Explore the programs and courses offered by Nonlinear analysis and PDE
Browse Programs Admission InformationSemester 01:
v Functional analysis method
v Optimization
v Statistics
v Complex analysis methods
v Teaching and research techniques
v English
Semester 02:
v PDEs and numerical analysis of PDEs
v Continuum mechanics
v Modeling
v Stochastic modeling
v Teaching and research techniques
Semester 03:
v Methods for solving nonlinear boundary problems
v Non-linear evolution problems
v Semi-group theory and applications to PDEs
v Control for non-linear problems
v Teaching and research techniques
v Technical English
Semester 04:
v Internship in a research laboratory or company, culminating in a thesis and defense.
· Study of functional spaces, Banach’s theorem, linear operators, convergence in Banach spaces.
· Introduction to linear and nonlinear PDEs, method of separation of variables, fundamental solutions of PDEs.
· Numerical methods for solving PDEs, approximation errors, finite difference and finite element methods.
· Foundations of probability, random variables, estimation, confidence intervals, hypothesis testing.
· Introduction to scientific research, structuring a research project, writing a thesis or dissertation.
· Study of nonlinear equations, fixed-point theorems, bifurcation and stability theories.
· Functional tools for the analysis of parabolic and hyperbolic problems.
· Galerkin methods, finite element methods, implicit/explicit schemes for nonlinear PDEs.
· Stochastic processes, stochastic differential equations, numerical simulations.
· Optimal control theory, controllability, constrained problems.
· Evolution equations, weak and strong solutions, long-term behavior.
The current application of Articles 171 and 1023 of Decrees:
v Skills and knowledge acquisition are assessed every six months through continuous assessment and a final exam.
v Progress from the first to the second year is automatic if the student has completed the first two semesters of the training program.
v The student's assessment focuses on, depending on the training program: lectures, practical work, tutorials, and practical internships.