Oct 15, 2013 · The goal of this paper is to present a new high order accurate time-integration technique for IVP. The new time-approximation method is global, ...
In mathematics, summation by parts transforms the summation of products of sequences into other summations, often simplifying the computation or (especially) ...
We analyze the extension of summation-by-parts operators and weak boundary conditions for solving initial boundary value problems involving second derivatives ...
Abstract. Summation-by-parts (SBP) operators are popular building blocks for systematically developing stable and high-order accurate numerical methods for time ...
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We extend the list of stability properties satisfied by Summation-By-Parts (SBP) in time to include strong S-stability, dissipative stability and stiff accuracy ...
Oct 22, 2024 · We develop a new high order accurate time-integration technique for initial value problems. We focus on problems that originate from a space ...
The goal of this paper is to present a new high order accurate time-integration technique for IVP. The new time-approximation method is global, unconditionally ...
Jan 24, 2019 · Some properties of numerical time integration methods using summation by parts operators and simultaneous approximation terms are studied.
Nov 15, 2015 · The most typical uses are in the proof of the fact that if ∑an converges and bn is bounded and monotone, then ∑anbn converges.
Mar 9, 2020 · This article contributes to this topic by proposing a novel class of A stable SBP time integration methods which can also be reformulated as ...