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Showing 2023 · math.NAShow all
3 papers · 2 filters
math.NA2023★ 6 cited
Summation-by-parts operators for general function spaces: The second derivative
Jan Glaubitz, Simon-Christian Klein, Jan Nordström +1
Many applications rely on solving time-dependent partial differential equations (PDEs) that include second derivatives. Summation-by-parts (SBP) operators are crucial for developin…
math.NA2023★ 4 cited
On a family of low-rank algorithms for large-scale algebraic Riccati equations
Christian Bertram, Heike Faßbender
In [3] it was shown that four seemingly different algorithms for computing low-rank approximate solutions to the solution of large-scale continuous-time algebraic Riccati…
math.NA2023★ 7 cited
Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction
Jan Glaubitz, Simon-Christian Klein, Jan Nordström +1
Summation-by-parts (SBP) operators allow us to systematically develop energy-stable and high-order accurate numerical methods for time-dependent differential equations. Until recen…