Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis

Experimental Evidence of Hydrodynamic Instantons: The Universal Route to Rogue Waves

(2019) Giovanni Dematteis et al.   Physical Review X

Defining megathrust tsunami source scenarios for northernmost Cascadia

(2018) Dawei Gao et al.   NATURAL HAZARDS

Rogue waves and large deviations in deep sea

(2018) Giovanni Dematteis et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

New perspectives for the prediction and statistical quantification of extreme events in high-dimensional dynamical systems

(2018) Themistoklis P. Sapsis   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

OUP accepted manuscript

(2017)   IMA JOURNAL OF NUMERICAL ANALYSIS

A variational approach to probing extreme events in turbulent dynamical systems

(2017) Mohammad Farazmand et al.   Science Advances

Time optimal control of the monodomain model in cardiac electrophysiology

(2015) K. Kunisch et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Discretely Exact Derivatives for Hyperbolic PDE-Constrained Optimization Problems Discretized by the Discontinuous Galerkin Method

(2014) Lucas C. Wilcox et al.   JOURNAL OF SCIENTIFIC COMPUTING

A-Optimal Design of Experiments for Infinite-Dimensional Bayesian Linear Inverse Problems with Regularized $\ell_0$-Sparsification

(2014) Alen Alexanderian et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A Computational Framework for Infinite-Dimensional Bayesian Inverse Problems Part I: The Linearized Case, with Application to Global Seismic Inversion

(2013) Tan Bui-Thanh et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Rare Event Simulation of Small Noise Diffusions

(2012) Eric Vanden-Eijnden et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

The 2011 Tohoku-Oki Earthquake: Displacement Reaching the Trench Axis

(2011) T. Fujiwara et al.   SCIENCE

Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions

(2011) N. Halko et al.   SIAM REVIEW

Convergence of Linearized and Adjoint Approximations for Discontinuous Solutions of Conservation Laws. Part 2: Adjoint Approximations and Extensions

(2010) Mike Giles et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS