Mark H. Carpenter

According to our database, Mark H. Carpenter authored at least 40 papers between 1995 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

A superconvergent stencil-adaptive SBP-SAT finite difference scheme.

Viktor Linders, Mark H. Carpenter, Jan Nordström

J. Comput. Phys., March, 2024

2022

Computing Sensitivities in Evolutionary Systems: A Real-Time Reduced Order Modeling Strategy.

Michael Donello, Mark H. Carpenter, Hessam Babaee

SIAM J. Sci. Comput., 2022

Provably stable flux reconstruction high-order methods on curvilinear elements.

Alexander Cicchino, David C. Del Rey Fernández, Siva Nadarajah, Jesse Chan, Mark H. Carpenter

J. Comput. Phys., 2022

2020

Accurate solution-adaptive finite difference schemes for coarse and fine grids.

Viktor Linders, Mark H. Carpenter, Jan Nordström

J. Comput. Phys., 2020

2019

Efficient Entropy Stable Gauss Collocation Methods.

Jesse Chan, David C. Del Rey Fernández, Mark H. Carpenter

SIAM J. Sci. Comput., 2019

Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws.

Lucas Friedrich, Gero Schnücke, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Mark H. Carpenter

J. Sci. Comput., 2019

Extension of Tensor-Product Generalized and Dense-Norm Summation-by-Parts Operators to Curvilinear Coordinates.

David C. Del Rey Fernández, Pieter D. Boom, Mark H. Carpenter, David W. Zingg

J. Sci. Comput., 2019

Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids.

Nail K. Yamaleev, David C. Del Rey Fernández, Jialin Lou, Mark H. Carpenter

J. Comput. Phys., 2019

Staggered-grid entropy-stable multidimensional summation-by-parts discretizations on curvilinear coordinates.

David C. Del Rey Fernández, Jared Crean, Mark H. Carpenter, Jason E. Hicken

J. Comput. Phys., 2019

Conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations: Adiabatic wall and heat entropy transfer.

Lisandro Dalcín, Diego Rojas, Stefano Zampini, David C. Del Rey Fernández, Mark H. Carpenter, Matteo Parsani

J. Comput. Phys., 2019

SBP-SAT finite difference discretization of acoustic wave equations on staggered block-wise uniform grids.

Longfei Gao, David C. Del Rey Fernández, Mark H. Carpenter, David E. Keyes

J. Comput. Appl. Math., 2019

Entropy Stable h/p-Nonconforming Discretization with the Summation-by-Parts Property for the Compressible Euler and Navier-Stokes Equations.

David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, Stefano Zampini, Matteo Parsani

CoRR, 2019

Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations.

David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, Lucas Friedrich, Andrew R. Winters, Gregor J. Gassner, Matteo Parsani

CoRR, 2019

Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations.

David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, L. Fredrich, Diego Rojas, Andrew R. Winters, Gregor J. Gassner, Stefano Zampini, Matteo Parsani

CoRR, 2019

2018

Entropy Stability and the No-Slip Wall Boundary Condition.

Magnus Svärd, Mark H. Carpenter, Matteo Parsani

SIAM J. Numer. Anal., 2018

An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property.

Lucas Friedrich, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Matteo Parsani, Mark H. Carpenter

J. Sci. Comput., 2018

Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements.

Jared Crean, Jason E. Hicken, David C. Del Rey Fernández, David W. Zingg, Mark H. Carpenter

J. Comput. Phys., 2018

2017

A family of fourth-order entropy stable nonoscillatory spectral collocation schemes for the 1-D Navier-Stokes equations.

Nail K. Yamaleev, Mark H. Carpenter

J. Comput. Phys., 2017

Corrigendum to "A stable and conservative interface treatment of arbitrary spatial accuracy" [J. Comput. Phys. 148 (1999) 341-365].

Mark H. Carpenter, Jan Nordström, David I. Gottlieb

J. Comput. Phys., 2017

2016

Entropy Stable Staggered Grid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier-Stokes Equations.

Matteo Parsani, Mark H. Carpenter, Travis C. Fisher, Eric J. Nielsen

SIAM J. Sci. Comput., 2016

2015

Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations.

Matteo Parsani, Mark H. Carpenter, Eric J. Nielsen

J. Comput. Phys., 2015

Entropy stable discontinuous interfaces coupling for the three-dimensional compressible Navier-Stokes equations.

Matteo Parsani, Mark H. Carpenter, Eric J. Nielsen

J. Comput. Phys., 2015

2014

Entropy Stable Spectral Collocation Schemes for the Navier-Stokes Equations: Discontinuous Interfaces.

Mark H. Carpenter, Travis C. Fisher, Eric J. Nielsen, Steven H. Frankel

SIAM J. Sci. Comput., 2014

Optimal diagonal-norm SBP operators.

Ken Mattsson, Martin Almquist, Mark H. Carpenter

J. Comput. Phys., 2014

2013

Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: Theory and boundary conditions.

Travis C. Fisher, Mark H. Carpenter, Jan Nordström, Nail K. Yamaleev, Charles Swanson

J. Comput. Phys., 2013

High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains.

Travis C. Fisher, Mark H. Carpenter

J. Comput. Phys., 2013

2011

Boundary closures for fourth-order energy stable weighted essentially non-oscillatory finite-difference schemes.

Travis C. Fisher, Mark H. Carpenter, Nail K. Yamaleev, Steven H. Frankel

J. Comput. Phys., 2011

2010

Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods.

Ken Mattsson, Mark H. Carpenter

SIAM J. Sci. Comput., 2010

Revisiting and Extending Interface Penalties for Multi-domain Summation-by-Parts Operators.

Mark H. Carpenter, Jan Nordström, David I. Gottlieb

J. Sci. Comput., 2010

2009

A systematic methodology for constructing high-order energy stable WENO schemes.

Nail K. Yamaleev, Mark H. Carpenter

J. Comput. Phys., 2009

Third-order Energy Stable WENO scheme.

Nail K. Yamaleev, Mark H. Carpenter

J. Comput. Phys., 2009

2007

A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions.

Magnus Svärd, Mark H. Carpenter, Jan Nordström

J. Comput. Phys., 2007

Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes.

Alex Kanevsky, Mark H. Carpenter, David I. Gottlieb, Jan S. Hesthaven

J. Comput. Phys., 2007

2006

Idempotent filtering in spectral and spectral element methods.

Alex Kanevsky, Mark H. Carpenter, Jan S. Hesthaven

J. Comput. Phys., 2006

2005

Fourth-Order Runge-Kutta Schemes for Fluid Mechanics Applications.

Mark H. Carpenter, C. A. Kennedy, Hester Bijl, S. A. Viken, Veer N. Vatsa

J. Sci. Comput., 2005

Foreword.

Mark H. Carpenter, David I. Gottlieb, Jan S. Hesthaven, Chi-Wang Shu

J. Sci. Comput., 2005

2003

On the Conservation and Convergence to Weak Solutions of Global Schemes.

Mark H. Carpenter, David I. Gottlieb, Chi-Wang Shu

J. Sci. Comput., 2003

1998

Computational Considerations for the Simulation of Shock-Induced Sound.

Jay Casper, Mark H. Carpenter

SIAM J. Sci. Comput., 1998

1996

On the Removal of Boundary Errors Caused by Runge-Kutta Integration of Nonlinear Partial Differential Equations.

Saul Abarbanel, David I. Gottlieb, Mark H. Carpenter

SIAM J. Sci. Comput., 1996

1995

The Theoretical Accuracy of Runge-Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error.

Mark H. Carpenter, David I. Gottlieb, Saul Abarbanel, Wai-Sun Don

SIAM J. Sci. Comput., 1995