Results 21 to 30 of about 86 (83)
Space‐Time Boundary Elements on Graded Meshes for 3D Elastodynamics
International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.ABSTRACT The solution to the elastodynamic equations in the exterior of a polygonal or polyhedral domain or a screen exhibits singularities at corners and edges. This paper presents a space‐time boundary element method in 3D on algebraically graded meshes to resolve these singularities, based on recently obtained error estimates for the weakly singular
Alessandra Aimi +3 more
wiley +1 more source
Symmetric Cauchy-like Preconditioners for the Regularized Solution of 1-D Ill-Posed Problems [PDF]
, 1998 The discretization of integral equations can lead to systems involving symmetric Toeplitz matrices. We describe a preconditioning technique for the regularized solution of the related discrete ill-posed problem.
Kilmer, Misha E.
core
Advanced Photonics Research, Volume 6, Issue 9, September 2025.Coherent anti‐stokes Raman spectroscopy (CARS) enables high‐resolution vibrational imaging, yet non‐resonant background (NRB) distorts spectral fidelity. This review highlights NRB removal methods—from experimental strategies and numerical algorithms to emerging deep learning techniques.
Rajendhar Junjuri, Thomas Bocklitz
wiley +1 more source
Road traffic estimation and algorithmic routing in a spatially dependent network
Scandinavian Journal of Statistics, Volume 52, Issue 2, Page 1058-1091, June 2025.ABSTRACT This work concerns a procedure to estimate the joint distribution of the per‐edge travel times in a road traffic network with spatial dependence. The constructed estimator, based on the realized travel times of a collection of independently operating probe vehicles traversing the network, is shown to be consistent and rate‐optimal.
Rens Kamphuis +2 more
wiley +1 more source
On the stability of Runge–Kutta methods for arbitrarily large systems of ODEs
Communications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 821-855, April 2025.Abstract We prove that Runge–Kutta (RK) methods for numerical integration of arbitrarily large systems of Ordinary Differential Equations are linearly stable. Standard stability arguments—based on spectral analysis, resolvent condition or strong stability, fail to secure the stability of RK methods for arbitrarily large systems.
Eitan Tadmor
wiley +1 more source
An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source
High‐Frequency Instruments and Identification‐Robust Inference for Stochastic Volatility Models
Journal of Time Series Analysis, Volume 46, Issue 2, Page 216-234, March 2025.ABSTRACT We introduce a novel class of stochastic volatility models, which can utilize and relate many high‐frequency realized volatility (RV) measures to latent volatility. Instrumental variable methods provide a unified framework for estimation and testing.
Md. Nazmul Ahsan, Jean‐Marie Dufour
wiley +1 more source
Sketched and Truncated Polynomial Krylov Methods: Evaluation of Matrix Functions
Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.ABSTRACT Among randomized numerical linear algebra strategies, so‐called sketching procedures are emerging as effective reduction means to accelerate the computation of Krylov subspace methods for, for example, the solution of linear systems, eigenvalue computations, and the approximation of matrix functions.
Davide Palitta +2 more
wiley +1 more source
Asymptotics of block Toeplitz determinants with piecewise continuous symbols
Communications on Pure and Applied Mathematics, Volume 78, Issue 1, Page 120-160, January 2025.Abstract We determine the asymptotics of the block Toeplitz determinants detTn(ϕ)$\det T_n(\phi)$ as n→∞$n\rightarrow \infty$ for N×N$N\times N$ matrix‐valued piecewise continuous functions ϕ$\phi$ with a finitely many jumps under mild additional conditions.
Estelle Basor +2 more
wiley +1 more source
Methods of Sparse Measurement Matrix Optimization for Compressed Sensing
IET Signal Processing, Volume 2025, Issue 1, 2025.In compressed sensing (CS), a sparse measurement matrix with few nonzero entries is more competitive than a dense matrix in reducing the number of multiplication units. Recent studies indicate that an optimized measurement matrix having low coherence with a specified dictionary can significantly improve the reconstruction performance.
Renjie Yi +5 more
wiley +1 more source