The application of a class of one-step methods to solve the initial value problem
The Application of Rosenbrock-Wanner Type Methods with Stepsize Control in Differential-Algebraic Equations.
The approximate Euler method for Lévy driven stochastic differential equations
The Approximation of Generalized Turning Points by Projection Methods with Superconvergence to the Critical Parameter.
The best argument for the parametric continuation of solutions of differential-algebraic equations.
The Convergence of Spline Collocation for Strongly Elliptic Equations on Curves.
The CUDA implementation of the method of lines for the curvature dependent flows
We study the use of a GPU for the numerical approximation of the curvature dependent flows of graphs - the mean-curvature flow and the Willmore flow. Both problems are often applied in image processing where fast solvers are required. We approximate these problems using the complementary finite volume method combined with the method of lines. We obtain a system of ordinary differential equations which we solve by the Runge-Kutta-Merson solver. It is a robust solver with an automatic choice of the...
The direct dynamical problem of seismics for horizontally stratified media.
The Drazin inverse in multibody system dynamics.
The elimination of quantities and the solving of systems of transcendent equations by means of differential equations
The extended Adomian decomposition method for fourth order boundary value problems.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part III. The Adaptive h-p Version.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part I. The Error Analysis of the p-Version.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part II. The Error Analysis of the h- and h-p Versions.
The Interaction Between instability and Local Truncation Error Estimate for Predictor - Corrector Methods
The intervals of stability of Runge-Kutta methods after Richardson extrapolation
The investigation of the transient regimes in the nonlinear systems by the generalized classical method.
The mesh chopping algorithm for singularly perturbed boundary value problem.
The Method of Iterated Defect-Correction and Its Application to Two-Point Boundary Value Problems. Part II.
The Method of Iterated Defect-Correction and its Application to Two-Point Boundary Value Problems. Part I.