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Filtered Krylov-like sequence method for symmetric eigenvalue problems
In this paper, by introducing a class of filtered Krylov-like subspaces, we present the filtered Krylov-like sequence method for computing one...
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A variant of PMHSS iteration method for a class of complex symmetric indefinite linear systems
We propose a variant of PMHSS iteration method for solving and preconditioning a class of complex symmetric indefinite linear systems. The...
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Solving differential eigenproblems via the spectral Tau method
The spectral Tau method to compute eigenpairs of ordinary differential equations is implemented as part of the
Tau Toolbox —a numerical library for...
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A matrix splitting preconditioning method for solving the discretized tempered fractional diffusion equations
The initial boundary value problem of the tempered fractional diffusion equations is a kind of important equations arising in many application...
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Efficient multi-scale community search method based on spectral graph wavelet
Community search is an important problem in network analysis, which has attracted much attention in recent years. As a query-oriented variant of...
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Cross-points in the Dirichlet-Neumann method I: well-posedness and convergence issues
Cross-points in domain decomposition, i.e., points where more than two subdomains meet, have received substantial attention over the past years,...
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High Resolution Patient-Specific Blood Flow Simulation in a Full-Size Aneurysmal Aorta Based on a Parallel Two-Level Method
An accurate and efficient blood flow simulation in patient-specific arteries is instructive for the diagnose and treatment of various vascular...
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An Exact Schur Complement Method for Time-Harmonic Optimal Control Problems
By use of Fourier time series expansions in an angular frequency variable, time-harmonic optimal control problems constrained by a linear...
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Regularization of inverse problems by an approximate matrix-function technique
In this work, we introduce and investigate a class of matrix-free regularization techniques for discrete linear ill-posed problems based on the...
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A Newton method for best uniform rational approximation
We present a novel algorithm, inspired by the recent BRASIL algorithm, for best uniform rational approximation of real continuous functions on real...
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Forward and Backward Constrained Bisimulations for Quantum Circuits
Efficient methods for the simulation of quantum circuits on classic computers are crucial for their analysis due to the exponential growth of the...
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An improved preconditioned inexact Uzawa method for elliptic optimal control problems
In this paper, efficient algorithms will be studied for solving nonlinear saddle point problems from the elliptic optimal control problems. Based on...
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Computing the logarithmic capacity of compact sets having (infinitely) many components with the charge simulation method
We apply the charge simulation method (CSM) in order to compute the logarithmic capacity of compact sets consisting of (infinitely) many “small”...
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Linearization, Model Reduction and Reachability in Nonlinear odes
In the analysis of nonlinear ordinary differential equations (odes), linear and Taylor approximations are fundamental tools. Such approximations are...
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Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces
For computing the smallest eigenvalue and the corresponding eigenvector of a Hermitian matrix, by introducing a concept of perfect Krylov subspace,...
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Efficient and Scalable Kernel Matrix Approximations Using Hierarchical Decomposition
With the emergence of Artificial Intelligence, numerical algorithms are moving towards more approximate approaches. For methods such as PCA or...
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Applying Recent Machine Learning Approaches to Accelerate the Algebraic Multigrid Method for Fluid Simulations
In this work, we describe our experiences trying to apply recent machine learning (ML) advances to the Algebraic Multigrid (AMG) method to predict...
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A Hessenberg-type algorithm for computing PageRank Problems
PageRank is a widespread model for analysing the relative relevance of nodes within large graphs arising in several applications. In the current...
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A novel descriptor (LGBQ) based on Gabor filters
Recently, many existing automatic facial verification methods have focused on learning the optimal distance measurements between facials. Especially...
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A simple extrapolation method for clustered eigenvalues
This paper introduces a simple variant of the power method. It is shown analytically and numerically to accelerate convergence to the dominant...
