Mark H. Carpenter

Best Publications

• Additive Runge-Kutta Schemes for Convection-Diffusion-Reaction Equations

  Christopher A. Kennedy;Mark H. Carpenter

  937
  Citations

• Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and application to high-order compact schemes

  Mark H. Carpenter;David Gottlieb;Saul Abarbanel

  813
  Citations

• Low-storage, Explicit Runge-Kutta Schemes for the Compressible Navier-Stokes Equations

  Christopher A. Kennedy;Mark H. Carpenter;R. Michael Lewis

  721
  Citations

• Fourth-order 2N-storage Runge-Kutta schemes

  Mark H. Carpenter;Christopher A. Kennedy

  684
  Citations

• Several new numerical methods for compressible shear-layer simulations

  Unknown

  544
  Citations

• The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes

  Mark H. Carpenter;David Gottlieb;Saul Abarbanel

  539
  Citations

• A Stable and Conservative Interface Treatment of Arbitrary Spatial Accuracy

  Mark H Carpenter;Jan Nordström;David Gottlieb

  530
  Citations

• High-order entropy stable finite difference schemes for nonlinear conservation laws

  Travis C. Fisher;Mark H. Carpenter

  388
  Citations

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

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

  278
  Citations

• Implicit Time Integration Schemes for the Unsteady Compressible Navier–Stokes Equations: Laminar Flow

  Hester Bijl;Mark H. Carpenter;Veer N. Vatsa;Christopher A. Kennedy

  273
  Citations

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

  Magnus Svärd;Mark H. Carpenter;Jan Nordström

  266
  Citations

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

  Nail K. Yamaleev;Mark H. Carpenter

  217
  Citations

• Boundary and Interface Conditions for High-Order Finite-Difference Methods Applied to the Euler and Navier-Stokes Equations

  Jan Nordström;Mark H Carpenter

  215
  Citations

• The theoretical accuracy of Runge-Kutta time discretizations for the initial boundary value problem: a study of the boundary error

  Mark H. Carpenter;David Gottlieb;Saul Abarbanel;Wai Sun Don

  215
  Citations

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

  Alex Kanevsky;Mark H. Carpenter;David Gottlieb;Jan S. Hesthaven

  198
  Citations

• High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates

  Jan Nordström;Mark H. Carpenter

  192
  Citations

• 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

  188
  Citations

• Third-order Energy Stable WENO scheme

  Nail K. Yamaleev;Mark H. Carpenter

  172
  Citations

• Accuracy of Shock Capturing in Two Spatial Dimensions

  Unknown

  171
  Citations

• Spectral Methods on Arbitrary Grids

  Mark H. Carpenter;David Gottlieb

  168
  Citations