3 papers
math.NA2024
On the construction of a family of well-posed approximate formulations for the stationary Stokes problem using an extended system
Cătălin Liviu Bichir
We introduce an exact parameterized extended system such that, under adequate data, between the components of its solution, there is the solution of the weak formulation of the hom…
math.NA2024
On the existence of approximate problems that preserve the type of a bifurcation point of a nonlinear problem. Application to the stationary Navier-Stokes equations
Cătălin Liviu Bichir
We consider a nonlinear problem on infinite-dimensional Banach spaces that correspond to the steady-state bifurcation case. In the literature, it is found again a bifurc…
math.NA2011
Limit cycles by FEM for a one-parameter dynamical system associated to the Luo-Rudy I model
Cătălin Liviu Bichir, Adelina Georgescu, Bogdan Amuzescu +5
An one-parameter dynamical system is associated to the mathematical problem governing the membrane excitability of a ventricular cardiomyocyte, according to the Luo-Rudy I model. L…