Parallel time integrator for linearized SWE on rotating sphere
- Published: 01 Mar 2019 Journal: Numerical Linear Algebra with Applications, volume 26, page e2220 (issn: 1070-5325,
Copyright policy) - Publisher: Wiley
- Technical University Munich Germany
- UCAR - National Center for Atmospheric Research United States
- University of Exeter United Kingdom
1. Dennard RH, Rideout V, Bassous E, Leblanc A. Design of ion-implanted mosfet's with very small physical dimensions. Solid-State Circuits, IEEE Journal of 1974; 9(5):256-268. [OpenAIRE]
2. Gander MJ. 50 years of time parallel time integration. Multiple Shooting and Time Domain Decomposition, Carraro T, Geiger M, Korkel S, Rannacher R (eds.). Springer-Verlag, 2015.
3. Haut T, Babb T, Martinsson P, Wingate B. A high-order time-parallel scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator. IMA Journal of Numerical Analysis 2015; . [OpenAIRE]
4. Schreiber M, Peixoto PS, Haut T, Wingate B. Beyond spatial scalability limitations with a massively parallel method for linear oscillatory problems. The International Journal of High Performance Computing Applications 2017; .
5. Hochbruck M, Ostermann A. Exponential integrators. Acta Numerica 2010; 19:209-286. [OpenAIRE]
6. Kasahara A. Numerical integration of the global barotropic primitive equations with hough harmonic expansions. Journal of the Atmospheric Sciences 1977; 34(5):687-701.
7. Wang H, Boyd JP, Akmaev RA. On computation of hough functions. Geoscientific Model Development 2016; 9(4):1477.
8. Robert A. The integration of a spectral model of the atmosphere by the implicit method. Proc. WMO/IUGG Symposium on NWP, Tokyo, Japan Meteorological Agency, vol. 7, 1969; 19-24.
9. Hack JJ, Jakob R. Description of a global shallow water model based on the spectral transform method. National Center for Atmospheric Research, 1992. [OpenAIRE]
10. Ritchie H. Application of the semi-lagrangian method to a spectral model of the shallow water equations. Monthly Weather Review 1988; 116(8):1587-1598.
11. Wood N, Staniforth A, White A, Allen T, Diamantakis M, Gross M, Melvin T, Smith C, Vosper S, Zerroukat M, et al.. An inherently mass-conserving semi-implicit semi-lagrangian discretization of the deep-atmosphere global non-hydrostatic equations. Quarterly Journal of the Royal Meteorological Society 2014; 140(682):1505-1520. [OpenAIRE]
12. Barros S, Dent D, Isaksen L, Robinson G, Mozdzynski G, Wollenweber F. The IFS model: A parallel production weather code. Parallel Computing 1995; 21(10):1621 - 1638. Climate and weather modeling.
13. Moler C, Van Loan C. Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. SIAM review 2003; 45(1):3-49.
14. Garcia F, Bonaventura L, Net M, Sa´nchez J. Exponential versus imex high-order time integrators for thermal convection in rotating spherical shells. Journal of Computational Physics 2014; 264:41-54.
15. Clancy C, Lynch P. Laplace transform integration of the shallow-water equations. part i: Eulerian formulation and kelvin waves. Quarterly Journal of the Royal Meteorological Society 2011; 137(656):792-799.
Related research
- Technical University Munich Germany
- UCAR - National Center for Atmospheric Research United States
- University of Exeter United Kingdom
1. Dennard RH, Rideout V, Bassous E, Leblanc A. Design of ion-implanted mosfet's with very small physical dimensions. Solid-State Circuits, IEEE Journal of 1974; 9(5):256-268. [OpenAIRE]
2. Gander MJ. 50 years of time parallel time integration. Multiple Shooting and Time Domain Decomposition, Carraro T, Geiger M, Korkel S, Rannacher R (eds.). Springer-Verlag, 2015.
3. Haut T, Babb T, Martinsson P, Wingate B. A high-order time-parallel scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator. IMA Journal of Numerical Analysis 2015; . [OpenAIRE]
4. Schreiber M, Peixoto PS, Haut T, Wingate B. Beyond spatial scalability limitations with a massively parallel method for linear oscillatory problems. The International Journal of High Performance Computing Applications 2017; .
5. Hochbruck M, Ostermann A. Exponential integrators. Acta Numerica 2010; 19:209-286. [OpenAIRE]
6. Kasahara A. Numerical integration of the global barotropic primitive equations with hough harmonic expansions. Journal of the Atmospheric Sciences 1977; 34(5):687-701.
7. Wang H, Boyd JP, Akmaev RA. On computation of hough functions. Geoscientific Model Development 2016; 9(4):1477.
8. Robert A. The integration of a spectral model of the atmosphere by the implicit method. Proc. WMO/IUGG Symposium on NWP, Tokyo, Japan Meteorological Agency, vol. 7, 1969; 19-24.
9. Hack JJ, Jakob R. Description of a global shallow water model based on the spectral transform method. National Center for Atmospheric Research, 1992. [OpenAIRE]
10. Ritchie H. Application of the semi-lagrangian method to a spectral model of the shallow water equations. Monthly Weather Review 1988; 116(8):1587-1598.
11. Wood N, Staniforth A, White A, Allen T, Diamantakis M, Gross M, Melvin T, Smith C, Vosper S, Zerroukat M, et al.. An inherently mass-conserving semi-implicit semi-lagrangian discretization of the deep-atmosphere global non-hydrostatic equations. Quarterly Journal of the Royal Meteorological Society 2014; 140(682):1505-1520. [OpenAIRE]
12. Barros S, Dent D, Isaksen L, Robinson G, Mozdzynski G, Wollenweber F. The IFS model: A parallel production weather code. Parallel Computing 1995; 21(10):1621 - 1638. Climate and weather modeling.
13. Moler C, Van Loan C. Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. SIAM review 2003; 45(1):3-49.
14. Garcia F, Bonaventura L, Net M, Sa´nchez J. Exponential versus imex high-order time integrators for thermal convection in rotating spherical shells. Journal of Computational Physics 2014; 264:41-54.
15. Clancy C, Lynch P. Laplace transform integration of the shallow-water equations. part i: Eulerian formulation and kelvin waves. Quarterly Journal of the Royal Meteorological Society 2011; 137(656):792-799.
Related research
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