Fragmentation is a well-known method of the numerical algorithms and programs parallelization. Algorithms fragmentation allows creating fragmented parallel programs that can be executed on parallel computers of different types (multiprocessors and/or multicomputers) and can be dynamically tuned to all the available resources. Fragmentation of the often used numerical algorithms, their representation for inclusion into the library of parallel numerical subroutines and properties of the runtime system are considered. The properties of numerical algorithms representation for their high performance execution on different types of multicomputers will be finally formulated.