A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov–Poisson equations JA Rossmanith, DC Seal Journal of Computational Physics 230 (16), 6203-6232, 2011 | 202 | 2011 |
High-order multiderivative time integrators for hyperbolic conservation laws DC Seal, Y Güçlü, AJ Christlieb Journal of Scientific Computing 60, 101-140, 2014 | 78 | 2014 |
Explicit strong stability preserving multistage two-derivative time-stepping schemes AJ Christlieb, S Gottlieb, Z Grant, DC Seal Journal of Scientific Computing 68, 914-942, 2016 | 50 | 2016 |
A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations AJ Christlieb, X Feng, DC Seal, Q Tang http://arxiv.org/abs/1509.09208, 2015 | 36 | 2015 |
An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations DC Seal, Q Tang, Z Xu, AJ Christlieb http://arxiv.org/abs/1411.0328, 2014 | 30 | 2014 |
Positivity-preserving discontinuous Galerkin methods with Lax–Wendroff time discretizations SA Moe, JA Rossmanith, DC Seal Journal of Scientific Computing 71, 44-70, 2017 | 28 | 2017 |
A strong stability preserving analysis for explicit multistage two-derivative time-stepping schemes based on Taylor series conditions Z Grant, S Gottlieb, DC Seal Communications on Applied Mathematics and Computation 1, 21-59, 2019 | 27 | 2019 |
Method of Lines Transpose: High Order L-Stable Schemes for Parabolic Equations Using Successive Convolution MF Causley, H Cho, AJ Christlieb, DC Seal SIAM Journal on Numerical Analysis 54 (3), 1635-1652, 2016 | 26 | 2016 |
On the convergence of spectral deferred correction methods M Causley, D Seal Communications in Applied Mathematics and Computational Science 14 (1), 33-64, 2019 | 24 | 2019 |
A simple and effective high-order shock-capturing limiter for discontinuous Galerkin methods SA Moe, JA Rossmanith, DC Seal arXiv preprint arXiv:1507.03024, 2015 | 20 | 2015 |
Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations J Schütz, DC Seal, A Jaust Journal of Scientific Computing 73, 1145-1163, 2017 | 18 | 2017 |
The Picard integral formulation of weighted essentially nonoscillatory schemes AJ Christlieb, Y Guclu, DC Seal SIAM Journal on Numerical Analysis 53 (4), 1833-1856, 2015 | 18* | 2015 |
Discontinuous Galerkin methods for Vlasov models of plasma DC Seal Ph. D. Thesis, 2012 | 15 | 2012 |
An asymptotic preserving semi-implicit multiderivative solver J Schütz, DC Seal Applied Numerical Mathematics 160, 84-101, 2021 | 14 | 2021 |
Implicit multistage two-derivative discontinuous Galerkin schemes for viscous conservation laws A Jaust, J Schütz, DC Seal Journal of Scientific Computing 69, 866-891, 2016 | 14 | 2016 |
Parallel-in-time high-order multiderivative IMEX solvers J Schütz, DC Seal, J Zeifang Journal of Scientific Computing 90 (1), 54, 2022 | 10 | 2022 |
Stability of implicit multiderivative deferred correction methods J Zeifang, J Schütz, DC Seal BIT Numerical Mathematics 62 (4), 1487-1503, 2022 | 8 | 2022 |
An explicitness-preserving IMEX-split multiderivative method E Theodosiou, J Schütz, D Seal Computers & Mathematics with Applications 158, 139-149, 2024 | 2 | 2024 |
Multiderivative time-integrators for the hybridized discontinuous Galerkin method A Jaust, J Schütz, D Seal Proceedings to YIC GACM 2015, 2015 | 2 | 2015 |
Erratum to: Explicit Strong Stability Preserving Multistage Two-Derivative Time-Stepping Schemes AJ Christlieb, S Gottlieb, Z Grant, DC Seal Journal of Scientific Computing 68, 943-944, 2016 | | 2016 |