# Michael L. Minion

Michael received his Ph.D. in Applied Mathematics from the University of California, Berkeley, in 1994 under the supervision of Prof. Alexandre Chorin. After a post-doctoral position at the Courant Institute, NYU, he joined the faculty in the Department of Mathematics at the University of North Carolina - Chapel Hill, where he remained until 2012. Upon relocating to the Bay Area in 2012, Michael was jointly affiliated with LBNL and the Institute for Computational and Mathematical Engineering at Stanford from 2012-2017. He is currently a Staff Scientist at LBNL and a member of the Scalable Solvers Group.

Read my Biographical Sketch.

## Research Interests

- Adaptive methods for fluid dynamics
- Novel temporal integration schemes for PDEs
- Time Parallel Algorithms (see my page [email protected])
- Real Time-Time Dependent Density Functional Theory
- Some recent Research Highlights

## Journal Articles

### Pietro Benedusi, Michael L Minion, Rolf Krause, "An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem", Computers & Mathematics with Applications, October 1, 2021,

- Download File: Benedusi-Minion-Krause.pdf (pdf: 372 KB)

### Brandon Krull, Michael Minion, "Parallel-In-Time Magnus Integrators", SIAM Journal on Scientific Computing, October 1, 2019,

### M. Zingale, M.P. Katz, J.B. Bell, M.L. Minion, A.J. Nonaka, W. Zhang, "Improved Coupling of Hydrodynamics and Nuclear Reactions via Spectral Deferred Corrections", August 14, 2019,

### Francois P. Hamon, Martin Schreiber, Michael L. Minion, "Parallel-in-Time Multi-Level Integration of the Shallow-Water Equations on the Rotating Sphere", April 12, 2019,

Submitted to Journal of Computational Physics

### Sebastian Götschel , Michael Minion, "An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs", SIAM Journal on Scientific Computing, January 21, 2019,

In submission

### M. Emmett, E. Motheau, W. Zhang, M. Minion, J. B. Bell, "A Fourth-Order Adaptive Mesh Refinement Algorithm for the Multicomponent, Reacting Compressible Navier-Stokes Equations", Combustion Theory and Modeling, 2019,

### Francois P. Hamon, Martin Schreiber, Michael L. Minion, "Multi-Level Spectral Deferred Corrections Scheme for the Shallow Water Equations on the Rotating Sphere", Journal of Computational Physics, January 1, 2019, 376:435-454,

### ML Minion, RI Saye, "Higher-order temporal integration for the incompressible Navier–Stokes equations in bounded domains", Journal of Computational Physics, 2018, 375:797--822, doi: 10.1016/j.jcp.2018.08.054

### FP Hamon, MS Day, ML Minion, "Concurrent implicit spectral deferred correction scheme for low-Mach number combustion with detailed chemistry", Combustion Theory and Modelling, 2018, doi: 10.1080/13647830.2018.1524156

### RW Grout, H Kolla, ML Minion, JB Bell, "Achieving algorithmic resilience for temporal integration through spectral deferred corrections", Communications in Applied Mathematics and Computational Science, 2017, 12:25--50, doi: 10.2140/camcos.2017.12.25

### WE Pazner, A Nonaka, JB Bell, MS Day, ML Minion, "A high-order spectral deferred correction strategy for low Mach number flow with complex chemistry", Combustion Theory and Modelling, 2016, 20:521--547, doi: 10.1080/13647830.2016.1150519

### ML Minion, R Speck, M Bolten, M Emmett, D Ruprecht, "Interweaving pfasst and parallel multigrid", SIAM Journal on Scientific Computing, 2015, 37:S244--SS26, doi: 10.1137/14097536X

### R Speck, D Ruprecht, M Emmett, M Minion, M Bolten, R Krause, "A multi-level spectral deferred correction method", BIT NUMERICAL MATHEMATICS, 2015, 55:843--867, doi: 10.1007/s10543-014-0517-x

### M Emmett, ML Minion, "Efficient Implementation of a Multi-Level Parallel in Time Algorithm", DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XXI, 2014, 98:359--366, doi: 10.1007/978-3-319-05789-7_33

### ML Minion, R Speck, M Bolten, M Emmett, D Ruprecht, "Interweaving PFASST and Parallel Multigrid.", SIAM Journal on Scientific Computing, 2014, abs/1407,

### AS Almgren, AJ Aspden, JB Bell, ML Minion, "On the use of higher-order projection methods for incompressible turbulent flow", SIAM Journal on Scientific Computing, 2013, 35, doi: 10.1137/110829386

### A Nonaka, JB Bell, MS Day, C Gilet, AS Almgren, ML Minion, "A deferred correction coupling strategy for low Mach number flow with complex chemistry", Combustion Theory and Modelling, 2012, 16:1053--1088, doi: 10.1080/13647830.2012.701019

- Download File: LMCSDC.pdf (pdf: 601 KB)

### R. Speck, D. Ruprecht, R. Krause, M. Emmett, M. Minion, M. Winkel, and P. Gibbon, "Integrating an N-body problem with SDC and PFASST", Proceedings of the 21st International Conference on Domain Decomposition Methods, DD21, 2012,

### R Speck, D Ruprecht, R Krause, M Emmett, M Minion, M Winkel, P Gibbon, "A massively space-time parallel N-body solver", 2012 International Conference for High Performance Computing, Networking, Storage and Analysis, 2012, doi: 10.1109/sc.2012.6

### M Emmett, ML Minion, "Toward an efficient parallel in time method for partial differential equations", Communications in Applied Mathematics and Computational Science, 2012, 7:105--132, doi: 10.2140/camcos.2012.7.105

### DL Brown, R Cortez, ML Minion, "Accurate Projection Methods for the Incompressible Navier-Stokes Equations", Journal of Computational Physics, 2001, 168:464--499, doi: 10.1006/jcph.2001.6715

- Download File: BCMIIJCP.pdf (pdf: 281 KB)

### ML Minion, DL Brown, "Performance of under-resolved two-dimensional incompressible flow simulations, II", Journal of Computational Physics, 1997, 138:734--765, doi: 10.1006/jcph.1997.5843

- Download File: underIIJCP.pdf (pdf: 882 KB)

### DL Brown, ML Minion, "Performance of under-resolved two-dimensional incompressible flow simulations", Journal of Computational Physics, 1995, 122:165--183, doi: 10.1006/jcph.1995.1205

- Download File: underjcp.pdf (pdf: 3.2 MB)

## Conference Papers

### Tommaso Buvoli, Michael Minion, "IMEX Runge-Kutta Parareal for Non-diffusive Equations", Springer Proceedings in Mathematics & Statistics, August 25, 2021,

### Sebastian Götschel, Michael Minion, Daniel Ruprecht, Robert Speck, "Twelve Ways To Fool The Masses When Giving Parallel-In-Time Results Authors", Springer Proceedings in Mathematics & Statistics, August 25, 2021,

- Download File: Twelve-Ways.pdf (pdf: 847 KB)