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A unified formulation of splitting-based implicit time integration schemes
Splitting-based time integration approaches such as fractional steps, al...
03/01/2021 ∙ by Severiano González-Pinto, et al. ∙
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A fast time-stepping strategy for ODE systems equipped with a surrogate model
Simulation of complex dynamical systems arising in many applications is ...
11/07/2020 ∙ by Steven Roberts, et al. ∙
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Parallel implicit-explicit general linear methods
High-order discretizations of partial differential equations (PDEs) nece...
02/03/2020 ∙ by Steven Roberts, et al. ∙
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Implicit multirate GARK methods
This work considers multirate generalized-structure additively partition...
10/30/2019 ∙ by Steven Roberts, et al. ∙
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Alternating Directions Implicit Integration in a General Linear Method Framework
Alternating Directions Implicit (ADI) integration is an operator splitti...
02/02/2019 ∙ by Arash Sarshar, et al. ∙
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Coupled Multirate Infinitesimal GARK Schemes for Stiff Systems with Multiple Time Scales
Differential equations derived from many real-world applications are dom...
11/30/2018 ∙ by Steven Roberts, et al. ∙
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Design of High-Order Decoupled Multirate GARK Schemes
Multirate time integration methods apply different step sizes to resolve...
04/20/2018 ∙ by Arash Sarshar, et al. ∙
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Arash Sarshar
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Virginia Polytechnic Institute and State University
