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Volumn 155, Issue 2, 2007, Pages 290-299

A quasilinear implicit Riemann solver for the time-dependent Pn equations

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; ERROR ANALYSIS; HARMONIC ANALYSIS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS;

EID: 33847358240     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE07-A2663     Document Type: Conference Paper
Times cited : (22)

References (21)
  • 2
  • 3
    • 33847415046 scopus 로고    scopus 로고
    • Two Dimensional Time Dependent Riemann Solvers for Neutron Transport
    • Salt Lake City, Utah, September 9-13, American Nuclear Society
    • T. A. BRUNNER and J. P. HOLLOWAY, "Two Dimensional Time Dependent Riemann Solvers for Neutron Transport," Proc. Int. Mtg. Mathematical Methods for Nuclear Applications, Salt Lake City, Utah, September 9-13, 2001, American Nuclear Society (2001).
    • (2001) Proc. Int. Mtg. Mathematical Methods for Nuclear Applications
    • BRUNNER, T.A.1    HOLLOWAY, J.P.2
  • 4
    • 23044485543 scopus 로고    scopus 로고
    • Two Dimensional Time Dependent Riemann Solvers for Neutron Transport
    • T. A. BRUNNER and J. P. HOLLOWAY, "Two Dimensional Time Dependent Riemann Solvers for Neutron Transport," J. Comput. Phys., 210, 1, 386 (2005).
    • (2005) J. Comput. Phys , vol.210 , Issue.1 , pp. 386
    • BRUNNER, T.A.1    HOLLOWAY, J.P.2
  • 5
    • 23044465227 scopus 로고    scopus 로고
    • Riemann Solvers for Time-Dependent Transport Based on the Maximum Entropy and Spherical Harmonics Closures,
    • PhD Thesis, University of Michigan, Ann Arbor, Michigan
    • T. A. BRUNNER, "Riemann Solvers for Time-Dependent Transport Based on the Maximum Entropy and Spherical Harmonics Closures," PhD Thesis, University of Michigan, Ann Arbor, Michigan (2000).
    • (2000)
    • BRUNNER, T.A.1
  • 6
    • 33847342957 scopus 로고    scopus 로고
    • M. EATON, C. C. PAIN, C. R. E. DE OLIVEIRA, and A. GODDARD, A High-Order Riemann Method for the Boltzmann Transport Equation, Proc. Nuclear Mathematical and Computational Sciences: A Century in Review, A Century Anew (M&C 2003), Gatlinburg, Tennessee, April 6-10, 2003, American Nuclear Society (2003).
    • M. EATON, C. C. PAIN, C. R. E. DE OLIVEIRA, and A. GODDARD, "A High-Order Riemann Method for the Boltzmann Transport Equation," Proc. Nuclear Mathematical and Computational Sciences: A Century in Review, A Century Anew (M&C 2003), Gatlinburg, Tennessee, April 6-10, 2003, American Nuclear Society (2003).
  • 8
    • 0035281126 scopus 로고    scopus 로고
    • Variable Eddington Factors and Flux Limiters in Radiative Transfer
    • B. SU, "Variable Eddington Factors and Flux Limiters in Radiative Transfer," Nucl. Sci. Eng., 137, 281 (2001).
    • (2001) Nucl. Sci. Eng , vol.137 , pp. 281
    • SU, B.1
  • 9
    • 0003908527 scopus 로고
    • On the Partial Difference Questions of Mathematical Physics
    • R. COURANT, O. K. FRIEDRICHS, and H. LEWY, "On the Partial Difference Questions of Mathematical Physics," Math. Ann., 100, 32(1928).
    • (1928) Math. Ann , vol.100 , pp. 32
    • COURANT, R.1    FRIEDRICHS, O.K.2    LEWY, H.3
  • 10
    • 0036680887 scopus 로고    scopus 로고
    • A Nonlinear Diffusion Theory for Particle Transport in Strong Absorbers
    • C. YIN and B. SU, "A Nonlinear Diffusion Theory for Particle Transport in Strong Absorbers," Ann. Nucl. Energy, 29, 12, 1403 (2002).
    • (2002) Ann. Nucl. Energy , vol.29 , Issue.12 , pp. 1403
    • YIN, C.1    SU, B.2
  • 14
    • 34249988639 scopus 로고
    • Towards the Ultimate Conservative Difference Scheme-II: Monotonicity and Conservation Combined in a Second-Order Scheme
    • B. VAN LEER, "Towards the Ultimate Conservative Difference Scheme-II: Monotonicity and Conservation Combined in a Second-Order Scheme, J. Comput. Phys., 14, 361 (1974).
    • (1974) J. Comput. Phys , vol.14 , pp. 361
    • VAN LEER, B.1
  • 15
    • 33847381979 scopus 로고    scopus 로고
    • J. BONNYCASTLE, An Introduction to Algebra, revised and enlarged edition, W. E. Dean, New York (1851).
    • J. BONNYCASTLE, An Introduction to Algebra, revised and enlarged edition, W. E. Dean, New York (1851).
  • 17
    • 33847403559 scopus 로고    scopus 로고
    • M. HEROUX, R. BARTLETT, V. HOWLE, R. HOEKSTRA, J. HU, T. KOLDA, R. LEHOUCQ, K. LONG, R. PAWLOWSKI, E. PHIPPS, A. SALINGER, H. THORNQUIST, R. TUMINARO, J. WILLENBRING, and A. WBL LIAMS, An Overview of Trilinos, SAND2003-2927, Sandia National Laboratories (2003).
    • M. HEROUX, R. BARTLETT, V. HOWLE, R. HOEKSTRA, J. HU, T. KOLDA, R. LEHOUCQ, K. LONG, R. PAWLOWSKI, E. PHIPPS, A. SALINGER, H. THORNQUIST, R. TUMINARO, J. WILLENBRING, and A. WBL LIAMS, "An Overview of Trilinos," SAND2003-2927, Sandia National Laboratories (2003).
  • 18
    • 0005588023 scopus 로고
    • x = 0 by Partial Differential Equations
    • x = 0 by Partial Differential Equations," J. Comput. Phys., 29, 969 (1975).
    • (1975) J. Comput. Phys , vol.29 , pp. 969
    • HEDSTROM, G.1
  • 19
    • 49549156305 scopus 로고
    • The Modified Equation Approach to the Stability and Accuracy Analysis of Finite-Difference Methods
    • R. F. WARMING and B. J. HYETT, "The Modified Equation Approach to the Stability and Accuracy Analysis of Finite-Difference Methods," J. Comput. Phys., 14, 159 (1974).
    • (1974) J. Comput. Phys , vol.14 , pp. 159
    • WARMING, R.F.1    HYETT, B.J.2
  • 20
    • 84883431592 scopus 로고    scopus 로고
    • Obtaining Identical Results on Varying Numbers of Processors in Domain Decomposed Particle Monte Carlo Simulations
    • F. GRAZIANI, Ed, Springer-Verlag, New York
    • N. A. GENTILE, M. KALOS, and T. A. BRUNNER, "Obtaining Identical Results on Varying Numbers of Processors in Domain Decomposed Particle Monte Carlo Simulations," Computational Methods in Transport, F. GRAZIANI, Ed., Springer-Verlag, New York (2005).
    • (2005) Computational Methods in Transport
    • GENTILE, N.A.1    KALOS, M.2    BRUNNER, T.A.3
  • 21
    • 29144462734 scopus 로고    scopus 로고
    • Comparison of Four Parallel Algorithms for Domain Decomposed Implicit Monte Carlo
    • T. A. BRUNNER, T. J. URBATSCH, T. M. EVANS, and N. A. GENTILE, "Comparison of Four Parallel Algorithms for Domain Decomposed Implicit Monte Carlo," J. Comput. Phys., 212, 2, 527 (2005).
    • (2005) J. Comput. Phys , vol.212 , Issue.2 , pp. 527
    • BRUNNER, T.A.1    URBATSCH, T.J.2    EVANS, T.M.3    GENTILE, N.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.