Mark H. Carpenter

Langley Research Center — United States

Engineering · Physical Sciences

43h-index9.0kcitations148works1.82yr avg
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Research Topics

Computational Fluid Dynamics and Aerodynamics(99), Fluid Dynamics and Turbulent Flows(54), Advanced Numerical Methods in Computational Mathematics(49), Numerical methods for differential equations(42), Gas Dynamics and Kinetic Theory(22)

Publications147 total

Singly-Implicit Runge--Kutta Methods for Stiff, Ordinary Differential-Equations
2025Open Access
Machine Learning Explainability for Solid Rocket Motor Simulation Using Shapley Additive ExPlanations
Journal of Aerospace Information Systems·2025
CRUD: Coordinate-Driven, Robust, & Uncertainty-Aware Dynamic Missile Classification
2025
Nonlinear Nonmodal Analysis of Hypersonic Flow over Blunt Cones
AIAA Journal·2024· 5 cited
The harmonic linearized Navier–Stokes equations for transition prediction in three-dimensional flows
Computers & Fluids·2024· 5 cited
A superconvergent stencil-adaptive SBP-SAT finite difference scheme
Journal of Computational Physics·2024· 1 citedOpen Access
A superconvergent stencil-adaptive SBP-SAT finite difference scheme
arXiv (Cornell University)·2023Open Access
Nonlinear Nonmodal Analysis of Hypersonic Flow over Blunt Cones
2023
A Superconvergent Stencil-Adaptive Sbp-Sat Finite Difference Scheme
SSRN Electronic Journal·2023Open Access
Provably stable flux reconstruction high-order methods on curvilinear elements
Journal of Computational Physics·2022· 19 citedOpen Access
Computing Sensitivities in Evolutionary Systems: A Real-Time Reduced Order Modeling Strategy
SIAM Journal on Scientific Computing·2022· 22 cited
Entropy-stable p-nonconforming discretizations with the summation-by-parts property for the compressible Navier–Stokes equations
Computers & Fluids·2020· 21 citedOpen Access
Entropy stable h/p-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier–Stokes equations
Partial Differential Equations and Applications·2020· 29 cited
Accurate solution-adaptive finite difference schemes for coarse and fine grids
Journal of Computational Physics·2020· 5 citedOpen Access
Entropy Stable h/p-Nonconforming Discretization with the Summation-by-Parts Property for the Compressible Euler and Navier-Stokes Equations
arXiv (Cornell University)·2019Open Access
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations
arXiv (Cornell University)·2019· 11 citedOpen Access
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations
arXiv (Cornell University)·2019Open Access
Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids
Journal of Computational Physics·2019· 15 citedOpen Access
Conservative and entropy stable solid wall boundary conditions for the compressible Navier–Stokes equations: Adiabatic wall and heat entropy transfer
Journal of Computational Physics·2019· 34 citedOpen Access
Extension of Tensor-Product Generalized and Dense-Norm Summation-by-Parts Operators to Curvilinear Coordinates
Journal of Scientific Computing·2019· 24 citedOpen Access
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Frequent Co-authors

David Gottlieb(9), Jan Nordström(7), Christopher A. Kennedy(6), David C. Del Rey Fernández(6), Saul Abarbanel(5), Matteo Parsani(5), Travis C. Fisher(4), Eric J. Nielsen(4), Veer N. Vatsa(4), Nail K. Yamaleev(4), Christopher Kennedy(3), H. Bijl(3), Ken Mattsson(3), Steven H. Frankel(2), Magnus Svärd(2), Jay Casper(2), Jared Crean(2), Jason E. Hicken(2), J. Philip Drummond(2), Robert Michael Lewis(1)