Mark H. Carpenter

Computational Mechanics · 2000–2019

A researcher in the Science corpus: 8 papers; trusts 26 researchers and is trusted by 37 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 33 citations into it; #850 of 10,001 by trust here, #1,778 by citations
• Numerical Analysis — 29 citations into it; #257 of 3,586 by trust here, #307 by citations
• Electrical and Electronic Engineering — 10 citations into it
• Applied Mathematics — 8 citations into it
• Atmospheric Science — 6 citations into it; #1,867 of 4,804 by trust here, #2,179 by citations
• Computational Theory and Mathematics — 6 citations into it

Whom Mark H. Carpenter trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Eitan Tadmor
2. Ernst Hairer
3. Farzad Ismail
4. Chi-Wang Shu
5. Christopher A. Kennedy
6. Ken Mattsson
7. Travis C. Fisher
8. Lorenzo Pareschi
9. John Charles Butcher
10. Gerhard Wanner

Who trusts Mark H. Carpenter overall

1. Michael L. Minion
2. Sebastiano Boscarino
3. Serge Piperno
4. David J. Gardner
5. Anita T. Layton
6. Gregor J. Gassner
7. Christopher A. Kennedy
8. Sergio Pirozzoli
9. Yan Xu
10. Giacomo Dimarco

Papers from Mark H. Carpenter's perspective

Ordered by how strongly the researchers Mark H. Carpenter trusts endorse each paper. Same corpus, a different order for every researcher.

1. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems (SIAM Journal on Numerical Analysis)
2. Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves
3. Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks
4. Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems (Acta Numerica)
5. Additive Runge-Kutta Schemes for Convection-Diffusion-Reaction Equations
6. Affordable, entropy-consistent Euler flux functions II: Entropy production at shocks (Journal of Computational Physics)
7. Implicit-explicit runge-kutta schemes and applications to hyperbolic systems with relaxation
8. High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems (SIAM Review)
9. A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods (SIAM Journal on Scientific Computing)
10. Event location for ordinary differential equations

Their papers

• Higher-order additive Runge–Kutta schemes for ordinary differential equations (2019) — 73 citations
• Diagonally implicit Runge–Kutta methods for stiff ODEs (2019) — 84 citations
• Diagonally Implicit Runge-Kutta Methods for Ordinary Differential Equations. A Review (2016) — 151 citations
• Entropy Stable Spectral Collocation Schemes for the Navier-Stokes Equations: Discontinuous Interfaces (2014) — 299 citations
• High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains (2013) — 353 citations
• Additive Runge-Kutta Schemes for Convection-Diffusion-Reaction Equations (2003) — 829 citations
• Implicit Time Integration Schemes for the Unsteady Compressible Navier–Stokes Equations: Laminar Flow (2002) — 231 citations
• Low-storage, Explicit Runge-Kutta Schemes for the Compressible Navier-Stokes Equations (2000) — 600 citations