Krylov subspace based methods
Krylov subspace methods for time modeling of photonic crystals
... are based on periodicity are not strictly speaking applicable but usually the conclusions based on these methods are still valid, see for example [13, ...
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Block Krylov Subspace Spectral Methods for Variable-Coefficient Elliptic PDE
... of methods, called Krylov subspace spectral (KSS) methods, was introduced for the purpose of solv- ing parabolic variable-coefficient ...These methods are based on techniques ...
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Deflation Technique to Accelerate the Convergence of Iterative Solver for the Wave Scattering Problem
... is based on a Helmholtz operator with a complex- valued shift for a Krylov subspace iterative ...as Krylov subspace methods depends upon eigenvalues, highlights in this ...
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High Performance Iterative Solver for Linear System using Multi GPU
... VP Krylov subspace method is developed based on preconditioned Krylov subspace ...VP Krylov subspace method can be developed by replacing the preconditioning procedure ...
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SVD MPE: An SVD Based Vector Extrapolation Method of Polynomial Type
... extrapolation methods MPE, RRE, and TEA with Krylov subspace methods for linear ...a Krylov subspace method is also a projection method and that a projection method is defined ...
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On the Behavior of Combination High Order Compact Approximations with Preconditioned Methods in the Diffusion Convection Equation
... systems. Based on author’s observations, there is not a comprehensive study for comparison of preconditioning techniques to solve li- near ...with Krylov subspace methods for solving linear ...
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Subspace Methods applied to gPC-based Surrogate Model Construction.
... Finding the fundamental eigenpair (eigenvalue and eigenvector) is the computational burden for large scale problem. Historically in nuclear engineering, this generalized eigen- value problem is solved by the power ...
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A survey of methods for computing large sparse matrix exponentials arising in Markov modelling
... Krylov subspace techniques have been shown to yield robust methods for the nu- merical computation of large sparse matrix exponentials and especially the transient solutions of Markov ...these ...
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Reduced Rank Adaptive Filtering Using Krylov Subspace
... reduced-rank methods in the context of CDMA multiuser detection, the model is sufficiently general to encompass other applications, for example, radar [15] and GPS [16] space-time adaptive signal ...reduced-rank ...
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Integral equation analysis of complex (M)MIC-structures with optimized system matrix decomposition and novel quadrature techniques
... equation methods for the analy- sis of complex (M)MIC structures, the computation and stor- age effort for the solution of the linear systems of equations with their fully populated matrices still forms the main ...
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An Explicit, Stable, High-Order Spectral Method for the Wave Equation Based on Block Gaussian Quadrature
... of Krylov Subspace Spectral (KSS) Methods, which build on the work of Golub, Meurant and others per- taining to moments and Gaussian quadrature to pro- duce high-order accurate approximate solutions ...
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Preconditioners based on splitting for time domain photonic crystal modeling
... Today the Maxwell equations of electrodynamics are still solved using the finite-difference time-domain method, because of the relative simplicity of the method. In order to solve these equations on an infinite domain, ...
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An Improved Wavelet Based Preconditioner for Sparse Linear Problems
... wavelet based preconditioners for Krylov subspace iterative methods for ill conditioned sparse matrices and shown that these preconditioners are more effective compared with that of classical ...
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Solving large systems arising from fractional models by preconditioned methods
... that Krylov subspace methods generally require an effective preconditioner in order to perform ...preconditioners based on eigenvalue ...
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Parallel Implementation of Hybrid Direct-Iterative Algorithm for Multibody Dynamics via Krylov Subspace Methods on IBM 1350 Cluster
... machines. Based on his previous work [4] in 1990, Anderson [5] demonstrated that significantly greater parallelism could be realized with a modified form of the O (n ) ...
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Krylov subspace time domain computations of monochromatic sources for multi frequency optical response
... In Krylov subspace expo- nential time integration methods the system is projected on a smaller system of ODEs, this projection is made independent of the temporal part of the ...
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A New Type of Restarted Krylov Methods
... restarted Krylov methods are classified into three types of restarts: “Explicit restart” [1], [9], [11], “Implicit restart” [1], [3], [12], and “Thick restart” [18], ...these methods are carried out ...
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Magnetohydrodynamic modeling of solar magnetic arcades using exponential propagation methods
... the methods have only been used for small test problems 40, 30] and the performance of these methods for large-scale three-dimensional systems of equations have not been studied in any ...propagation ...
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A Multigrid Block Krylov Subspace Spectral Method for Variable-Coefficient Elliptic PDE
... KSS methods require 𝑂(𝑁 log 𝑁 ) floating-point opera- ...KSS methods. For both types of methods, it can be shown that for a 𝐾-node Gaussian rule or block Gaussian rule, 𝐾 applications of the operator ...
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Recent Updates in Two Competitive Algorithms for Model Reduction of Large-Scale Dynamical Systems
... iterative methods were proposed, ...Smith methods [7], projection methods [8], and sign function methods ...the methods are shown to be applicable for large scale dynamical systems, the ...
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