메뉴 건너뛰기




Volumn 228, Issue 21, 2009, Pages 8085-8092

Time-parallel multiscale/multiphysics framework

Author keywords

Parallel in time; Wavelet based multiscaling

Indexed keywords

PREDATOR PREY SYSTEMS; REACTION KINETICS;

EID: 69949163288     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.07.035     Document Type: Article
Times cited : (19)

References (37)
  • 2
    • 3843103273 scopus 로고    scopus 로고
    • A parareal time discretization for non-linear pdes with application to the pricing of an American put
    • Proceedings of the Workshop on Domain Decomposition, Springer
    • Bal G., and Maday A. A parareal time discretization for non-linear pdes with application to the pricing of an American put. Proceedings of the Workshop on Domain Decomposition. Lecture Notes in Computational Science and Engineering vol. 23 (2002), Springer 189-202
    • (2002) Lecture Notes in Computational Science and Engineering , vol.23 , pp. 189-202
    • Bal, G.1    Maday, A.2
  • 3
    • 60949090375 scopus 로고    scopus 로고
    • Symplectic parareal
    • Proceedings of the Workshop on Domain Decomposition, Springer
    • Bal G., and Wu Q. Symplectic parareal. Proceedings of the Workshop on Domain Decomposition. Lecture Notes in Computational Science and Engineering vol. 60 (2008), Springer 401-408
    • (2008) Lecture Notes in Computational Science and Engineering , vol.60 , pp. 401-408
    • Bal, G.1    Wu, Q.2
  • 5
    • 0002658505 scopus 로고    scopus 로고
    • Homogenization of hamiltonian systems with a strong constraining potential
    • Bornemann F.A., and Schutte C. Homogenization of hamiltonian systems with a strong constraining potential. Physica D 102 1-2 (1997) 57-77
    • (1997) Physica D , vol.102 , Issue.1-2 , pp. 57-77
    • Bornemann, F.A.1    Schutte, C.2
  • 6
    • 0344286523 scopus 로고    scopus 로고
    • On the singular limit of the quantum-classical molecular dynamics model
    • Bornemann F.A., and Schutte C. On the singular limit of the quantum-classical molecular dynamics model. SIAM Journal on Applied Mathematics 59 4 (1999) 1208-1224
    • (1999) SIAM Journal on Applied Mathematics , vol.59 , Issue.4 , pp. 1208-1224
    • Bornemann, F.A.1    Schutte, C.2
  • 7
    • 0345566264 scopus 로고    scopus 로고
    • Modulated fourier expansions of highly oscillatory differential equations
    • Cohen D., Hairer E., and Lubich C. Modulated fourier expansions of highly oscillatory differential equations. Foundations of Computational Mathematics 3 4 (2003) 327-345
    • (2003) Foundations of Computational Mathematics , vol.3 , Issue.4 , pp. 327-345
    • Cohen, D.1    Hairer, E.2    Lubich, C.3
  • 8
    • 0037367420 scopus 로고    scopus 로고
    • Heterogeneous multiscale method: a general methodology for multiscale modeling
    • E W., Engquist B., and Huang Z.Y. Heterogeneous multiscale method: a general methodology for multiscale modeling. Physical Review B 67 9 (2003)
    • (2003) Physical Review B , vol.67 , Issue.9
    • Engquist, B.1    Huang, Z.Y.2
  • 9
    • 0242497930 scopus 로고    scopus 로고
    • Time-decomposed parallel time-integrators: theory feasibility studies for fluid, structure, and fluid-structure applications
    • Farhat C., and Chandesris M. Time-decomposed parallel time-integrators: theory feasibility studies for fluid, structure, and fluid-structure applications. International Journal for Numerical Methods in Engineering 58 (2003) 1397-1434
    • (2003) International Journal for Numerical Methods in Engineering , vol.58 , pp. 1397-1434
    • Farhat, C.1    Chandesris, M.2
  • 11
    • 33750993211 scopus 로고    scopus 로고
    • Bridging the scales in nano engineering and science
    • Fish J. Bridging the scales in nano engineering and science. Journal of Nanoparticle Research 8 (2006) 557-594
    • (2006) Journal of Nanoparticle Research , vol.8 , pp. 557-594
    • Fish, J.1
  • 12
    • 0036816062 scopus 로고    scopus 로고
    • Multiscale characterization of materials with distributed pores and inclusions and application to crack formation in an aluminum alloy
    • Frantziskonis G. Multiscale characterization of materials with distributed pores and inclusions and application to crack formation in an aluminum alloy. Probabilistic Engineering Mechanics 17 (2002) 359-367
    • (2002) Probabilistic Engineering Mechanics , vol.17 , pp. 359-367
    • Frantziskonis, G.1
  • 13
    • 0036815965 scopus 로고    scopus 로고
    • Wavelet-based multiscaling - application to material porosity and identification of dominant scales
    • Frantziskonis G. Wavelet-based multiscaling - application to material porosity and identification of dominant scales. Probabilistic Engineering Mechanics 17 (2002) 349-357
    • (2002) Probabilistic Engineering Mechanics , vol.17 , pp. 349-357
    • Frantziskonis, G.1
  • 14
    • 0141705481 scopus 로고    scopus 로고
    • Wavelet-based spatial and temporal multiscaling: bridging the atomistic and continuum space and time scales
    • Frantziskonis G., and Deymier P. Wavelet-based spatial and temporal multiscaling: bridging the atomistic and continuum space and time scales. Physical Review B 68 2 (2003)
    • (2003) Physical Review B , vol.68 , Issue.2
    • Frantziskonis, G.1    Deymier, P.2
  • 15
    • 0034272397 scopus 로고    scopus 로고
    • Wavelet methods for analysing and bridging simulations at complementary scales - the compound wavelet matrix and application to microstructure evolution
    • Frantziskonis G., and Deymier P.A. Wavelet methods for analysing and bridging simulations at complementary scales - the compound wavelet matrix and application to microstructure evolution. Modelling and Simulation in Materials Science and Engineering 8 5 (2000) 649-664
    • (2000) Modelling and Simulation in Materials Science and Engineering , vol.8 , Issue.5 , pp. 649-664
    • Frantziskonis, G.1    Deymier, P.A.2
  • 16
    • 0011975262 scopus 로고    scopus 로고
    • Wavelet-based multiscaling in self-affine random media
    • Frantziskonis G., and Hansen A. Wavelet-based multiscaling in self-affine random media. Fractals 8 (2000) 403-411
    • (2000) Fractals , vol.8 , pp. 403-411
    • Frantziskonis, G.1    Hansen, A.2
  • 18
    • 58249093657 scopus 로고    scopus 로고
    • Nonlinear convergence analysis for the parareal algorithm
    • Domain Decomposition Methods in Science and Engineering XVII, Springer
    • Gander M.J., and Hairer E. Nonlinear convergence analysis for the parareal algorithm. Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering vol. 60 (2008), Springer
    • (2008) Lecture Notes in Computational Science and Engineering , vol.60
    • Gander, M.J.1    Hairer, E.2
  • 19
    • 41449117770 scopus 로고    scopus 로고
    • Analysis of the parareal time-parallel time-integration method
    • Gander M.J., and Vandewalle S. Analysis of the parareal time-parallel time-integration method. SIAM Journal on Scientific Computing 29 2 (2007) 556-578
    • (2007) SIAM Journal on Scientific Computing , vol.29 , Issue.2 , pp. 556-578
    • Gander, M.J.1    Vandewalle, S.2
  • 22
    • 33645429016 scopus 로고
    • Exact stochastic simulation of coupled chemical-reactions
    • Gillespie D.T. Exact stochastic simulation of coupled chemical-reactions. Journal of Physical Chemistry 81 25 (1977) 2340-2361
    • (1977) Journal of Physical Chemistry , vol.81 , Issue.25 , pp. 2340-2361
    • Gillespie, D.T.1
  • 23
    • 0003835647 scopus 로고    scopus 로고
    • Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations
    • Springer-Verlag
    • Hairer E., Lubich C., and Wanner G. Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations. Springer Series in Computational Mathematics vol. 31 (2002), Springer-Verlag
    • (2002) Springer Series in Computational Mathematics , vol.31
    • Hairer, E.1    Lubich, C.2    Wanner, G.3
  • 25
    • 85128858890 scopus 로고    scopus 로고
    • Equation-free coarse-grained multiscale computation: enabling microscopic simulators to perform system-level tasks
    • Kevrekidis I.G. Equation-free coarse-grained multiscale computation: enabling microscopic simulators to perform system-level tasks. Communication in Mathematical Sciences 14 (2003) 715
    • (2003) Communication in Mathematical Sciences , vol.14 , pp. 715
    • Kevrekidis, I.G.1
  • 28
    • 1042269655 scopus 로고    scopus 로고
    • A variational splitting integrator for quantum molecular dynamics
    • Lubich C. A variational splitting integrator for quantum molecular dynamics. Applied Numerical Mathematics 48 3-4 (2004) 355-368
    • (2004) Applied Numerical Mathematics , vol.48 , Issue.3-4 , pp. 355-368
    • Lubich, C.1
  • 29
    • 0346946971 scopus 로고    scopus 로고
    • Verlet-i/r-respa/impulse is limited by nonlinear instabilities
    • Ma Q., Izaguirre J.A., and Skeel R.D. Verlet-i/r-respa/impulse is limited by nonlinear instabilities. SIAM Journal on Scientific Computing 24 6 (2003) 1951-1973
    • (2003) SIAM Journal on Scientific Computing , vol.24 , Issue.6 , pp. 1951-1973
    • Ma, Q.1    Izaguirre, J.A.2    Skeel, R.D.3
  • 32
    • 0007026709 scopus 로고    scopus 로고
    • Multiple time scales in classical and quantum-classical molecular dynamics
    • Reich S. Multiple time scales in classical and quantum-classical molecular dynamics. Journal of Computational Physics 151 1 (1999) 49-73
    • (1999) Journal of Computational Physics , vol.151 , Issue.1 , pp. 49-73
    • Reich, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.