Refereed Research Articles
W.A. Sands, J.-M. Qiu, D.P. Hayes, N. Zheng. “An adaptive-rank approach with greedy sampling for multi-scale BGK equations.” Journal of Computational Physics, 547: 114523 (2026)
W.A. Sands, W. Guo, J.-M. Qiu, and T. Xiong. “High-order adaptive rank integrators for multi-scale linear kinetic transport equations in the hierarchical Tucker format.” SIAM Journal on Scientific Computing, 47(6) (2025)
A.J. Christlieb, W.A. Sands\(^{\ast}\), and S.R. White. “A particle-in-cell method for plasmas with a generalized momentum formulation: part III, a family of gauge-conserving methods.” Journal of Scientific Computing, 104(38) (2025)
A.J. Christlieb, W.A. Sands\(^{\dagger,\ast}\), and S.R. White. “A particle-in-cell method for plasmas with a generalized momentum formulation, part I: model formulation.” Journal of Scientific Computing, 103(15) (2025)
A.J. Christlieb, W.A. Sands\(^{\dagger,\ast}\), and S.R. White. “A particle-in-cell method for plasmas with a generalized momentum formulation: part II, enforcing the Lorenz gauge condition.” Journal of Scientific Computing, 101(73) (2024)
G. Alabandi, W. Sands, G. Biros, and M. Burtscher, “A GPU algorithm for detecting strongly connected components.” Proceedings of the 2023 ACM/IEEE International Conference for High Performance Computing, Networking, Storage, and Analysis, 17: 1–13 (2023)
A.J. Christlieb, W.A. Sands\(^{\ast}\), and H. Yang. “Order enhanced finite volume methods through non-polynomial approximation.” Journal of Computational Physics, 478: 111960 (2023)
A.J. Christlieb, P.T. Guthrey, W.A. Sands\(^{\dagger,\ast}\), and M. Thavappiragasam. “Parallel algorithms for successive convolution.” Journal of Scientific Computing, 86(1) (2021)
A. Christlieb, W. Sands\(^{\ast}\), and H. Yang. “A kernel-based explicit unconditionally stable scheme for Hamilton-Jacobi equations on nonuniform meshes.” Journal of Computational Physics, 415: 1–25 (2020)
S. Forcey, L. Keefe, and W. Sands\(^{\ast}\). “Split-facets for Balanced Minimal Evolution polytopes and the Permutoassociahedron.” Bulletin of Mathematical Biology, 79(5): 975–994 (2017)
S. Forcey, L. Keefe, and W. Sands\(^{\ast}\). “Facets of the Balanced Minimal Evolution polytope.” Journal of Mathematical Biology, 73(2): 447–468 (2016)
Books
- S. Forcey, G. Hamerlinck, and W. Sands\(^{\ast}\). “Optimization problems in phylogenetics: polytopes, programming and interpretation.” In R. Robeva and M. Macauley (Eds.), Algebraic and Combinatorial Computational Biology. Elsevier, first edition (2018)
Preprints
- N. Zheng, W.A. Sands\(^{\dagger}\), D.P. Hayes, A.J. Christlieb, and J.-M. Qiu. “A semi-Lagrangian adaptive rank (SLAR) method for high-dimensional Vlasov dynamics.” arXiv:2510.24861 (submitted)
Other Published Work
W.A. Sands. “Numerical methods for the evolution of fields with applications to plasmas.” Ph.D. dissertation, Michigan State University, 2022
W.A. Sands. “Phylogenetic Inference Using a Discrete-Integer Linear Programming Model.” M.S. thesis, University of Akron, 2017
\(\dagger\) Corresponding author; \(\ast\) Authors listed alphabetically