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08/23/2023
Adversarial Training Using Feedback Loops
Deep neural networks (DNN) have found wide applicability in numerous fie...
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06/07/2023
Symplectic multirate generalized additive Runge-Kutta methods for Hamiltonian systems
Generalized additive Runge-Kutta (GARK) schemes have shown to be a suita...
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11/23/2022
A Two-Level Galerkin Reduced Order Model for the Steady Navier-Stokes Equations
We propose, analyze, and investigate numerically a novel two-level Galer...
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10/21/2022
The Model Forest Ensemble Kalman Filter
Traditional data assimilation uses information obtained from the propaga...
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07/14/2022
A Meta-learning Formulation of the Autoencoder Problem
A rapidly growing area of research is the use of machine learning approa...
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05/06/2022
Physics-informed neural networks for PDE-constrained optimization and control
A fundamental problem of science is designing optimal control policies t...
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01/20/2022
Eliminating Order Reduction on Linear, Time-Dependent ODEs with GARK Methods
When applied to stiff, linear differential equations with time-dependent...
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11/27/2021
Ensemble Variational Fokker-Planck Methods for Data Assimilation
Particle flow filters that smoothly transform particles from being sampl...
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11/16/2021
Adjoint-Matching Neural Network Surrogates for Fast 4D-Var Data Assimilation
The data assimilation procedures used in many operational numerical weat...
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09/20/2021
A Stochastic Covariance Shrinkage Approach to Particle Rejuvenation in the Ensemble Transform Particle Filter
Rejuvenation in particle filters is necessary to prevent the collapse of...
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08/27/2021
Investigation of Nonlinear Model Order Reduction of the Quasigeostrophic Equations through a Physics-Informed Convolutional Autoencoder
Reduced order modeling (ROM) is a field of techniques that approximates ...
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03/06/2021
Symplectic GARK methods for Hamiltonian systems
Generalized Additive Runge-Kutta schemes have shown to be a suitable too...
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03/01/2021
A unified formulation of splitting-based implicit time integration schemes
Splitting-based time integration approaches such as fractional steps, al...
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02/25/2021
Multifidelity Ensemble Kalman Filtering using surrogate models defined by Physics-Informed Autoencoders
The multifidelity ensemble Kalman filter aims to combine a full-order mo...
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02/19/2021
Multirate Linearly-Implicit GARK Schemes
Many complex applications require the solution of initial-value problems...
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11/21/2020
Linearly Implicit Multistep Methods for Time Integration
Time integration methods for solving initial value problems are an impor...
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11/07/2020
A fast time-stepping strategy for ODE systems equipped with a surrogate model
Simulation of complex dynamical systems arising in many applications is ...
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08/04/2020
Linearly implicit GARK schemes
Systems driven by multiple physical processes are central to many areas ...
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07/01/2020
A Multifidelity Ensemble Kalman Filter with Reduced Order Control Variates
This work develops a new multifidelity ensemble Kalman filter (MFEnKF) a...
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04/08/2020
Convergence Results for Implicit–Explicit General Linear Methods
This paper studies fixed-step convergence of implicit-explicit general l...
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03/29/2020
An Explicit Probabilistic Derivation of Inflation in a Scalar Ensemble Kalman Filter for Finite Step, Finite Ensemble Convergence
This paper uses a probabilistic approach to analyze the converge of an e...
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02/29/2020
A Stochastic Covariance Shrinkage Approach in Ensemble Transform Kalman Filtering
Operational Ensemble Kalman Filtering (EnKF) methods rely on model-speci...
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02/03/2020
Parallel implicit-explicit general linear methods
High-order discretizations of partial differential equations (PDEs) nece...
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01/23/2020
Goal-oriented a posteriori estimation of numerical errors in the solution of multiphysics systems
This paper develops a general methodology for a posteriori error estimat...
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12/02/2019
Efficient implementation of partitioned stiff exponential Runge-Kutta methods
Multiphysics systems are driven by multiple processes acting simultaneou...
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10/30/2019
Implicit multirate GARK methods
This work considers multirate generalized-structure additively partition...
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10/06/2019
Adaptive Krylov-Type Time Integration Methods
The Rosenbrock-Krylov family of time integration schemes is an extension...
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08/28/2019
Biorthogonal Rosenbrock-Krylov time discretization methods
Many scientific applications require the solution of large initial-value...
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08/26/2019
Partitioned Exponential Methods for Coupled Multiphysics Systems
Multiphysics problems involving two or more coupled physical phenomena a...
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02/02/2019
Alternating Directions Implicit Integration in a General Linear Method Framework
Alternating Directions Implicit (ADI) integration is an operator splitti...
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01/14/2019
ODE Test Problems: a MATLAB suite of initial value problems
ODE Test Problems (OTP) is an object-oriented MATLAB package offering a ...
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11/30/2018
Coupled Multirate Infinitesimal GARK Schemes for Stiff Systems with Multiple Time Scales
Differential equations derived from many real-world applications are dom...
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09/24/2018
A Bayesian Approach to Multivariate Adaptive Localization in Ensemble-Based Data Assimilation with Time-Dependent Extensions
Ever since its inception, the Ensemble Kalman Filter has elicited many h...
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08/07/2018
A Class of Multirate Infinitesimal GARK Methods
Differential equations arising in many practical applications are charac...
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04/20/2018
Design of High-Order Decoupled Multirate GARK Schemes
Multirate time integration methods apply different step sizes to resolve...
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02/20/2018
A Learning Based Approach for Uncertainty Analysis in Numerical Weather Prediction Models
Complex numerical weather prediction models incorporate a variety of phy...
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01/02/2018
A Machine Learning Approach to Adaptive Covariance Localization
Data assimilation plays a key role in large-scale atmospheric weather fo...
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04/19/2017
DATeS: A Highly-Extensible Data Assimilation Testing Suite v1.0
A flexible and highly-extensible data assimilation testing suite, named ...
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04/19/2017
DATeS: A Highly-Extensible Data Assimilation Testing Suite
A flexible and highly-extensible data assimilation testing suite, named ...
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04/09/2017
Solving Parameter Estimation Problems with Discrete Adjoint Exponential Integrators
The solution of inverse problems in a variational setting finds best est...
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01/23/2017
EPIRK-W and EPIRK-K time discretization methods
Exponential integrators are special time discretization methods where th...
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01/13/2017
Multivariate predictions of local reduced-order-model errors and dimensions
This paper introduces multivariate input-output models to predict the er...
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11/05/2015