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B012487 - APPROXIMATION METHODS
Main information
Teaching Language
Course Content
Suggested readings
Learning Objectives
Prerequisites
Academic Year 2011-12
Coorte 2011 - Second Cycle Degree in COMPUTER SCIENCE
Course year
First year -
Belonging Department
Statistics, IT and its applications "G. Parenti" (DISIA)
Course Type
Single education field course
Scientific Area
MAT/08 - NUMERICAL ANALYSIS
Credits
6
Teaching Hours
48
Teaching Term
⇒
Attendance required
No
Type of Evaluation
Final Grade
Course Content
show
Lectureship
Mutuality
Course teached as:
B012965 - MODELLI NUMERICI PER LA SIMULAZIONE
Second Cycle Degree in MATEMATICA
Curriculum APPLICATIVO
B012965 - MODELLI NUMERICI PER LA SIMULAZIONE
Second Cycle Degree in MATEMATICA
Curriculum APPLICATIVO
Teaching Language
Italian
Course Content
Introductory results on difference equations. Difference equations and linear differential equation with costant coefficient. Stability of solutions. Some discrete models of economy. Multistep methods for differential equations. Stiff problem and regions of absolute method stability. Anlaysis of linear stability for continuous and discrete systems. Some models of population dynamics. Positive matrices. Nonlinear systems. Linearization. Perron-Frobenius theorem and its applications.
Suggested readings (Search our library's catalogue)
Professor’s lecture notes.
Learning Objectives
Knowledge acquired:
Basic numerical methods, linear algebra, functions of several variables.
Competence acquired:
Quantitative and qualitative treatment of models described by difference and linear ordinary differential equations. Matrix functions.
Skills acquired (at the end of the course):
Ability of simulating properly, on a computer, continuous and discrete dynamical systems.
Basic numerical methods, linear algebra, functions of several variables.
Competence acquired:
Quantitative and qualitative treatment of models described by difference and linear ordinary differential equations. Matrix functions.
Skills acquired (at the end of the course):
Ability of simulating properly, on a computer, continuous and discrete dynamical systems.
Prerequisites
Courses recommended: Mathematical Analysis I: Differential and Integral Calculus, Analysis II: Function with more than one variable, Linear Algebra, Numerical Calculus.