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題名 混合單調法在中子運輸方程之研究
The method of mixed monotonoy on neutron transport equations
作者 黃永欽
貢獻者 蔡隆義
黃永欽
日期 1991
1990
上傳時間 2-May-2016 17:07:34 (UTC+8)
摘要 中文摘要
參考文獻 References:
     
     [1] M. Altman, "A unified theory of nonlinear operator and evolution equations with application." Marcel Dekker, INC. ( 1986)
     [2]G. Busoni, V. Capasso, and A. Beller-Morante, Global solution of a nonlinear neutron transport problem with temperature feedback. Nonlinear analysis, Theory, Method & Applications. Vol. 1, No 6, pp 651-665 (1977)
     [3] K. M. Case and P. F. Zweifel, "Linear transport theory."Addison-Wesley. Reading, Mass, (1967)
     [4] G. S. Chen and A. W. Leung, Nonlinear reactor multigroup neutron transport system: Existence and stability problems.Sino-Japanese joint seminar on nonlinear partial differential equations. (1990)
     [5] G. A. o. Davies, (edited) "Mathematical methods in engineering." John Wiley & Sons, Ltd. (1984)
     [6] L. Erbe and Xinzhi Liu, Monotone iterative methods for differential systems with finite delay. Appl. Math. Comput.43, pp 43-64. (1991)
     [7] A. Friedman, "Partial differential equations of parabolic type." Prentice-Hall, Englewood Cliffs, New Jersey. (1964)
     [8] D. Gilbarg and N. S. Trundinge r , "Elliptic partial differential equations of second order." Springer Verlag.(1983)
     [9] H. Hochstadt, " Integal equations." John Wiley & Sons.(1976)
     [10] M. Khavanin, The method of mixed monotony for first order nonlinear integro-
     differential systems. Proceedings of The International Conference on Theory and Applications of Differential Equations. (1988)
     [11] M. Khavanin and V. Lakshmikantham, The method of mixed monotony and first order differential systems. Nonl. Anal.10, pp 873-877. (1986)
     [12] G. S. Ladde, V. Lakshmikantham and A. S. Vatsala,"Monotone iterative techniques for nonlinear differential equations." Pitman, Boston (1985)
     [13] O. Ladyzhenskaya, V. Solonikov and N. Uralceva, "Linear and quasilinear equations of parabolic type." A.M.S..Translation of Monograph 23, Providence, R. I. (1968)
     [14] V. Lakshmikantham and A. S. Vatsala, Method of mixed monotony for nonlinear equations with a singular linear part. Appl. Math. Comput. 23, pp 235-241. (1987)
     [15] A. W. Leung, "Systems of nonlinear partial differential equations. Applicationa to biology and engineering." Kluwer Academic Publishers. (1989)
     [16] E. E. Lewis and W. F. Miller, Jr. "Computation method of neutron transport." John Wiley k Sons. New York, (1984)
     [17] C. V. Pao, Asymptotic behavior of the solution for the time-dependent neutron transport problem. J. Integral equations. 1, pp 131-152. (1979)
     [18] C. V. Pao, Stability analysis of the neutron transport equation with temperature feedback. J. Math. Phys. Vol. 24 No.5 pp 1321-1325 (1983)
     [19] C. V. Pao, Comparison and stability of solutions for a neutron transport problem with temperature feedback. SIAM.J. Math. Anal. pp 167-184 (1983)
     [20] V. P. Politukov, A method of solving boundary value problems for nonlinear transport equations U.S.S.R. Comput.Maths Math. Phys. Vol 19, pp 135-148 (1979)
     [21] M. H. Protter and H. F. Weinberger, "Maximum principles in differential equations." Springer Verlag. (1984)
     [22] D. H. Sattinger, Monotone methods in nonlinear elliptic and parabolic boudary value problem. Indiana Univeristy Math. J. Vol. 21, No. 11. (1972)
     [23] L. Y. Tsai & S. T. Wu, Existence of solutions for elliptic integra-differential systems, Math. Res. Center Reports,Symp. summer`90. (1990)
     [24] L. Y. Tsai, Existence of solutions for parabolic integro differential system, Sino-Japanese joint seminar on nonlinear partial differential equations. (1990)
     [25] V. S. Vladmimirov, "Equations of mathematical physics."(A. Jeffery, editor; A. Littlewood translator). (1970)
描述 碩士
國立政治大學
應用數學系
資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002005102
資料類型 thesis
dc.contributor.advisor 蔡隆義zh_TW
dc.contributor.author (Authors) 黃永欽zh_TW
dc.creator (作者) 黃永欽zh_TW
dc.date (日期) 1991en_US
dc.date (日期) 1990en_US
dc.date.accessioned 2-May-2016 17:07:34 (UTC+8)-
dc.date.available 2-May-2016 17:07:34 (UTC+8)-
dc.date.issued (上傳時間) 2-May-2016 17:07:34 (UTC+8)-
dc.identifier (Other Identifiers) B2002005102en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/89766-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 應用數學系zh_TW
dc.description.abstract (摘要) 中文摘要zh_TW
dc.description.tableofcontents CONTENT
     Section 0 Formulation 1
     Section 1 Introduction 3
     Section 2 The Method of Mixed Monotony and Posterior
     Estimates 6
     § 2-1 The Method of Mixed Monotony 7
     § 2-2 Posterior Estimates 16
     § 2-3 : Numer i cal Results 19
     Section 3 Transport Parabolic Type 32
     Section 4 : Steady-State Problem 40
     References 45
     Appendix 1 48
     Appendix 2 50		zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002005102en_US
dc.title (題名) 混合單調法在中子運輸方程之研究zh_TW
dc.title (題名) The method of mixed monotonoy on neutron transport equationsen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) References:
     
     [1] M. Altman, "A unified theory of nonlinear operator and evolution equations with application." Marcel Dekker, INC. ( 1986)
     [2]G. Busoni, V. Capasso, and A. Beller-Morante, Global solution of a nonlinear neutron transport problem with temperature feedback. Nonlinear analysis, Theory, Method & Applications. Vol. 1, No 6, pp 651-665 (1977)
     [3] K. M. Case and P. F. Zweifel, "Linear transport theory."Addison-Wesley. Reading, Mass, (1967)
     [4] G. S. Chen and A. W. Leung, Nonlinear reactor multigroup neutron transport system: Existence and stability problems.Sino-Japanese joint seminar on nonlinear partial differential equations. (1990)
     [5] G. A. o. Davies, (edited) "Mathematical methods in engineering." John Wiley & Sons, Ltd. (1984)
     [6] L. Erbe and Xinzhi Liu, Monotone iterative methods for differential systems with finite delay. Appl. Math. Comput.43, pp 43-64. (1991)
     [7] A. Friedman, "Partial differential equations of parabolic type." Prentice-Hall, Englewood Cliffs, New Jersey. (1964)
     [8] D. Gilbarg and N. S. Trundinge r , "Elliptic partial differential equations of second order." Springer Verlag.(1983)
     [9] H. Hochstadt, " Integal equations." John Wiley & Sons.(1976)
     [10] M. Khavanin, The method of mixed monotony for first order nonlinear integro-
     differential systems. Proceedings of The International Conference on Theory and Applications of Differential Equations. (1988)
     [11] M. Khavanin and V. Lakshmikantham, The method of mixed monotony and first order differential systems. Nonl. Anal.10, pp 873-877. (1986)
     [12] G. S. Ladde, V. Lakshmikantham and A. S. Vatsala,"Monotone iterative techniques for nonlinear differential equations." Pitman, Boston (1985)
     [13] O. Ladyzhenskaya, V. Solonikov and N. Uralceva, "Linear and quasilinear equations of parabolic type." A.M.S..Translation of Monograph 23, Providence, R. I. (1968)
     [14] V. Lakshmikantham and A. S. Vatsala, Method of mixed monotony for nonlinear equations with a singular linear part. Appl. Math. Comput. 23, pp 235-241. (1987)
     [15] A. W. Leung, "Systems of nonlinear partial differential equations. Applicationa to biology and engineering." Kluwer Academic Publishers. (1989)
     [16] E. E. Lewis and W. F. Miller, Jr. "Computation method of neutron transport." John Wiley k Sons. New York, (1984)
     [17] C. V. Pao, Asymptotic behavior of the solution for the time-dependent neutron transport problem. J. Integral equations. 1, pp 131-152. (1979)
     [18] C. V. Pao, Stability analysis of the neutron transport equation with temperature feedback. J. Math. Phys. Vol. 24 No.5 pp 1321-1325 (1983)
     [19] C. V. Pao, Comparison and stability of solutions for a neutron transport problem with temperature feedback. SIAM.J. Math. Anal. pp 167-184 (1983)
     [20] V. P. Politukov, A method of solving boundary value problems for nonlinear transport equations U.S.S.R. Comput.Maths Math. Phys. Vol 19, pp 135-148 (1979)
     [21] M. H. Protter and H. F. Weinberger, "Maximum principles in differential equations." Springer Verlag. (1984)
     [22] D. H. Sattinger, Monotone methods in nonlinear elliptic and parabolic boudary value problem. Indiana Univeristy Math. J. Vol. 21, No. 11. (1972)
     [23] L. Y. Tsai & S. T. Wu, Existence of solutions for elliptic integra-differential systems, Math. Res. Center Reports,Symp. summer`90. (1990)
     [24] L. Y. Tsai, Existence of solutions for parabolic integro differential system, Sino-Japanese joint seminar on nonlinear partial differential equations. (1990)
     [25] V. S. Vladmimirov, "Equations of mathematical physics."(A. Jeffery, editor; A. Littlewood translator). (1970)		zh_TW