Results 61 to 70 of about 442,498 (206)

Dimensional Synthesis for Emulating Nonlinear Disclination Dynamics

Nanophotonics, Volume 15, Issue 17, 11 September 2026.
(a) Intensity distributions of the 2D disclination lattice under corner‐site excitation in the linear (a1), weakly nonlinear (a2), and strongly nonlinear (a3) regimes. (b) Corresponding one‐dimensional synthesized lattices (1DSLs) obtained through Lanczos mapping under the same nonlinear regimes.
Junqian Wang, Sihong Lei, Daohong Song, Liqin Tang, Shiqi Xia, Zhigang Chen   +5 more
wiley   +1 more source

Methane Emissions From U.S. Lakes Dominated by Ebullition, Shallow Zones, and Anthropogenic Drivers

Geophysical Research Letters, Volume 53, Issue 16, 28 August 2026.
Abstract Lakes are globally important sources of atmospheric methane (CH4), yet a process‐based understanding of their emissions and drivers at regional scales remains limited. Here we developed and applied a one‐dimensional lake model to 42,948 natural lakes across the contiguous United States (CONUS).
Chunqi Shen, Peter A. Raymond
wiley   +1 more source

Tridiagonal Interval Matrix: Exploring New Perspectives and Application

Science and Technology Indonesia
Tridiagonal interval matrices are relevant in diverse applications, especially in dealing with parameter estimation, optimization and circuit analysis uncertainties.
Sivakumar Thirupathi, Nirmala Thamaraiselvan   +1 more
doaj   +3 more sources

A Study of Determinants and Inverses for Periodic Tridiagonal Toeplitz Matrices with Perturbed Corners Involving Mersenne Numbers

Mathematics, 2019
In this paper, we study periodic tridiagonal Toeplitz matrices with perturbed corners. By using some matrix transformations, the Schur complement and matrix decompositions techniques, as well as the Sherman-Morrison-Woodbury formula, we derive explicit ...
Yunlan Wei, Yanpeng Zheng, Zhaolin Jiang, Sugoog Shon   +3 more
doaj   +1 more source

Rheological Modeling and Numerical Simulation of Annular Flow of a Drilling Mud Based on Local Materials: Theoretical Parametric Study

Engineering Reports, Volume 8, Issue 8, August 2026.
Numerical and analytical modeling of annular flow reveals the hydraulic performance of sustainable drilling muds formulated from Congolese kaolinitic clay, okra mucilage, and plant ashes. Yield stress enhances cuttings transport, while shear‐thinning behavior reduces pressure losses and pumping energy.
Stanislas Ulrich Berry Moukila
wiley   +1 more source

On the enumeration of symmetric tridiagonal matrices with prescribed determinant over commutative finite chain rings

Special Matrices
Determinants of structured matrices play a fundamental role in both pure and applied mathematics, with wide-ranging applications in linear algebra, combinatorics, coding theory, and numerical analysis.
Martinez-Moro Edgar, Rodnit Neennara, Jitman Somphong   +2 more
doaj   +1 more source

Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 12, Page 4863-4878, 25 August 2026.
ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo, Sonny Irawan, Mohd Zulkifli Bin Mohamad Noor, Mudasar Zafar, Shynar Juziyeva, Camila Martins Saporetti, Leonardo Goliatt, Randy Hazlett   +7 more
wiley   +1 more source

On a Discrete Inverse Problem for Two Spectra

Discrete Dynamics in Nature and Society, 2012
A version of the inverse spectral problem for two spectra of finite-order real Jacobi matrices (tridiagonal symmetric matrices) is investigated. The problem is to reconstruct the matrix using two sets of eigenvalues: one for the original Jacobi matrix ...
Gusein Sh. Guseinov
doaj   +1 more source

Detecting When One Probe Vector is Enough for Preconditioned Log‐Determinant Approximation

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We present randomized algorithms for estimating the log‐determinant of regularized symmetric positive semi‐definite matrices. The algorithms access the matrix only through matrix vector products, and are based on the introduction of a preconditioner and stochastic trace estimator.
Alice Cortinovis, Daniele Toni
wiley   +1 more source

Fast Algorithm for the Inverse Matrices of Adding Element Tridiagonal Periodic Matrices in Signal Processing

, 2010
Adding element tridiagonal matrices play a very important role in the theory and practical applications, such as the boundary value problems by finite difference methods, interpolation by cubic splines, three-term difference equations and so on.
Xue Ting Liu, Yan Lei Zhao
core   +1 more source