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Main current fields of interest:
- Numerical methods (theory, algorithms and computer programs)
- Mathematical computation
- Algorithms and Data Structures
- Evolutionary Computation and Genetic Algorithms
- Neural networks
- Artificial Intelligence
- Shape optimization
Publications
- Validity conditions for the quasi-steady-state approximation of an enzyme kinetics model with inhibition and substrate input, Ann. Acad. Rom. Sci. Ser. Math. Appl. (15)(1-2)(2023), 383-407 (with I. Stoleriu).
- On some local and nonlocal reaction-diffusion models with Robin boundary conditions, Discrete Cont. Dyn. Syst-S 16(1)(2023), 104-125.
- An artificial neural network approach for the dynamics of enzyme-catalysed reactions, An. St. Univ. “Al. I. Cuza” Iasi (N.S.) Mat. 66(2)(2020), 323-346 (with I. Stoleriu).
- Optimal Harvesting for size-dependentcontrol, Vietnam J. Math. (47)(2019), 881-895 (with S. Anița).
- Optimal harvesting for age-structured population dynamics with size-dependent control, Math. Control Relat. Fields, 9(4)(2019), 607-621 (with S. Anița).
- Global Eradication for Spatially Structured Populations by Regional Control, Discrete Cont. Dyn. Syst.-B, 24(6)(2019), 2511-2533 (with S. Anița and V. Capasso).
- Optimal harvesting of a spatially distributed renewable resource with endogenous pricing, Math. Model. Nat. Phenom. 14(1)(2019), 101 (with S. Anița, S. Behringer and T. Upmann).
- Some Regional Control Problems for Population Dynamics, Control Systems and Mathematical Methods in Economics, Lecture Notes in Economics and Mathematical Systems 687(2018), 419-439 (with L.-I. Anița, S. Anița and V. Capasso).
- Regional control in optimal harvesting of population dynamics, Nonlinear Anal. Theory Methods. App. 147(2016), 191-212 (with S. Anița and V. Capasso).
- Optimizing the position of the support of the control for some optimal harvesting problems, Ann. Acad. Rom. Sci. Ser. Math. Appl. 7(1)(2015), 27-40.
- Optimal control and stabilization for some Fisher-like models, Numer. Funct. Anal. Optim. 36(5)(2015), 567-589 (with V. Arnăutu).
- On the numerical approximation of the phase-field system with non-homogeneous Cauchy-Neumann boundary conditions. Case 1D, ROMAI J. 9(1)(2013), 91-110 (with C. Moroşanu).
- Numerical locking problems for parabolic equations, Numer. Funct. Anal. Optim., 32(9)(2011), 927-945 (with V. Arnăutu).
- Numerical applications for insulin treatment models, An. St. Univ. “Al. I. Cuza” Iasi (N.S.) Mat. 57(1)(2011), 43-55 (with V. Arnăutu).
- Numerical locking problems for hyperbolic equations, Numer. Funct. Anal. Optim., 31(5)(2010), 549-568 (with V. Arnăutu).
- Numerical approximation of Black-Scholes equation, An. St. Univ. “Al. I. Cuza” Iasi (N.S.) Mat. 56(1)(2010), 39-64 (with G. Dura).
Research Projects (member)
- Research Center with Integrated Techniques for Atmospheric Aerosol Investigation in Romania, RECENT AIR, Laboratory of astronomy and astrophysics (2023-present)
- Contract 13532/16.07.2019: Attribute definition and microscopic traffic model validation predominantly with PTV Vissim and AAI (with Continental AG)
- CNCS - UEFISCDI 68/02.09.2013, PN-II-ID-PCE-2012-4-0270: Optimal Control and Stabilization of Nonlinear Parabolic Systems with State Constraints. Applications in Life Sciences and Economics, project manager: prof. dr. S. Anița.
- ID_395/2007 (-2010), Differential systems with random perturbations; control and viability problems, project manager: prof. dr. A. Răşcanu.
- Parteneriate tip PC 81-024, Elaborarea, implementarea si validarea experimentala, pe un model functional original de camera de ardere, a unui algoritm de calcul numeric pentru simularea curgerilor turbulente reactive complexe, project manager: conf. dr. Costica Moroşanu.
- CEEX 05-D11-84, Studii privind evolutia frontului de solidificare utilizand modelul tranzitiei de faza. Eficientizarea proceselor de turnare continua a otelurilor, project manager: conf. dr. Costica Moroşanu.
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