Now showing items 1-7 of 7

    • Numerical Approximation of the Weakly Damped Nonlinear Shrödinger Equation 

      Čiegis, Raimondas; Pakenienė, Violeta (Computational methods in applied mathematics, 2001)
      In this paper we consider the one-dimensional nonlinear Shrödinger equation. The equation includes an absorption term, and the solution is periodically amplified in order to compensate the lose of the energy. The problem ...
    • Numerical stability analysis of solutions of PDEs 

      Čiegis, Raimondas; Čiegis, Remigijus (Computational methods in applied mathematics, 2004)
      In this paper we investigate two iterative methods for solving one problem of nonlinear optics. The main goal is not only to find a stationary solution but also to investigate its stability. It is shown that both methods ...
    • On modeling and simulation of different regimes for liquid polymer moulding 

      Čiegis, Raimondas; Iliev, Oleg; Rief, Stefan; Steiner, Konrad (Computational methods in applied mathematics, 2004)
      In this paper we consider numerical algorithms for solving the system of nonlinear PDEs, arising in modeling of liquid polymer injection. We investigate the particular case where a porous preform is located within the ...
    • On parallel numerical algorithms for simulating industrial filtration problems 

      Čiegis, Raimondas; Iliev, O.; Lakdawala, Z. (Computational methods in applied mathematics, 2007)
      The performance of oil filters used in the automotive industry can be significantly improved, especially when computer simulation is an essential component of the design process. In this paper, we consider parallel numerical ...
    • On the parallel multiblock geometric multigrid algorithm 

      Čiegis, Raimondas; Gaspar, Francisko; Rodrigo, Carmen (Computational methods in applied mathematics, 2008)
      The application of a parallel multiblock geometric multigrid is considered. It is applied to solve a two-dimensional po-ro-elas-tic model. This system of PDEs is approximated by a special stabilized monotone finite-difference ...
    • Paralel predictor-corrector schemes for parabolic problems on graphs 

      Čiegis, Raimondas; Tumanova, Natalija (Computational methods in applied mathematics, 2010)
      We consider a predictor-corrector type finite difference scheme for solving one-dimensional parabolic problems. This algorithm decouples computations on different subdomains and thus can be efficiently implemented on ...
    • The finite difference scheme for 3d mathematical modeling of a wood drying process 

      Čiegis, Raimondas; Starikovičius, Vadimas (Computational methods in applied mathematics, 2001)
      This work discusses issues on the design and analysis of finite difference schemes for 3D modeling the process of moisture motion in the wood. A new finite difference scheme is proposed. The stability and convergence in ...