Domain decomposition methods constitute a fundamental strategy in numerical analysis, enabling the partitioning of large and complex computational problems into smaller, more manageable sub-problems.

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...

Adaptive finite element methods (AFEM) represent a pivotal advancement in numerical analysis by dynamically refining computational meshes to achieve greater solution accuracy. These methods are ...

Special Issue No. 91: PROCEEDINGS OF THE 3rd INTERNATIONAL WATER SAFETY SYMPOSIUM IWSS 2018 (SUMMER 2019), pp. 146-150 (5 pages) Published By: Coastal Education & Research Foundation, Inc. In this ...

Find the forces on the object. Find the new momentum (based on the force and the small time interval) Find the new position (based on the velocity and time interval). Simple. And it even works most of ...

We propose a new concept which allows us to apply any numerical method of weak approximation to a very broad class of stochastic differential equations (SDEs) with nonglobally Lipschitz coefficients.

Analysis and implementation of numerical methods for random processes: random number generators, Monte Carlo methods, Markov chains, stochastic differential equations, and applications. Recommended ...

In my two previous columns, I discussed the lower and intermediate levels of the building block approach for crashworthiness testing and analysis of composite structures. I focused on the commercial ...