Research Domains

Numerical Analysis

Inverse interpolation method (Pavaloiu)

The methods with optimal convergence order within the class of iteration methods (Pavaloiu)

The efficiency of numerical calculus and the iteration methods with optimal efficiency index (Pavaloiu)

The monotony of the approximating sequences for the solutions of equations (Pavaloiu)

Approximation by linear and positive operators (Mustata, Craciun)

Spline functions and applications (Mustata)

Approximation of solutions of boundary problems for differential equations (Mustata)

Iterative methods (Newton, Newton-Krylov, Newton-type) for numerical solving of nonlinear systems of equations in Rⁿ (Catinas, Pavaloiu)

Krylov methods for numerical solving of large linear systems in Rⁿ (Catinas)

Iterative methods (Newton, Chebyshev, Steffensen, etc) for numerical solving eigenproblems (Catinas, Pavaloiu)

Finite elements method (Gheorghiu)

Methods for accelerating the convergence of sequences (Catinas)

Approximation Theory

Methods of functions approximations (Pavaloiu)

Approximation and best approximation in function spaces and abstract spaces (Mustata)

Theorems of extension and relationship with problems of best approximation (Mustata)

Existence and study of properties for selections associated to metric projections (Mustata)

Fixed Point Theory (Soltuz, Otrocol)

Nonlinear Functional Analysis

Iterative methods for solving nonlinear equations in Banach spaces (Pavaloiu, Catinas)

The stability of the numerical methods for solving equations and the error evaluation (Pavaloiu)

M-ideals in metric spaces (Mustata)

Fixed point theory, linear and nonlinear operators (Anisiu)

Fixed point theory (local convergence) (Catinas)

Dynamical Systems Theory

The inverse and direct problem of Dynamics in Celestial Mechanics (Anisiu)

Combinatorics: complexity of finite and infinite words (Anisiu)

Numerical analysis of dynamical systems (Gheorghiu)

Measurable dynamical systems and stochastic processes in thermodynamics (Suciu)

Mathematical Modeling

Mathematical modeling of some physico-chemical hydrodynamical phenomena (Gheorghiu)

Stochastic modeling of the dynamics of financial markets (Suciu)

Mathematical modeling in hydrology (Suciu, Vamos)

Mathematical modeling in terrestrial dynamics (Vamos, Suciu)

Mathematical modeling in speology (Suciu)

Numerical Simulations

Numerical modeling of the diffusion with application in finance, technological processes and transport in porous materials (Suciu, Vamos)

Numerical modeling of metals and alloys casting (Vamos)

Meteorological numerical models (Vamos)

Other Domains of Research

Mechanics (Pavaloiu)

Computer science (Pavaloiu)

Numerical methods in medicine (Pavaloiu)

Computer graphics (Catinas)

Umbral calculus (Craciun)

Time series theory and quantitative finance (Vamos, Craciun, Soltuz)

Nonequilibrium statistical mechanics (Vamos, Suciu)

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