**Adrian
VIOREL**

adrian.viorel“at”math.ubbcluj.ro

**Teaching:**

2020/21

WS: PDEs for Math and Computer Science

SS:
Numerik für Informatiker (mehr dazu in __MS
Teams__)

Dynamical
Systems for Computer Science/Labs (__Course
Webpage__)

**Research
interests:**

Nonlinear evolutionary equations (PDEs) | Dissipative systems (and their relevance to Optimization) | Metastability

**Publications:**

*Asymptotic
analysis of a structure-preserving integrator for damped Hamiltonian
systems*,
Discrete Contin. Dyn. Syst. A (with C. D. Alecsa and T. O. Pința)

*Nonlinear
economic growth dynamics in the context of a military arms race*,
Mathematica (with D. Metz)

*A
gradient-type algorithm with backward inertial steps associated to a
nonconvex minimization problem*,
Numer. Algorithms (with C. D. Alecsa and László S. C.)

*Approximate
solutions of the logistic equation and Ulam stability*,
Appl. Math. Lett. (with D. Popa and I. Rașa)

*Nonlocal
Cauchy problems close to an asymptotically stable equilibrium point*,
J. Math. Analysis Appl.

*Generalized
monotone operators on dense sets*,
Numer. Funct. Anal. Optim. (with László S. C.)

*Densely
defined equilibrium problems*,
J. Optim. Theory Appl. (with László S. C.)

*A
low-order approximation for viscous-capillary phase transition
dynamics*,
Port. Math. (with P. Engel and C. Rohde)

*Existence
results for systems of nonlinear evolution inclusions*,
Fixed Point Theory (with R. Precup)

*Existence
results for systems of nonlinear evolution equations*,
Int. J. Pure Appl. Math. (with R. Precup)