This paper describes the work on parallelization of the tracer interfaces moving grid method program, and gives some numerical experiments on several computers.
This paper describes the work on parallelization of the tracer interfaces moving grid method program, and gives some numerical experiments on several computers.
Parallel multigrid computations for high Reynolds Steady-state incompressible enterring flows and recirculating flows Navier-Stokes equations are organized in this *** on the existed successful serial algorithms, comb...
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Parallel multigrid computations for high Reynolds Steady-state incompressible enterring flows and recirculating flows Navier-Stokes equations are organized in this *** on the existed successful serial algorithms, combined with the typical numerical examples, we carefully analyzed the decrements of numerical convergence rates and the increaments of parallel efficiencies owing to the introductions of Schwarz parallelizations suitable for grid partitioning to obtain large granularity parallelism. Detail parallel numerical performence results
The analysis of the finite difference schemes with nonuniform meshes for the problems of partial differential equations is extremely rare even for very simple problems and even for the method of fully heuristic charac...
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The analysis of the finite difference schemes with nonuniform meshes for the problems of partial differential equations is extremely rare even for very simple problems and even for the method of fully heuristic character. In the present work the boundary value problem for quasilinear parabolic system is solved by the finite difference method with nonuniform meshes. By using of the interpolation formulas for the spaces of discrete functions with unequal meshsteps and the method of a priori estimation for the discrete solutions of finite difference schemes with nonuniform meshes, the absolute and relative convergence of the discrete solutions of the finite defference scheme are proved. The limiting vector function is just the unique generalized solution of the original problem for the parabolic system.
We study the decay of solutions of two nonlinear evolution equations: the Benjamin-OnoBurgers and the Schrodinger-Burgers equations. We establish sharp rates of L2 decay of global solutions to these problems, with ini...
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We study the decay of solutions of two nonlinear evolution equations: the Benjamin-OnoBurgers and the Schrodinger-Burgers equations. We establish sharp rates of L2 decay of global solutions to these problems, with initial data Uo(x)∈L1∩L2. The decay results of the solutions follow from the a priori L2 integral estimstes and the Fourier transform. The standard argument relies on a technique that involves the splitting of the phase space into two time-dependent subdomains.
We consider the scattering problem for the Hartree equation with potential|x|-1in a space of dimension n≥*** prove the existence of Hm-modified wave operator for Hartree equation on a dense set of a neighborhood of z...
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We consider the scattering problem for the Hartree equation with potential|x|-1in a space of dimension n≥*** prove the existence of Hm-modified wave operator for Hartree equation on a dense set of a neighborhood of zero in Hm（Rn）,meanwhile,we obtain also the global existence for the Cauchy problem of Hartree equation in a space of dimension n≥2.
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