Boreskov

PP‐6SOFTWARE MODELLER OF EVOLUTION PROCESSESChernykh I.G., Antonova M.S.*Institute of Computational Mathematics and Mathematical Geophysics SB RAS,Novosibirsk, Russia; E‐mail: chernykh@parbz.sscc.ru*Novosibirsk State University, Novosibirsk, RussiaModeling of evolution processes of substance generates the problem of solving highdimension system of ordinary differential equations (ODE). This problem is typical for tasksof abiogenous synthesis of prebiotic compound and for tasks of modeling of biologicalhierarchical systems.Modeling of chemical evolution of substance includes numerical integration of largesystem of time dependent chemical rate ordinary differential equations (ODE).ChemPAK software package was created for solving these problems. Due to the rapidgrowth of the computing power, as well as the rapid development of computationalmathematics and algorithms, a whole series of articles and software realizations appears invarious fields of science. The areas of application of approximate formulas for the simulationof various processes are rapidly developing. Objects are approximated as a solution forequations and systems of partial differential equations. The usage of approximated formulascan be used accurately for guarantee the quality of the numerical results. The problem ofcomputational linear algebra operation of calculating the scalar multiplication is a base forother operations. Therefore, all operations of computational linear algebra is necessary tobe assessed for the guaranteed accuracy of calculations. It is also worth noting that themany modern libraries did not assess for the accuracy of calculations. For the summation ofa large number of elements beyond the trivial sum has developed a number of algorithms,including the assessment guarantee the accuracy of the result. New version of ChemPAKsoftware package will be presented with high accuracy and GPU optimized ODE solvers. Thistechnology gives possibility to solve evolution model task with more than 1000 differentialequations in a seconds.141