Constraint Preconditioning for the Coupled Stokes--Darcy System

JOURNAL ARTICLE published January 2016 in SIAM Journal on Scientific Computing

Research funded by National Science Foundation (DMS-1115520,DMS-1418882,DMS-1115269)

Authors: Prince Chidyagwai | Scott Ladenheim | Daniel B. Szyld

An Ensemble Kalman Filter Implementation Based on Modified Cholesky Decomposition for Inverse Covariance Matrix Estimation

JOURNAL ARTICLE published January 2018 in SIAM Journal on Scientific Computing

Research funded by Air Force Office of Scientific Research (FA9550-12-1-0293-DEF) | National Science Foundation (CCF-1218454)

Authors: Elias D. Nino-Ruiz | Adrian Sandu | Xinwei Deng

Efficient Characterization of Uncertain Model Parameters with a Reduced-Order Ensemble Kalman Filter

JOURNAL ARTICLE published January 2014 in SIAM Journal on Scientific Computing

Authors: Binghuai Lin | Dennis McLaughlin

Multigrid Solvers for the de Rham Complex with Optimal Complexity in Polynomial Degree

JOURNAL ARTICLE published 30 June 2024 in SIAM Journal on Scientific Computing

Research funded by Engineering and Physical Sciences Research Council (EP/V001493/1,EP/R029423/1)

Authors: Pablo D. Brubeck | Patrick E. Farrell

Shifted Cholesky QR for Computing the QR Factorization of Ill-Conditioned Matrices

JOURNAL ARTICLE published January 2020 in SIAM Journal on Scientific Computing

Authors: Takeshi Fukaya | Ramaseshan Kannan | Yuji Nakatsukasa | Yusaku Yamamoto | Yuka Yanagisawa

Convergence of Nonconvergent IRK Discretizations of Optimal Control Problems with State Inequality Constraints

JOURNAL ARTICLE published January 2002 in SIAM Journal on Scientific Computing

Authors: J. T. Betts | N. Biehn | S. L. Campbell

A Rational Krylov Method Based on Hermite Interpolation for Nonlinear Eigenvalue Problems

JOURNAL ARTICLE published January 2013 in SIAM Journal on Scientific Computing

Authors: Roel Van Beeumen | Karl Meerbergen | Wim Michiels

A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes

JOURNAL ARTICLE published January 2008 in SIAM Journal on Scientific Computing

Authors: Zhiqiang Sheng | Guangwei Yuan

An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps

JOURNAL ARTICLE published 30 June 2023 in SIAM Journal on Scientific Computing

Research funded by Sandia National Laboratories (218318,DE-NA0003525)

Authors: Christian Glusa | Marta D’Elia | Giacomo Capodaglio | Max Gunzburger | Pavel B. Bochev

Parallel One-Shot Lagrange--Newton--Krylov--Schwarz Algorithms for Shape Optimization of Steady Incompressible Flows

JOURNAL ARTICLE published January 2012 in SIAM Journal on Scientific Computing

Authors: Rongliang Chen | Xiao-Chuan Cai

Generative Ensemble Regression: Learning Particle Dynamics from Observations of Ensembles with Physics-informed Deep Generative Models

JOURNAL ARTICLE published February 2022 in SIAM Journal on Scientific Computing

Research funded by PhILMS (DE-SC0019453) | Air Force Office of Scientific Research (FA9550-20-1-0358)

Authors: Liu Yang | Constantinos Daskalakis | George E. Karniadakis

A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations

JOURNAL ARTICLE published January 2019 in SIAM Journal on Scientific Computing

Research funded by Oak Ridge National Laboratory (DE-AC05-06OR23100) | Oak Ridge National Laboratory (DE-AC05-00OR22725) | U.S. Department of Energy (DE-AC0500OR22725)

Authors: M. Paul Laiu | Martin Frank | Cory D. Hauck

A Higher Order Moment Preserving Reduction Scheme for the Stochastic Weighted Particle Method

JOURNAL ARTICLE published January 2020 in SIAM Journal on Scientific Computing

Authors: Sonam Lama | John Zweck | Matthew Goeckner

Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws

JOURNAL ARTICLE published January 2007 in SIAM Journal on Scientific Computing

Authors: Alexander Kurganov | Guergana Petrova | Bojan Popov

Positive $P_N$ Closures

JOURNAL ARTICLE published January 2010 in SIAM Journal on Scientific Computing

Authors: Cory Hauck | Ryan McClarren

Evolution of Nonlinear Reduced-Order Solutions for PDEs with Conserved Quantities

JOURNAL ARTICLE published February 2022 in SIAM Journal on Scientific Computing

Authors: William Anderson | Mohammad Farazmand

High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations

JOURNAL ARTICLE published January 2016 in SIAM Journal on Scientific Computing

Research funded by China Postdoctoral Science Foundation (2014M560918) | Air Force Office of Scientific Research (F49550-12-1-0399) | National Natural Science Foundation of China (11261040,11471049,91130002) | National Science Foundation (DMS-1418750)

Authors: Daming Yuan | Juan Cheng | Chi-Wang Shu

Multilevel Spectral Domain Decomposition

JOURNAL ARTICLE published June 2023 in SIAM Journal on Scientific Computing

Research funded by Deutsche Forschungsgemeinschaft (EXC 2181/1-390900948)

Authors: Peter Bastian | Robert Scheichl | Linus Seelinger | Arne Strehlow

A Framework for Mimetic Discretization of the Rotating Shallow-Water Equations on Arbitrary Polygonal Grids

JOURNAL ARTICLE published January 2012 in SIAM Journal on Scientific Computing

Authors: J. Thuburn | C. J. Cotter

A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation

JOURNAL ARTICLE published January 2014 in SIAM Journal on Scientific Computing

Authors: Xuan Zhao | Zhi-zhong Sun | Zhao-peng Hao