Mark H. Carpenter
Mark H. Carpenter
Sr. Research Scientist, NASA Langley Research Center
Verified email at nasa.gov
TitleCited byYear
Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and application to high-order compact schemes
MH Carpenter, D Gottlieb, S Abarbanel
Journal of Computational Physics 111 (2), 220-236, 1994
6291994
Additive Runge-Kutta Schemes for Convection-Diffusion-Reaction Equations
CAKMH Carpenter
Applied Numerical Mathematics 44, 139-181, 2003
612*2003
Additive Runge-Kutta Schemes for Convection-Diffusion-Reaction Equations
CAKMH Carpenter
NASA TM-2001-211038, 2001
612*2001
Low-storage, explicit Runge–Kutta schemes for the compressible Navier–Stokes equations
CA Kennedy, MH Carpenter, RM Lewis
Applied numerical mathematics 35 (3), 177-219, 2000
4932000
Fourth-order 2N-storage Runge-Kutta schemes
MH Carpenter, CA Kennedy
4821994
The stability of numerical boundary treatments for compact high-order finite-difference schemes
MH Carpenter, D Gottlieb, S Abarbanel
4531991
A stable and conservative interface treatment of arbitrary spatial accuracy
MH Carpenter
Institute for Computer Applications in Science and Engineering, NASA Langley …, 1998
4251998
Several new numerical methods for compressible shear-layer simulations
CA Kennedy, MH Carpenter
Applied Numerical Mathematics 14 (4), 397-433, 1994
4151994
Implicit time integration schemes for the unsteady compressible Navier–Stokes equations: laminar flow
H Bijl, MH Carpenter, VN Vatsa, CA Kennedy
Journal of Computational Physics 179 (1), 313-329, 2002
2042002
A stable high-order finite difference scheme for the compressible Navier–Stokes equations, far-field boundary conditions
M Svärd, MH Carpenter, J Nordström
Journal of Computational Physics 225 (1), 1020-1038, 2007
2012007
Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier–Stokes equations
J Nordström, MH Carpenter
Journal of Computational Physics 148 (2), 621-645, 1999
1771999
The theoretical accuracy of Runge–Kutta time discretizations for the initial boundary value problem: a study of the boundary error
MH Carpenter, D Gottlieb, S Abarbanel, WS Don
SIAM Journal on Scientific Computing 16 (6), 1241-1252, 1995
1621995
High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates
J Nordström, MH Carpenter
Journal of Computational Physics 173 (1), 149-174, 2001
1592001
Application of implicit–explicit high order Runge–Kutta methods to discontinuous-Galerkin schemes
A Kanevsky, MH Carpenter, D Gottlieb, JS Hesthaven
Journal of Computational Physics 225 (2), 1753-1781, 2007
1452007
High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains
TC Fisher, MH Carpenter
Journal of Computational Physics 252, 518-557, 2013
1232013
Spectral Methods on Arbitrary Grids
MH Carpenter, D Gottlieb
Journal of Computational Physics 129, 74-86, 1996
1231996
A systematic methodology for constructing high-order energy stable WENO schemes
NK Yamaleev, MH Carpenter
Journal of Computational Physics 228 (11), 4248-4272, 2009
1102009
Spatial direct numerical simulation of high-speed boundary-layer flows Part I: Algorithmic considerations and validation
CD Pruett, TA Zang, CL Chang, MH Carpenter
Theoretical and Computational Fluid Dynamics 7 (1), 49-76, 1995
1041995
Entropy stable spectral collocation schemes for the Navier--Stokes equations: Discontinuous interfaces
MH Carpenter, TC Fisher, EJ Nielsen, SH Frankel
SIAM Journal on Scientific Computing 36 (5), B835-B867, 2014
1012014
Computational considerations for the simulation of shock-induced sound
J Casper, MH Carpenter
SIAM Journal on Scientific Computing 19 (3), 813-828, 1998
991998
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