Performance and scalability of the block low-rank multifrontal factorization on multicore architectures

PR Amestoy, A Buttari, JY L'excellent… - ACM Transactions on …, 2019 - dl.acm.org
Matrices coming from elliptic Partial Differential Equations have been shown to have a low-
rank property that can be efficiently exploited in multifrontal solvers to provide a substantial …

[BOOK][B] Evaluation Complexity of Algorithms for Nonconvex Optimization: Theory, Computation and Perspectives

C Cartis, NIM Gould, PL Toint - 2022 - SIAM
Do you know the difference between an optimist and a pessimist? The former believes we
live in the best possible world, and the latter is afraid that the former might be right.… In that …

For how large soil shear wave velocity the soil-structure interaction effects on a tall building can be neglected?–A case study

L Cruz, MI Todorovska, M Chen, MD Trifunac… - Soil Dynamics and …, 2024 - Elsevier
The soil-structure interaction (SSI) effects are typically ignored in modeling and analyses of
the seismic response of tall buildings. This paper presents an in-depth investigation of the …

Two-stage approach to parameter estimation of differential equations using neural odes

W Bradley, F Boukouvala - Industrial & Engineering Chemistry …, 2021 - ACS Publications
Modeling physiochemical relationships using dynamic data is a common task in fields
throughout science and engineering. A common step in develo** generalizable …

Block Low-Rank multifrontal solvers: complexity, performance, and scalability

T Mary - 2017 - theses.hal.science
We investigate the use of low-rank approximations to reduce the cost of sparsedirect
multifrontal solvers. Among the different matrix representations that havebeen proposed to …

On the complexity of the block low-rank multifrontal factorization

P Amestoy, A Buttari, JY L'Excellent, T Mary - SIAM Journal on Scientific …, 2017 - SIAM
Matrices coming from elliptic partial differential equations have been shown to have a low-
rank property: well-defined off-diagonal blocks of their Schur complements can be …

Mathematical cancer therapy planning in deep regional hyperthermia

P Deuflhard, A Schiela, M Weiser - Acta Numerica, 2012 - cambridge.org
This paper surveys the mathematics required for a typically challenging problem from
computational medicine: cancer therapy planning in deep regional hyperthermia. In the …

The role of the foundation flexibility on the seismic response of a modern tall building: Vertically incident plane waves

L Cruz, MI Todorovska, M Chen, MD Trifunac… - Soil Dynamics and …, 2024 - Elsevier
The soil-structure interaction (SSI) is an integral part of the seismic response of structures.
The knowledge about its effects is based largely on numerical simulations involving …

Parallel approximation of the maximum likelihood estimation for the prediction of large-scale geostatistics simulations

S Abdulah, H Ltaief, Y Sun, MG Genton… - … conference on cluster …, 2018 - ieeexplore.ieee.org
Maximum likelihood estimation is an important statistical technique for estimating missing
data, for example in climate and environmental applications, which are usually large and …

[BOOK][B] Adaptive numerical solution of PDEs

P Deuflhard, M Weiser - 2012 - books.google.com
This book deals with the general topic “Numerical solution of partial differential equations
(PDEs)” with a focus on adaptivity of discretizations in space and time. By and large …