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Preconditioning Techniques in Krylov Subspace Methods
This study discusses preconditioning approaches to address large, sparse linear systems as well as Krylov subspace methods. Among others, computational fluid dynamics, structural analysis, and electromagnetic simulations use Krylov methods like the ...
Najm, Zina Jabbar
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Keywords: secant methods, Krylov subspace methods, nonlinear equations, Newton's method, Broydcn's method AMS(MOS) subject classification: 3504, 35Q35, 35M10 ...
Fast Krylov-Secant Methods +7 more
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Recently, digital transformation has become crucial for the safe operation and extended lifespan of ships and offshore structures. Structural health management is gaining importance and driving interest in digital twin technology for monitoring ...
Kichan Sim +3 more
doaj +1 more source
Discrete ordinates (SN) method with unstructured meshes is highly appropriate for high-fidelity modeling and simulation of radiation shielding problems with complicated geometries.
Ao Zhang +3 more
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Krylov subspace techniques for rational integrators
Implementation of exponential integrators is usually based on Krylov subspace methods, with control of generalized residuals. We consider the case where rational analogues are used for the matrix exponential and the phi- or related functions, e.g.
Auzinger, Winfried
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On the generation of Krylov subspace bases
Many problems in scientific computing involving a large sparse matrix A are solved by Krylov subspace methods. This includes methods for the solution of large linear systems of equations with A, for the computation of a few eigenvalues and associated ...
Philippe, Bernard, Reichel, Lothar
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Information Retrieval Using Krylov Subspace Methods
In this dissertation we discuss how simple Krylov subspace methods can be used for information retrieval (IR). The dissertation consists of two parts.
Blom, Katarina
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Practical issues of model order reduction with Krylov-subspace methods [PDF]
Model Order Reduction plays an increasingly important role in electronic simulations. The actual implementation of the methods however, leads to many practical problems.
Wil Schilders +3 more
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Deterministic sketching for Krylov subspace methods
Randomized sketching is currently introduced into every area of numerical linear algebra. In Krylov subspace methods, it allows runtime savings at the cost of small accuracy reductions. This work offers a different view on sketching in Krylov methods by analyzing what subspace embeddings are obtained by arbitrary sketching matrices.
openaire +3 more sources
Krylov subspace methods for computing hydrodynamic interactions in brownian dynamics simulations. [PDF]
Ando T, Chow E, Saad Y, Skolnick J.
europepmc +1 more source

