DICACIM programme A.Y. 2019–20 Numerical Methods for Partial Differential Equations Lesson 7. Approximation of Parabolic problems Paola Gervasio

6 Higher Order Multi-step Iterative Method for Computing the Numerical Solution of Systems of Nonlinear Equations: Application to Nonlinear PDEs and ODEs 82 6.1

Here, we give an example where the dynamics is discontinuous and the Cauchy problem has no solution at all. Hence we have, at least, one local solution.. Note that every solution

SCRIVERE, in modo incontrovertibile, la risposta nello spazio lasciato dopo ogni quesito; in caso di correzione, barrare la risposta errata e scrivere accanto la nuova risposta2.

On the other hand, it is well known that Lie group theory provides a general, algorithmic and efficient method for obtaining exact solution of partial differential equations by

Elliptic problems: strong and weak forms Elements of functional analysis..

DICATAM, Universit` a degli Studi di Brescia (Italy). uniBS,

DICATAM, Universit` a degli Studi di Brescia (Italy).. 11 Paola Gervasio - DICATAM

Numerical solution of Advection Diffusion Reaction problems.