论文信息 - ON THE THEORY OF THE SPLITTING-UP METHOD

ON THE THEORY OF THE SPLITTING-UP METHOD

Publisher Summary This chapter provides an overview of the theory of the splitting-up method. It presents a scheme of splitting up of nonstationary problems. The numerical solution of linear and quasi-linear equations is an important problem of computational mathematics, as the equations of this kind are the basic elements of algorithms for the solution of the problems in hydrodynamics, plasma physics, and other branches of science. Therefore, the development of effective methods for the solution of such problems is of paramount importance. The chapter also suggests a special cyclic construction of the splitting up schemes of some specific type that is used for the solution of the Cauchy problems with positive semidefinite noncommutative operators Λ α j .

G. I. Marchuk | G. Marchuk

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