246 papers
This paper presents a comparative numerical study of six graph-based splitting algorithms specialized for linear subspaces, identifying optimal relaxation parameters and analyzing iteration counts to reveal performance patterns that may inform future theoretical analysis.
This paper presents a non-intrusive, multi-fidelity reduced-order modeling framework that utilizes Optimal Transport-based displacement interpolation to efficiently correct low-fidelity models and construct accurate parametric surrogates for complex, nonlinear two-phase flow simulations.
This paper validates the legitimacy and effectiveness of a newly proposed high-frequency fast direct solver for electromagnetic integral equations on non-canonical geometries by leveraging semiclassical microlocal results to analyze its asymptotic spectral properties.
This paper introduces Exp-ParaDiag, a novel time-parallel framework that integrates exponential integrators to solve parabolic PDEs and nonlinear problems with rigorous convergence guarantees and temporal accuracy ranging from first to sixth order.
This paper establishes a strengthened comparison theorem for the extreme eigenvalues of sums of independent random symmetric matrices against Gaussian counterparts, leveraging this result to improve eigenvalue bounds across various fields and providing the first complete proof of the injectivity properties for sparse random dimension reduction maps conjectured by Nelson & Nguyen.
This paper proposes an annealing-based algorithm that solves partial differential equations by transforming discretized linear systems into generalized eigenvalue problems, enabling efficient computation of eigenvectors to arbitrary precision without increasing the number of variables.