Southworth, Ben S.
- Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part II: nonlinearities and DAEs
2021/01/05 by Southworth, Ben S., Krzysik, Oliver, Pazner, Will · 6 citations
#Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA)
- Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs, Part I: the linear setting
2021/01/02 by Ben S. Southworth, Oliver A. Krzysik, Southworth, Ben S. +5 · 6 citations
Mathematics · Engineering · #Numerical methods for differential equations #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods
- Convergence in Norm of Nonsymmetric Algebraic Multigrid
2018/06/12 by Ben S. Southworth, Thomas A. Manteuffel, Southworth, Ben S. +1 · 4 citations
Computer Science · Engineering · #65F08 #65F10 #65N55 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
- Multilevel convergence analysis of multigrid-reduction-in-time
2018/12/30 by Hessenthaler, Andreas, Southworth, Ben S., Nordsletten, David +3 · 3 citations
#FOS: Mathematics #Numerical Analysis (math.NA)
- Necessary Conditions and Tight Two-level Convergence Bounds for Parareal\n and Multigrid Reduction in Time
2018/10/16 by Ben S. Southworth, Southworth, Ben S. · 2 citations
Engineering · Mathematics · #65F10 65M55 65M12 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
- The Role of Energy Minimization in Algebraic Multigrid Interpolation
2019/02/13 by James Brannick, Scott MacLachlan, Brannick, James +5 · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations
- One-sweep moment-based semi-implicit-explicit integration for gray thermal radiation transport
2024/01/08 by Ben S. Southworth, Samuel Olivier, Southworth, Ben S. +5 · 2 citations
Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Numerical Analysis (math.NA)
- Parallel Approximate Ideal Restriction Multigrid for Solving the SN\n Transport Equations
2019/10/24 by Joshua Hanophy, Ben S. Southworth, Hanophy, Joshua +7 · 1 citation
Computer Science · Engineering · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Matrix Theory and Algorithms
- Space-time block preconditioning for incompressible flow
2021/01/18 by Danieli, Federico, Southworth, Ben S., Wathen, Andrew J. · 1 citation
#65F08 #65M60 #65Y05 #76D07 #FOS: Mathematics #Numerical Analysis (math.NA)
- Weighted Relaxation for Multigrid Reduction in Time
2021/07/05 by Masumi Sugiyama, Sugiyama, Masumi, Jacob B. Schroder +5 · 1 citation
Computer Science · Engineering · Mathematics · #65F10 #65M55 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations
- An algebraic preconditioner for the exactly divergence-free discontinuous Galerkin method for Stokes
2022/03/28 by Sander Rhebergen, Rhebergen, Sander, Ben S. Southworth +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations
- Generalized Optimal AMG Convergence Theory for Nonsymmetric and Indefinite Problems
2024/01/20 by Ahsan Ali, Ali, Ahsan, James Brannick +9 · 2 citations
Computer Science · Engineering · Mathematics · #65F08 #65F10 #65N22 #65N55 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Tensor decomposition and applications
- Multiscale approximation and two-grid preconditioner for extremely anisotropic heat flow
2024/12/11 by Maria Vasilyeva, Golo A. Wimmer, Vasilyeva, Maria +3 · 2 citations
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics #FOS: Mathematics #Numerical Analysis (math.NA)
- Physics consistent machine learning framework for inverse modeling with applications to ICF capsule implosions
2024/12/28 by Daniel A. Serino, Evan Bell, Serino, Daniel A. +11 · 3 citations
Engineering · Medicine · Physics and Astronomy · #Combustion and Detonation Processes #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Laser-Plasma Interactions and Diagnostics #Machine Learning (cs.LG) #Traumatic Ocular and Foreign Body Injuries
- A New Class of Runge-Kutta Methods for Nonlinearly Partitioned Systems
2024/01/10 by Buvoli, Tommaso, Southworth, Ben S. · 2 citations
#65L05 #65L06 #65L20 #FOS: Mathematics #Numerical Analysis (math.NA)
- On Compatible Transfer Operators in Nonsymmetric Algebraic Multigrid
2023/07/12 by Ben S. Southworth, Thomas A. Manteuffel, Southworth, Ben S. +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations #Polynomial and algebraic computation
- Moment-based adaptive time integration for thermal radiation transport
2025/01/28 by Ben S. Southworth, Southworth, Ben S., S. Roberts +4 · 1 citation
Engineering · Physics and Astronomy · #FOS: Mathematics #Model Reduction and Neural Networks #Nuclear reactor physics and engineering #Numerical Analysis (math.NA)
- Multirate Runge-Kutta for Nonlinearly Partitioned Systems
2025/04/04 by Tommaso Buvoli, Brian K. Tran, Buvoli, Tommaso +3 · 2 citations
Agricultural and Biological Sciences · Computer Science · Engineering · #65L05 #65L06 #65L20 #65M22 #Advanced Scientific Research Methods #Cybersecurity and Information Systems #FOS: Mathematics #Numerical Analysis (math.NA) #Stability and Control of Uncertain Systems