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VBARMS: A variable block algebraic recursive multilevel solver for sparse linear systems
(2014)Sparse matrices arising from the solution of systems of partial differential equations often exhibit a perfect block structure, meaning that the nonzero blocks in the sparsity pattern are fully dense (and typically small), ... 
Preconditioning for largescale boundary integral equations in electromagnetics
(2014)The boundaryelement method is a popular approach for solving electromagnetic applications. It can reduce a threedimensional problem to solving a twodimensional surface problem, simplifying considerably the mesh generation, ... 
A comparative study of iterative solutions to linear systems arising in quantum mechanics
(2010)This study is mainly focused on iterative solutions with simple diagonal preconditioning to two complexvalued nonsymmetric systems of linear equations arising from a computational chemistry model problem proposed by Sherry ... 
Effects of asymmetric vertical disruptions on ITER components
(2015)This paper deals with the halo current distribution due to asymmetric vertical displacement events (VDEs) and the subsequent force distributions on the conducting structures in the ITER tokamak. Both the eddy and halo ... 
Blockaccelerated aggregation multigrid for Markov chains with application to PageRank problems
(2018)Recently, the adaptive algebraic aggregation multigrid method has been proposed for computing stationary distributions of Markov chains. This method updates aggregates on every iterative cycle to keep high accuracies of ... 
Fast Iterative Method with a SecondOrder Implicit Difference Scheme for TimeSpace Fractional Convection–Diffusion Equation
(2017)In this paper we intend to establish fast numerical approaches to solve a class of initialboundary problem of timespace fractional convectiondiffusion equations. We present a new unconditionally stable implicit difference ... 
Fast and Parallel Computational Techniques Applied to Numerical Modeling of RFXmod Fusion Device
(2018)This paper presents fast computational techniques applied to modelling the RFXmod fusion device. An integral equation model is derived for the current distribution on the active coils of the conducting structures, and the ... 
An efficient elimination strategy for solving PageRank problems
(2017)In Web link structures, similar link distributions often occur, especially for pages from same hosts. For PageRank problems, similar inlink distributions of pages result in similar row patterns of the transition matrix. ... 
A spectrally preconditioned and initially deflated variant of the restarted block GMRES method for solving multiple righthand sides linear systems
(Pergamon, 2018)The solution of large linear systems with multiple righthand sides given simultaneously is required in many largescale scientific and engineering applications modelled by either partial differential or boundary integral ... 
Offdiagonal lowrank preconditioner for difficult PageRank problems
(NorthHolland, 2019)PageRank problem is the cornerstone of Google search engine and is usually stated as solving a huge linear system. Moreover, when the damping factor approaches 1, the spectrum properties of this system deteriorate rapidly ...