Qiqi Wang

SIAM J. Sci. Comput., October, 2022

A Trajectory-Driven Algorithm for Differentiating SRB Measures on Unstable Manifolds.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2022

Efficient Computation of Linear Response of Chaotic Attractors with One-Dimensional Unstable Manifolds.

[BibT_eX]

[DOI]

Nisha Chandramoorthy

SIAM J. Appl. Dyn. Syst., 2022

A Hierarchical Jacobi Iteration for Structured Matrices on GPUs using Shared Memory.

[BibT_eX]

[DOI]

Mohammad Shafaet Islam

Proceedings of the IEEE High Performance Extreme Computing Conference, 2022

2021

On the probability of finding nonphysical solutions through shadowing.

[BibT_eX]

[DOI]

Nisha Chandramoorthy

J. Comput. Phys., 2021

Scheduled Relaxation Jacobi schemes for non-elliptic partial differential equations.

[BibT_eX]

[DOI]

Mohammad Shafaet Islam

CoRR, 2021

Aerodynamic Risk Assessment using Parametric, Three-Dimensional Unstructured, High-Fidelity CFD and Adaptive Sampling.

[BibT_eX]

[DOI]

Runda Ji

CoRR, 2021

Computational assessment of smooth and rough parameter dependence of statistics in chaotic dynamical systems.

[BibT_eX]

[DOI]

Nisha Chandramoorthy

Commun. Nonlinear Sci. Numer. Simul., 2021

Differentiating densities on smooth manifolds.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2021

2020

A data driven heuristic for rapid convergence of general Scheduled Relaxation Jacobi (SRJ) schemes.

[BibT_eX]

[DOI]

Mohammad Shafaet Islam

CoRR, 2020

2019

A two-level computational graph method for the adjoint of a finite volume based compressible unsteady flow solver.

[BibT_eX]

[DOI]

Chaitanya Talnikar

Parallel Comput., 2019

Sensitivity analysis on chaotic dynamical systems by Finite Difference Non-Intrusive Least Squares Shadowing (FD-NILSS).

[BibT_eX]

[DOI]

J. Comput. Phys., 2019

Toward computing sensitivities of average quantities in turbulent flows.

[BibT_eX]

[DOI]

CoRR, 2019

2018

Multiple shooting shadowing for sensitivity analysis of chaotic dynamical systems.

[BibT_eX]

[DOI]

J. Comput. Phys., 2018

2017

Least Squares Shadowing Method for Sensitivity Analysis of Differential Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2017

Multigrid-in-time for sensitivity analysis of chaotic dynamical systems.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2017

Sensitivity analysis on chaotic dynamical systems by Non-Intrusive Least Squares Shadowing (NILSS).

[BibT_eX]

[DOI]

Angxiu Ni

J. Comput. Phys., 2017

A framework for simultaneous aerodynamic design optimization in the presence of chaos.

[BibT_eX]

[DOI]

Stefanie Günther

Nicolas R. Gauger

J. Comput. Phys., 2017

Lyapunov spectrum of the separated flow around the NACA 0012 airfoil and its dependence on numerical discretization.

[BibT_eX]

[DOI]

Pablo Fernández

J. Comput. Phys., 2017

Simplified Least Squares Shadowing sensitivity analysis for chaotic ODEs and PDEs.

[BibT_eX]

[DOI]

Mario Chater

Angxiu Ni

J. Comput. Phys., 2017

2016

The swept rule for breaking the latency barrier in time advancing PDEs.

[BibT_eX]

[DOI]

Maitham Makki Alhubail

J. Comput. Phys., 2016

Simultaneous single-step one-shot optimization with unsteady PDEs.

[BibT_eX]

[DOI]

Stefanie Günther

Nicolas R. Gauger

J. Comput. Appl. Math., 2016

Sensitivity analysis on chaotic dynamical system by Non-Intrusive Least Square Shadowing (NILSS).

[BibT_eX]

[DOI]

Angxiu Ni

CoRR, 2016

The swept rule for breaking the latency barrier in time advancing two-dimensional PDEs.

[BibT_eX]

[DOI]

Maitham Makki Alhubail

John Williams

CoRR, 2016

2015

Optimization of Gaussian Random Fields.

[BibT_eX]

[DOI]

Eric Dow

SIAM J. Sci. Comput., 2015

2014

Erratum: Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces.

[BibT_eX]

[DOI]

Paul G. Constantine

Eric Dow

SIAM J. Sci. Comput., 2014

Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces.

[BibT_eX]

[DOI]

Paul G. Constantine

Eric Dow

SIAM J. Sci. Comput., 2014

Convergence of the Least Squares Shadowing Method for Computing Derivative of Ergodic Averages.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2014

Least Squares Shadowing sensitivity analysis of chaotic limit cycle oscillations.

[BibT_eX]

[DOI]

Rui Hu

J. Comput. Phys., 2014

Probability density adjoint for sensitivity analysis of the Mean of Chaos.

[BibT_eX]

[DOI]

J. Comput. Phys., 2014

2013

Forward and adjoint sensitivity computation of chaotic dynamical systems.

[BibT_eX]

[DOI]

J. Comput. Phys., 2013

2012

Residual Minimizing Model Interpolation for Parameterized Nonlinear Dynamical Systems.

[BibT_eX]

[DOI]

Paul G. Constantine

SIAM J. Sci. Comput., 2012

A Conservative Mesh-Free Scheme and Generalized Framework for Conservation Laws.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2012

Sensitivity analysis of limit cycle oscillations.

[BibT_eX]

[DOI]

J. Comput. Phys., 2012

2010

A Rational Interpolation Scheme with Superpolynomial Rate of Convergence.

[BibT_eX]

[DOI]

Parviz Moin

Gianluca Iaccarino

SIAM J. Numer. Anal., 2010

A high order multivariate approximation scheme for scattered data sets.

[BibT_eX]

[DOI]

Parviz Moin

Gianluca Iaccarino

J. Comput. Phys., 2010

2009

Minimal Repetition Dynamic Checkpointing Algorithm for Unsteady Adjoint Calculation.

[BibT_eX]

[DOI]