Numerical Methods for Nonlinear Diferential Equations and Applications to Physics

<p><i><a href="http://www.math.ist.utl.pt/~numerica/seminar.html"> Short-Course</a> on<br /> Numerical Methods for Nonlinear Diferential Equations and Applications to Physics</i></p> <p>1. Numerical Solution of Boundary Value Problems For Nonlinear Ordinary Differential Equations on a Finite Interval<br /> 1.1 Linearization method.<br /> 1.2 Shooting method.<br /> 1.3 Difference pass and differential pass methods.</p> <p>2. Numerical Solution of Boundary Value Problems for Nonlinear Ordinary Differential Equations on an Infinite Interval<br /> 2.1 Example related to electrodynamics: a singular problem for a second-order nonlinear ordinary differential equation.<br /> 2.2 Example related to hydrodynamics: a singular problem for a third-order nonlinear ordinary differential equation.</p> <p>3. Numerical Solution of Boundary Value Problems for Systems of Nonlinear Ordinary Differential Equations on a Finite Interval<br /> 3.1 Reduction method applied to Cauchy problems.<br /> 3.2 Linearization method.<br /> 3.3 Conjugate operator method.</p> <p>4. Numerical Solution of Boundary Value Problems for Systems of Nonlinear Ordinary Differential Equations on an Infinite Interval<br /> 4.1 Example related to hydrodynamics: a flow near a rotating disk of an infinite radius.<br /> 4.2 Example related to hydrodynamics: a flow near an immovable infinite base due to a fluid rotation far from the wall (without and in the presence of a magnetic field).<br /> </p>