From the 1 of 5.5k papers with an AI index.
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11 papers · 2 filters
Exact splitting methods for kinetic and Schr{ö}dinger equations
Joackim Bernier, Nicolas Crouseilles, Yingzhe Li
In [8], some exact splittings are proposed for inhomogeneous quadratic differential equations including, for example, transport equations, kinetic equations, and Schr{ö}dinger type…
Practical computation of the diffusion MRI signal of realistic neurons based on Laplace eigenfunctions
Jing-Rebecca Li, Try Nguyen Tran, Van-Dang Nguyen
The complex transverse water proton magnetization subject to diffusion-encoding magnetic field gradient pulses in a heterogeneous medium such as brain tissue can be modeled by the…
Convergence of the likelihood ratio method for linear response of non-equilibrium stationary states
Petr Plechac, Gabriel Stoltz, Ting Wang
We consider numerical schemes for computing the linear response of steady-state averages of stochastic dynamics with respect to a perturbation of the drift part of the stochastic d…
An improved analysis and unified perspective on deterministic and randomized low rank matrix approximations
James Demmel, Laura Grigori, Alexander Rusciano
We introduce a Generalized LU-Factorization (\textbf{GLU}) for low-rank matrix approximation. We relate this to past approaches and extensively analyze its approximation properties…
An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms
Victor M. Calo, Alexandre Ern, Ignacio Muga +1
We design and analyze a new adaptive stabilized finite element method. We construct a discrete approximation of the solution in a continuous trial space by minimizing the residual…
Parallel Controllability Methods For the Helmholtz Equation
Marcus J. Grote, Frédéric Nataf, Jet Hoe Tang +1
The Helmholtz equation is notoriously difficult to solve with standard numerical methods, increasingly so, in fact, at higher frequencies. Controllability methods instead transform…