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20092026
most citedFederated Learning: Strategies for Improving Communication Efficiency

3k citations

Showing 2017 · math.NAShow all

8 papers · 2 filters

math.NA2017★ 7 cited

Parallel accelerated cyclic reduction preconditioner for three-dimensional elliptic PDEs with variable coefficients

Gustavo Chávez, George Turkiyyah, Stefano Zampini +1

We present a robust and scalable preconditioner for the solution of large-scale linear systems that arise from the discretization of elliptic PDEs amenable to rank compression. The…

math.NA2017★ 3 cited

Linearly decoupled energy-stable numerical methods for multi-component two-phase compressible flow

Jisheng Kou, Shuyu Sun, Xiuhua Wang

In this paper, for the first time we propose two linear, decoupled, energy-stable numerical schemes for multi-component two-phase compressible flow with a realistic equation of sta…

math.NA2017★ 37 cited

Thermodynamically consistent simulation of nonisothermal diffuse-interface two-phase flow with Peng-Robinson equation of state

Jisheng Kou, Shuyu Sun

In this paper, we consider a diffuse-interface gas-liquid two-phase flow model with inhomogeneous temperatures, in which we employ the Peng-Robinson equation of state and the tempe…

math.NA2017★ 79 cited

Fast Bayesian experimental design: Laplace-based importance sampling for the expected information gain

Joakim Beck, Ben Mansour Dia, Luis FR Espath +2

In calculating expected information gain in optimal Bayesian experimental design, the computation of the inner loop in the classical double-loop Monte Carlo requires a large number…

math.NA2017

Particle Simulation of Fractional Diffusion Equations

S. Allouch, M. Lucchesi, O. P. Le Maître +2

This work explores different particle-based approaches to the simulation of one-dimensional fractional subdiffusion equations in unbounded domains. We rely on smooth particle appro…

math.NA2017★ 5 cited

A sparse-grid isogeometric solver

Joakim Beck, Giancarlo Sangalli, Lorenzo Tamellini

Isogeometric Analysis (IGA) typically adopts tensor-product splines and NURBS as a basis for the approximation of the solution of PDEs. In this work, we investigate to which extent…

math.NA2017★ 9 cited

Hybrid collocation perturbation for PDEs with random domains

Julio E. Castrillon-Candas, Fabio Nobile, Raul F. Tempone

In this work we consider the problem of approximating the statistics of a given Quantity of Interest (QoI) that depends on the solution of a linear elliptic PDE defined over a rand…

math.NA2017

Smolyak's algorithm: A powerful black box for the acceleration of scientific computations

Raul Tempone, Soeren Wolfers

We provide a general discussion of Smolyak's algorithm for the acceleration of scientific computations. The algorithm first appeared in Smolyak's work on multidimensional integrati…