Results 21 to 30 of about 612 (138)
Sparse Regularization Least-Squares Reverse Time Migration Based on the Krylov Subspace Method
Remote SensingLeast-squares reverse time migration (LSRTM) is an advanced seismic imaging technique that reconstructs subsurface models by minimizing the residuals between simulated and observed data. Mathematically, the LSRTM inversion of the sub-surface reflectivity
Guangshuai Peng +4 more
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A Flexible Extended Krylov Subspace Method for Approximating Markov Functions of Matrices
Mathematics, 2023 A flexible extended Krylov subspace method (F-EKSM) is considered for numerical approximation of the action of a matrix function f(A) to a vector b, where the function f is of Markov type.
Shengjie Xu, Fei Xue
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High Voltage, EarlyView.ABSTRACT Structural mechanics field simulation plays a critical role in the vibration characteristic analysis of electrical equipment. Existing structural field analysis of equipment based on numerical simulation faces challenges such as convergence difficulties and prolonged computational time, failing to meet the demand for real‐time prediction of ...
Wanqing Wang +6 more
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Fractal and FractionalTo better simulate the prices of underlying assets and improve the accuracy of pricing financial derivatives, an increasing number of new models are being proposed.
Xu Chen +3 more
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Data‐Driven Spectral Prediction for Accelerating Large‐Scale Electronic Structure Calculations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Simulating large molecular systems comprising thousands of atoms requires highly scalable methodologies. While modern Density Functional Theory (DFT) codes exhibit linear scaling, solving the associated large, sparse generalized eigenproblems remains a critical computational bottleneck on exascale architectures.
Abhiram Badrinarayanan +6 more
wiley +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
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Mathematics, 2021 In many fields of science and engineering, partial differential equation (PDE) constrained optimal control problems are widely used. We mainly solve the optimization problem constrained by the time-periodic eddy current equation in this paper. We propose
Yan-Ran Li, Xin-Hui Shao, Shi-Yu Li
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT For complex geometries, the coarse problem of geometric multigrid can be too large to be solved by a direct solver. Here, we report on the use of domain decomposition applied to the multigrid coarse problem. Additive overlapping Schwarz methods are domain decomposition methods for the iterative solution of partial differential equations whose ...
Stephan Köhler, Oliver Rheinbach
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On Some Numerical Methods for Solving Large Differential Nonsymmetric Stein Matrix Equations
Mathematical and Computational Applications, 2022 In this paper, we propose a new numerical method based on the extended block Arnoldi algorithm for solving large-scale differential nonsymmetric Stein matrix equations with low-rank right-hand sides.
Lakhlifa Sadek +2 more
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Probing and Graph Coloring Techniques for Trace Estimation in Lattice QCD
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The computation of Tr[D−1]$\mathrm{Tr}[D^{-1}]$, where D$D$ is the Wilson–Dirac matrix of Lattice QCD, is a fundamental and computationally demanding task with applications to disconnected hadronic correlation functions. Since D−1$D^{-1}$ is a dense matrix of prohibitive size, its trace cannot be computed exactly, and one must resort to ...
Mario Papace +5 more
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