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Dirk Order
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by A Biswas · 2022 · Cited by 14 — In this work a general theory of WSO is employed to overcome the prior WSO barrier and to construct practically useful high-order DIRK scheme#by JM Franco · 2003 · Cited by 26 — New symmetric DIRK methods specially adapted to the numerical integration of first-order stiff ODE systems with periodic solutions are obtai*by F Cameron · 1999 · Cited by 18 — The DIRKs we consider have global order of at most 3. We determine how many stages are required to meet different order and stability specif!by A Biswas · 2023 · Cited by 14 — In particular, we systematically construct high-order DIRK schemes of WSO 4 and above (Section 5), and among such schemes, we devise ones wit-by D Ketcheson · 2018 · Cited by 19 — Order reduction can be avoided by using methods with high stage order. However, diagonally-implicit Runge-Kutta (DIRK) schemes are limited!by A Biswas · 2023 · Cited by 14 — The concept of weak stage order (WSO) can also overcome order reduction, and it is compatible with the DIRK structure. DIRK schemes of WSO up*by DI Ketcheson · 2020 · Cited by 19 — In this paper we explore a weak stage order criterion, which for initial boundary value problems also serves to avoid order reduction, an


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