122 citations · 230 across the 20 of their papers we have counts for
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math.NA2014
Generalized Summation-by-Parts Operators for the Second Derivative with Variable Coefficients
David C. Del Rey Fernández, David W. Zingg
The comprehensive generalization of summation-by-parts of Del Rey Fernández et al.\ (J. Comput. Phys., 266, 2014) is extended to approximations of second derivatives with variable…
math.NA2014★ 6 cited
Runge-Kutta Characterization of the Generalized Summation-by-Parts Approach in Time
Pieter D. Boom, David W. Zingg
This article extends the theory of dual-consistent summation-by-parts (SBP) and generalized SBP (GSBP) time-marching methods by showing that they are implicit Runge-Kutta schemes.…
math.NA2014★ 70 cited
High-Order Implicit Time-Marching Methods Based on Generalized Summation-By-Parts Operators
Pieter D. Boom, David W. Zingg
This article extends the theory of classical finite-difference summation-by-parts (FD-SBP) time-marching methods to the generalized summation-by-parts (GSBP) framework. Dual-consis…