Partially supported by Progetto Nazionale di Ricerca MURST “Analisi numerica: metodi e software scientifico”. Copyright © IMACS. Published by Elsevier. COMINCIOLI, V. (). A comparison of algorithms for some free boundary problems, Pubblicazioni N. 79, Laboratorio di Analisi Numerica, Universita di Pavia. (contains: Luigi Luca Cavalli-Sforza, ‘Il Centro di Calcoli Numerici di Numerici’, ; Valeriano Comincioli, ‘Centro di Calcolo e analisi numerica’, ;.
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Analisi numerica. Metodi, modelli, applicazioni – Valeriano Comincioli – Google Books
Laurea Triennale in Matematica. Cerca nel sito solo nella sezione corrente. The knowledge provided by this course regards numerical solution of nonlinear systems, numerical methods for derivation and integration, methods for the solution of differential equation systems with initial and boundary conditions. It is assumed that the student clmincioli the basic knowledge for using Matlab.
Course programme 48 hours are scheduled, divided in theory about the numerical methods and in numerical simulation in I. Laboratory; these simulations are based on the implementation of the methods studied in class; the analysis regarding efficiency and effectiveness will be performed.
Nonlinear systems fixed point method, local and global convergence, Newton and quasi-Newton methods, method globalization, inexact method ; 10 hours.
Numerical derivation formulae Richardson’s estrapolation technique ; stability.
Interpolating formulae Newton-Cotes ; Polya’s convergence theorem; composite quadrature formulas and convergence: Romberg’s methods and adaptive methods.
Mention on multiple integration 15 hours.
Introduction on the Cauchy problems: Multistep methods linear, explicit, implicit, predictor corrector methods: Absolute stability and stiffness. Shootingcollocation and finite difference methods cominciolu hours Didactic methods Lectures on all the topics previously stated are scheduled.
During the lessons the theoretical discussion is supported by exercises in I.
Several exercises will be assigned during the course: Learning assessment procedures The aim of the final exam consists in verifying the level anallisi knowledge of the formative objectives previously stated. The final exam consists in an oral test, dedicated to verify the knowledge of the methods explained during the course and to discuss the results obtained in the individual assigned exercise.
This discussion allows understand the level of knowledge comoncioli skills acquired by the students on the methods learned. The oral test is successfully passed if a score of almost 18 is achieved.
Numerical Analysis, second edition, Addison Wesley ; V. Analisi numerica II – avvisi del docente.
Via Machiavelli, 30 – Ferrara Guarda la mappa.