Optimal explicit strong-stability-preserving general linear methods : complete results.

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This paper constructs strong-stability-preserving general linear time-stepping methods that are well suited for hyperbolic PDEs discretized by the method of lines. These methods generalize both Runge-Kutta (RK) and linear multistep schemes. They have high stage orders and hence are less susceptible than RK methods to order reduction from source terms or nonhomogeneous boundary conditions. A global optimization strategy is used to find the most efficient schemes that have low storage requirements. Numerical results illustrate the theoretical findings.

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Constantinescu, E. M.; Sandu, A.; Science, Mathematics and Computer & Univ., Virginia Polytechnic Inst. and State March 3, 2009.

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This paper constructs strong-stability-preserving general linear time-stepping methods that are well suited for hyperbolic PDEs discretized by the method of lines. These methods generalize both Runge-Kutta (RK) and linear multistep schemes. They have high stage orders and hence are less susceptible than RK methods to order reduction from source terms or nonhomogeneous boundary conditions. A global optimization strategy is used to find the most efficient schemes that have low storage requirements. Numerical results illustrate the theoretical findings.

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  • Report No.: ANL/MCS-TM-304
  • Grant Number: DE-AC02-06CH11357
  • DOI: 10.2172/967031 | External Link
  • Office of Scientific & Technical Information Report Number: 967031
  • Archival Resource Key: ark:/67531/metadc926347

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  • March 3, 2009

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Feb. 16, 2017, 4:33 p.m.

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Constantinescu, E. M.; Sandu, A.; Science, Mathematics and Computer & Univ., Virginia Polytechnic Inst. and State. Optimal explicit strong-stability-preserving general linear methods : complete results., report, March 3, 2009; United States. (digital.library.unt.edu/ark:/67531/metadc926347/: accessed October 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.