Polynomial stability of operator semigroups

Operátorfélcsoportok Polinomiális Stabilitása (In Hungarian)

Bifurcations in non-adiabatic flame propagation models

Error analysis of the numerical solution of split differential equations

Consistency analysis of operator splitting methods for C₀-semigroups

Zero splitting error and pairwise commutativity

A review of reliable numerical models for three-dimensional linear parabolic problems

Discrete maximum principle and adequate discretizations of linear parabolic problems

Superlinearly convergent PCG algorithms for some nonsymmetric elliptic systems

Superlinear PCG algorithms: symmetric part preconditioning and boundary conditions

On the superlinear convergence rate of the preconditioned CGM for some nonsymmetric elliptic problems

A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems

Stochastic cellular automata modeling of excitable systems

On Superlinear PCG Methods for FDM Discretizations of Convection-Diffusion Equations

Sobolev gradients: a nonlinear equivalent operator theory in preconditioned numerical methods for elliptic PDEs

A convergent time discretization scheme for nonlinear parabolic transport systems

Equivalent operator preconditioning for linear elliptic problems

On the Lipschitz continuity of derivatives for some scalar nonlinearities

Error Analysis of a Continuous-Discontinuous Galerkin Finite Element Method for Generalized 2D Vorticity Dynamics

Variational and semigroup methods for waves and diffusion in networks

Mesh independent superlinear convergence of an inner-outer iterative method for semilinear elliptic interface problems

Adaptive finite element techniques for the Maxwell equations using implicit a posteriori error estimates

Implicit a posteriori error estimates for the Maxwell equations

Vertex control of flows in networks

Discrete maximum principles for FEM solutions of nonlinear elliptic systems

A discrete maximum principle for nonlinear elliptic systems with interface conditions

Discrete maximum principles for nonlinear parabolic PDE systems

Asymptotic periodicity of recurrent flows in infinite networks

Characterizing mesh independent quadratic convergence of Newton's method for a class of elliptic problems

Entering the superlinear phase of the CG method

Numerical functional analysis (in Hungarian)

Optimal penalty parameters for symmetric discontinuous Galerkin discretizations of the time-harmonic Maxwell equations

Maximal controllability for boundary control problems

On singular systems of parabolic functional equa- tions

On nonlinear functional parabolic equations with state-dependent delay

Operator splitting for non-autonomous evolution equations

Operator splitting and spatial approximations for evolution equations

Implicit a posteriori error estimation using patch recovery techniques

Heterogeneous conductivity parameters in a one dimensional fuel cell model

Models of Liesegang pattern formation

Transition of Liesegang precipitation systems: simulations with an adaptive grid PDE method

Operator preconditioning with efficient applications for nonlinear elliptic problems