Results 21 to 30 of about 2,263,836 (123)
With the Chebyshev polynomials through geometric circulant matrices [PDF]
We will present estimates for spectral norm bounds of the geometric circulant matrices whose entries are the Chebyshev polynomials of the first and the second kind.
Pešović, Marko, Pucanović, Zoran
core +3 more sources
Abstract Accurately predicting solute transport remains a central challenge in hydrogeology due to limited data and multiscale subsurface heterogeneity. Fractional Brownian motion (fBm) is widely used to model the logarithm of hydraulic conductivity fields.
Binhao Li +2 more
wiley +1 more source
Computational study of permeability in cardboard coating layers
Abstract We develop a virtual material structure model based on a combination of tessellations and Gaussian random fields for a coating layer of paperboard used for packaging and designed to facilitate printing on the surface. To fit the model to tomographic image data acquired using combined focused ion beam and scanning electron microscopy (FIB‐SEM),
Sandra Barman +6 more
wiley +1 more source
VanderLaan Circulant Type Matrices [PDF]
Circulant matrices have become a satisfactory tools in control methods for modern complex systems. In the paper, VanderLaan circulant type matrices are presented, which include VanderLaan circulant, left circulant, and g-circulant matrices.
Hongyan Pan, Zhaolin Jiang
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Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley +1 more source
Circulant Type Matrices with the Sum and Product of Fibonacci and Lucas Numbers [PDF]
Circulant type matrices have become an important tool in solving differential equations. In this paper, we consider circulant type matrices, including the circulant and left circulant and g-circulant matrices with the sum and product of Fibonacci and ...
Zhaolin Jiang, Yanpeng Gong, Yun Gao
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ABSTRACT In this work, we propose a novel preconditioned minimal residual method for a class of real, nonsymmetric multilevel block Toeplitz systems, which generalizes an ideal preconditioner established in [J. Pestana. Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices. SIAM Journal on Matrix Analysis and Applications, 40(3):870–
Grigorios Tachyridis, Sean Y. Hon
wiley +1 more source
Abstract In subwavelength physics, a challenging problem is to characterise the spectral properties of finite systems of subwavelength resonators. In particular, it is important to identify localised modes as well as bandgaps and associated mobility edges.
Habib Ammari +2 more
wiley +1 more source
Procedural Multiscale Geometry Modeling using Implicit Surfaces
Abstract Materials exhibit geometric structures across mesoscopic to microscopic scales, influencing macroscale properties such as appearance, mechanical strength, and thermal behavior. Capturing and modeling these multiscale structures is challenging but essential for computer graphics, engineering, and materials science.
Bojja Venu +2 more
wiley +1 more source
Structured Nuclear Norm Matrix Completion: Guaranteeing Exact Recovery via Block‐Column Scaling
ABSTRACT The goal of low‐rank matrix completion is to minimize the rank of a matrix while adhering to the constraint that known (non‐missing) elements are fixed in the approximation. Minimizing rank is a difficult, non‐convex, NP‐hard problem, often addressed by substituting rank with the nuclear norm to achieve a convex relaxation.
Konstantin Usevich +3 more
wiley +1 more source

