numerical scheme is proposed to simulate the evolution of the solution\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}...
LitStream

Chapter 6Linear Programming

Vázquez, Luis; Jiménez, Salvador

Pages: 99 –115

[We may consider the pinball machine as a mechanical device to visualize the minimization of the potential energy of a ball moving in a bounded inclined plane. The potential energy, in this case, is a linear function of the space coordinates. On the other hand, the boundaries of the inclined...
LitStream

Chapter 7Quadratic Programming

Vázquez, Luis; Jiménez, Salvador

Pages: 117 –133

[In Chap. 6, we associated the minimization of a linear functional with linear constraints to the motion of a Newtonian particle in a constant gravitational field in a bounded region with the frontier made of straight segments. Now, we can extend this mechanical picture to visualize the...

results per page

Prev
1
Next

Browse All eBooks