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Strong Stability Preserving IMEX Methods for Partitioned Systems of Differential Equations
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作者 Giuseppe Izzo Zdzislaw Jackiewicz 《Communications on Applied Mathematics and Computation》 2021年第4期719-758,共40页
We investigate strong stability preserving(SSP)implicit-explicit(IMEX)methods for partitioned systems of differential equations with stiff and nonstiff subsystems.Conditions for order p and stage order q=p are derived... We investigate strong stability preserving(SSP)implicit-explicit(IMEX)methods for partitioned systems of differential equations with stiff and nonstiff subsystems.Conditions for order p and stage order q=p are derived,and characterization of SSP IMEX methods is provided following the recent work by Spijker.Stability properties of these methods with respect to the decoupled linear system with a complex parameter,and a coupled linear system with real parameters are also investigated.Examples of methods up to the order p=4 and stage order q—p are provided.Numerical examples on six partitioned test systems confirm that the derived methods achieve the expected order of convergence for large range of stepsizes of integration,and they are also suitable for preserving the accuracy in the stiff limit or preserving the positivity of the numerical solution for large stepsizes. 展开更多
关键词 partitioned systems of differential equations SSP property IMEX general linear methods Construction of highly stable methods
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A Partition Checkpoint Strategy Based on Data Segment Priority
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作者 LIANG Ping LIU Yunsheng 《Wuhan University Journal of Natural Sciences》 CAS 2012年第2期109-113,共5页
A partition checkpoint strategy based on data segment priority is presented to meet the timing constraints of the data and the transaction in embedded real-time main memory database systems(ERTMMDBS) as well as to r... A partition checkpoint strategy based on data segment priority is presented to meet the timing constraints of the data and the transaction in embedded real-time main memory database systems(ERTMMDBS) as well as to reduce the number of the transactions missing their deadlines and the recovery time.The partition checkpoint strategy takes into account the characteristics of the data and the transactions associated with it;moreover,it partitions the database according to the data segment priority and sets the corresponding checkpoint frequency to each partition for independent checkpoint operation.The simulation results show that the partition checkpoint strategy decreases the ratio of trans-actions missing their deadlines. 展开更多
关键词 embedded real-time main memory database systems database recovery partition checkpoint data segment priority
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