[PDF] Top 20 Krylov Subspace Solvers and Preconditioners
Has 10000 "Krylov Subspace Solvers and Preconditioners" found on our website. Below are the top 20 most common "Krylov Subspace Solvers and Preconditioners".
Krylov Subspace Solvers and Preconditioners
... methods. Krylov subspace methods and multigrid are discussed in Saad [38] and Trottenberg, Oosterlee and Sch¨ uller ...on Krylov subspace methods are [1, 6, 21, 34, ... See full document
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Integral equation analysis of complex (M)MIC-structures with optimized system matrix decomposition and novel quadrature techniques
... An optimized system matrix decomposition adapted to the topology of complex (M)MIC-structures was presented, leading to high performance preconditioners within Krylov subspace solvers. Using ... See full document
5
Parallel Preconditioners for Stokes Flow
... and Krylov subspace methods or ...multigrid solvers within block preconditioners for Krylov solvers [127] and the application of preconditioners designed for Krylov ... See full document
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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 ... See full document
5
Deflation Technique to Accelerate the Convergence of Iterative Solver for the Wave Scattering Problem
... In this paper, we discussed the ingredients of robust and efficient iterative solver for high wave number Helmholtz problems. Need of preconditioner is highlighted and a critical investigation of different ... See full document
5
Parallel Implementation of Hybrid Direct-Iterative Algorithm for Multibody Dynamics via Krylov Subspace Methods on IBM 1350 Cluster
... A new HDIA procedure and its parallel implementation on IBM 1350 cluster via integration with various nonstationary iterative solvers in Aztec have been introduced in this paper. Joint separation is utilized to ... See full document
6
On the Behavior of Combination High Order Compact Approximations with Preconditioned Methods in the Diffusion Convection Equation
... different preconditioners in combination with Krylov subspace methods for solving linear systems arising from the compact finite difference schemes [10, 11] for 2-D parabolic equation ... See full document
7
A Robust Preconditioned Iterative Method for the Navier-Stokes Equations with High Reynolds Numbers
... of preconditioners and Krylov subspace iterative ...iterative solvers can be found in many textbooks (see [1] and [2] ...iterative solvers provide a robust behavior under the high ... See full document
6
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, ... See full document
37
An Improved Wavelet Based Preconditioner for Sparse Linear Problems
... or Krylov subspace iterative methods (Conjuagate Gradient (CG), General- ised Minimum Residual (GMRES) and their variants ...and Krylov subspace iterations could provide efficient and simple ... See full document
7
Numerical Verification of 10000-dimensional Linear Systems 10000x Faster
... their Krylov simulations use an a priori error condition to determine the necessary dimension of the Krylov subspace k, and then bloat the result by the computed error ...for Krylov ... See full document
10
Benchmarking of Problems and Solvers: A Ranking Theory Approach
... benchmarking computational problems and their solvers. The proposed methods are based on special construction of the paired comparison matrices of the problems and solvers; in other words, the score- ... See full document
5
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 to the ... See full document
16
SVD MPE: An SVD Based Vector Extrapolation Method of Polynomial Type
... MPE, RRE, and TEA are mathematically equivalent to, respectively, the full orthogonalization method (FOM) of Arnoldi [36], the generalized minimum residual method (GMR), the best implementation of it being GMRES by Saad ... See full document
20
A survey of methods for computing large sparse matrix exponentials arising in Markov modelling
... computed Krylov approximation is mathematically guaranteed to be a probability vector for small enough step-sizes and secondly, the global error in the approximation grows at most ... See full document
21
Krylov Subspace Spectral Methods for the Time-Dependent Schr¨odinger Equation with Non-Smooth Potentials
... other Krylov subspace methods (see, for example, [10]) for stiff systems of ODE, and, as shown in [11], they are also quite stable, considering that they are explicit ... See full document
6
The idea behind Krylov methods
... How about the number of possible Krylov solutions? We don't have any idea yet how many there can be. To answer this question, we need a compact representation of solutions to a linear system with conned right-hand ... See full document
13
A New Type of Restarted Krylov Methods
... In this paper we present a new type of Restarted Krylov methods for calculat- ing peripheral eigenvalues of symmetric matrices. The new framework avoids the Lanczos tridiagonalization process, and the use of ... See full document
11
Solution of Time-Dependent PDE Through Component-wise Approximation of Matrix Functions
... in terms of 𝑗, as in Fourier spectral methods. The other two expressions in (27) are readily obtained from bases for Krylov subspaces generated by v. Thus it is worth- while to explore the adaptation of KSS ... See full document
10
Krylov subspace time domain computations of monochromatic sources for multi frequency optical response
... different Krylov subspace methods to efficiently solve Maxwell’s equa- tions in a scattering medium for monochromatic sources to calculate a multi-frequency ...a Krylov subspace method ... See full document
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