ALGORITMY (Algorithms) represents the oldest Central-European series of international high level scientific meetings devoted to applied mathematics and numerical methods in computational sciences and engineering. It has been traditionally organized in the High Tatra Mountains, Slovakia (see e.g. ALGORITMY 2005, ALGORITMY 2002) by the Slovak University of Technology in Bratislava in cooperation with Comenius University in Bratislava and Slovak and Czech Academy of Sciences.

Following this old tradition, the 18th ALGORITMY conference will be devoted to computational methods, their analysis, algorithmic realization and application to real-world problems arising from, but not restricted to, natural sciences, engineering, technology, medicine and finance.

The main topics of the ALGORITMY 2009 conference are:

 * computational fluid dynamics, heat transfer and porous media flow
 * nonlinear conservations laws
 * free boundary problems
 * inverse problems
 * image processing and computer vision
 * computer graphics and computational geometry
 * computational finance
 * computational biology and medicine
 * computational geosciences
 * high-scale and parallel computing
 * direct and iterative methods for large linear algebraic systems
 * preconditioning techniques
 * optimization and nonlinear algebraic problems
 * scientific visualization
 * software for scientific computations.
In solving the above mentioned real-world problems, the main attention is given to a new development and advanced applications of modern numerical methods as finite element, finite volume and level set methods, applied on structured and unstructured adaptive grids and accompanied by a fast and stable solution of arising systems of equations.