Based on the Hermitian and skew-Hermitian splitting (HSS) iteration technique, we establish a generalized HSS (GHSS) iteration method for solving large sparse continuous Sylvester equations with non-Hermitian and positive definite/semidefinite matrices. The GHSS method is essentially a four-parameter iteration which not only covers the standard HSS iteration but also enables us to optimize the ...

* Correspondence: fuquanxia@sina. com Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610066, P. R. China Full list of author information is available at the end of the article Abstract In this paper, a projective splitting method for solving a class of generalized mixed variational inequalities is considered in Hilbert spaces. We investigate a general iterative algorithm...

This paper presents an overview and comparison of iterative solvers for linear stochastic partial differential equations (PDEs). A stochastic Galerkin finite element discretization is applied to transform the PDE into a coupled set of deterministic PDEs. Specialized solvers are required to solve the very high-dimensional systems that result after a finite element discretization of the resulting...

A 2nd-order, L-stable Rosenbrock method from the eld of sti ordinary di erential equations is studied for application to atmospheric dispersion problems describing photochemistry, advective and turbulent di usive transport. Partial di erential equation problems of this type occur in the eld of air pollution modelling. The focal point of the paper is to examine the Rosenbrock method for reliable...

We review applications of Yangain symmetry to high-energy QCD phenomenology. Some basic facts about are recalled, in particular the spinor-helicity form scattering amplitudes, scale evolution equations deep-inelastic structure functions and asymptotics scattering. As working tool Yangian symmetric correlators introduced constructed framework algebra $g\ell(n)$ type. present application tree amp...


 We compare four numerical methods for the time discretization of linear coupled elliptic-parabolic systems.
 The monolithic method arising from an implicit Euler is primary solving system.
 Accelerated solution via non-iterative decoupling possible by semi-explicit discretization, using a novel methodology related delay differential equations. For poroelasticity, fixed-stress s...

We propose a modiied approach to the abstract convergence theory of the additive and multiplicative Schwarz iterative methods associated with a subspace splitting for solving symmetric positive deenit linear problems. In particular, we obtain a satisfactory bound for the convergence rate of the appropriately scaled multiplicative Schwarz method directly in terms of the condition number of the c...