The algorithms studied in numerical analysis are widely used in science and engineering. They are especially common with large scientific simulations in many fields, ranging from astronomy and meteorology to physics and mechanical engineering. Systems of equations are commonly so big we are unable to solve them using just a single computer.
In this thesis we have examined the algorithms for numerical integration, both sparse and dense matrix multiplication and solving of systems of linear equations on a distributed memory machine. Moreover, we have also engineered a prototype of a cloud service for solving these kinds of problems using the actor model of concurrency.