Results 61 to 70 of about 281 (133)
Toward an Efficient Shifted Cholesky QR for Applications in Model Order Reduction Using pyMOR
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Many model order reduction (MOR) methods rely on the computation of an orthonormal basis of a subspace onto which the large full order model is projected. Numerically, this entails the orthogonalization of a set of vectors. The nature of the MOR process imposes several requirements for the orthogonalization process.
Maximilian Bindhak +2 more
wiley +1 more source
Krylov Subspace Methods in the Electronic Industry [PDF]
, 2006 In most practical cases, the convergence of the GMRES method applied to a linear algebraic system Ax -- b is determined by the distribution of eigenvalues of A. In theory, however, the information about the eigenvalues alone is not sufficient for determining the convergence. In this paper the previous work of Greenbaum et al.
Heres, P.J., Schilders, W.H.A.
openaire +2 more sources
Performance of relaxed iterative methods for image deblurring problems
Journal of Algorithms & Computational Technology, 2019 In this paper, we consider performance of relaxation iterative methods for four types of image deblurring problems with different regularization terms.
Jae H Yun
doaj +1 more source
Toward a Mixed‐Precision ADI Method for Lyapunov Equations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We apply mixed‐precision to the low‐rank Lyapunov ADI (LR‐ADI) by performing certain aspects of the algorithm in a lower working precision. Namely, we accumulate the overall solution, solve the linear systems comprising the ADI iteration, and store the inner low‐rank factors of the residuals in various combinations of IEEE 754 single and ...
Jonas Schulze, Jens Saak
wiley +1 more source
Computer Sciences & Mathematics ForumIn this work, we propose a nonlinear dynamic inverse solution to the diffusion problem based on Krylov Subspace Methods with spatiotemporal constraints. The proposed approach is applied by considering, as a forward problem, a 1D diffusion problem with a ...
Luis Fernando Alvarez-Velasquez +1 more
doaj +1 more source
Monolithic Multi‐Level Overlapping Schwarz Preconditioners for Fluid Problems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Additive overlapping Schwarz methods are iterative methods of the domain decomposition type for the solution of partial differential equations. Numerical and parallel scalability of these methods can be achieved by adding coarse levels. A successful coarse space, inspired by iterative substructuring, is the generalized Dryja–Smith–Widlund ...
Stephan Köhler, Oliver Rheinbach
wiley +1 more source
Journal of Computational Chemistry, Volume 47, Issue 14, 30 May 2026.We propose a hybrid quantum and classical method for accurately evaluating molecular total energies with limited logical qubits. In our subspace dynamic correlation (SDC) method, electron correlation involving core and external orbitals that are not encoded on the quantum computer is recovered using an approximate wavefunction reconstructed on ...
Nobuki Inoue, Hisao Nakamura
wiley +1 more source
Shortcuts to Adiabaticity in Krylov Space
Physical Review XShortcuts to adiabaticity provide fast protocols for quantum state preparation in which the use of auxiliary counterdiabatic controls circumvents the requirement of slow driving in adiabatic strategies.
Kazutaka Takahashi, Adolfo del Campo
doaj +1 more source
Physics Letters B, 2016 We introduce a novel method to obtain level densities in large-scale shell-model calculations. Our method is a stochastic estimation of eigenvalue count based on a shifted Krylov-subspace method, which enables us to obtain level densities of huge ...
Noritaka Shimizu +5 more
doaj +1 more source
Applied SciencesAfter nearly two decades of development, transient electromagnetic (TEM) 3D forward modeling technology has significantly improved both numerical precision and computational efficiency, primarily through advancements in mesh generation and the ...
Ya’nan Fan +3 more
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