The AAA algorithm for rational approximation
We introduce a new algorithm for approximation by rational functions on a real or complex
set of points, implementable in 40 lines of MATLAB and requiring no user input parameters …
set of points, implementable in 40 lines of MATLAB and requiring no user input parameters …
[КНИГА][B] Lecture notes in computational science and engineering
TJ Barth, M Griebel, DE Keyes, RM Nieminen, D Roose… - 2005 - Springer
The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …
models based on differential equations. Initially, the FEniCS Project consisted of two …
Order reduction of large scale second-order systems using Krylov subspace methods
B Salimbahrami, B Lohmann - Linear Algebra and its Applications, 2006 - Elsevier
In order reduction of large-scale linear time invariant systems, Krylov subspace methods
based on moment matching are among the best choices today. However, in many technical …
based on moment matching are among the best choices today. However, in many technical …
Transparent CPU-GPU collaboration for data-parallel kernels on heterogeneous systems
Heterogeneous computing on CPUs and GPUs has traditionally used fixed roles for each
device: the GPU handles data parallel work by taking advantage of its massive number of …
device: the GPU handles data parallel work by taking advantage of its massive number of …
Real-time attack-recovery for cyber-physical systems using linear approximations
Attack detection and recovery are fundamental elements for the operation of safe and
resilient cyber-physical systems. Most of the literature focuses on attack-detection, while …
resilient cyber-physical systems. Most of the literature focuses on attack-detection, while …
Quadrature-Based Vector Fitting for Discretized Approximation
Vector fitting is a popular method of constructing rational approximants designed to fit given
frequency response measurements. The original method, which we refer to as VF, is based …
frequency response measurements. The original method, which we refer to as VF, is based …
An iterative SVD-Krylov based method for model reduction of large-scale dynamical systems
S Gugercin - Linear Algebra and its Applications, 2008 - Elsevier
In this paper, we propose a model reduction algorithm for approximation of large-scale
linear time-invariant dynamical systems. The method is a two-sided projection combining …
linear time-invariant dynamical systems. The method is a two-sided projection combining …
Second-order balanced truncation
We consider second-order linear time-invariant systems. The objective of this paper is to
present a new method for constructing a reduced system by preserving the second-order …
present a new method for constructing a reduced system by preserving the second-order …
The RKFIT algorithm for nonlinear rational approximation
The RKFIT algorithm outlined in [M. Berljafa and S. Güttel, SIAM J. Matrix Anal. Appl., 36
(2015), pp. 894--916] is a Krylov-based approach for solving nonlinear rational least …
(2015), pp. 894--916] is a Krylov-based approach for solving nonlinear rational least …
Structure preserving order reduction of large scale second order models
SB Salimbahrami - 2005 - mediatum.ub.tum.de
For reduced order modelling of large scale second order systems while preserving the
second order structure, we propose two approaches based on matching some of the …
second order structure, we propose two approaches based on matching some of the …