［1］Hadamard J. Lectures on Cauchy's Problem in Linear Partial Differential Equations［M］. New Haven: Yale University Press, 1923.
［2］Courant R, Friedrichs K O. Supersonic Flow and Fhock Waves［M］. New York: Wiley-Interscience Publishers, 1967.
［3］Courant R, Friedrichs K O, Lewy H. über die partielle differenzengleichungen der mathematische physik［J］. Mathematics Annual, 1928, 100: 32-74.
［4］Von Neumann J, Richtmyer R D. A method for the numerical calculation of hydrodynamical shocks［J］. Journal of Applied Physics, 1950, 21: 232-257.
［5］Lax P D. Hyperbolic systems of conservation laws Ⅱ［J］. Communication for Pure and Applied Mathematics, 1957, 10: 537-566.
［6］Richtmyer R D, Morton K W. Difference Methods for Initial-value Problem［M］. New York: Wiley-Interscience Publishers, 1967.
［7］Hirt C W. Heuristic stability theory for finite-difference equations［J］. Journal of Computational Physics, 1968, 2: 339-355.
［8］Warming R F, Hyett B J. The modified equation approach to the stability and accuracy analysis of finite-difference methods［J］. Journal of Computational Physics, 1974, 14: 159-179.
［9］Kreiss H O. Stability theory for difference approximations of mixed initial boundary value problemsⅠ［J］. Mathematical Computation, 1968, 22: 703-714.
［10］Gustafsson, B, Kreiss H O, Sundström A. Stability theory of difference approximations for mixed initial-boundary-value problems［J］. Mathematical Computation, 1972, 26: 649-686.
［11］Hopf E. The partial differential equation ut+uux=uxx［J］. Communication for Pure and Applied Mathematics, 1950, 3: 201-230.
［12］Phillips N A. The Atmosphere and the Sea in Motion［M］. New York: RocKefeller Institute, 1959.
［13］Zeng Qingcun（曾庆存）. Some problems of the computational stability［J］.Chinese Journal of Atmospheric Sciences（大气科学）, 1978, 2(3): 181-191（in Chinese）.
［14］Zeng Qingcun（曾庆存）, Ji Zhongzhen（季仲贞）. Some problems of the nonlinear computational stability［J］. Acta Mechanica Sinica（力学学报）, 1981, 13(3): 209-217（in Chinese）.
［15］Lorenz E N. Energy and numerical weather prediction［J］. Tellus, 1960, 12(4): 364-373
［16］Shuman F G. Numerical experiments with the primitive equations［A］. In: The Meteorological Society of Japan, ed. Proceedings of International Symposium for Numerical Weather Prediction ［C］. Tokyo: Tokyo University Press, 1962. 255-261.
［17］Lilly D K. On the computational stability of numerical solutions of time-dependent nonlinear geophysical fluid dynamics problems［J］. Monthly Weather Review, 1965, 93(1): 11-26.
［18］Wang Zonghao（王宗皓）. The constructive method of difference scheme for forecast equation［J］. Acta Meteorologica Sinica（气象学报）, 1965, 35(4): 399-407（in Chinese）.
［19］Arakawa A. Computational design for long-term numerical integrations of the equations of atmospheric motion［J］. Journal of Computational Physics, 1966, 1: 119-143.
［20］Jespersen P C. Arakawa's method is a finite element method［J］. Journal of Computational Physics, 1974, 16: 383-390.
［21］Guo Benyu（郭本瑜）, A kind of difference scheme for viscous fluid two-dimension vortex equation［J］. Acta Mathematica Sinica（数学学报）, 1974, 17(4): 412-418（in Chinese）.
［22］Guo Benyu（郭本瑜）. The total energy conservative scheme of atmospheric circulation closed equations and strict estimation of global forecast error［A］. In: Shi Zhongci（石钟慈）, ed. Mathematical Special Ⅰof Chinese Sciences ［C］. Beijing: Science Press, 1979. 29-52（in Chinese）.
［23］Ji Zhongzhen（季仲贞）. The construction of square conservative difference scheme ［A］. In: Liao Dongxian（廖洞贤）, ed. Proceedings of Medium-range Numerical Weather Prediction［C］. Beijing: China Meteorological Press, 1982. 77-86（in Chinese）.
［24］Fornberg B. On the instability of leap frog and Crank-Nicolson approximations of a nonlinear partial differential equation［J］. Mathematical Computation, 1973, 27: 45-57.
［25］Ji Zhongzhen（季仲贞）. An example of nonlinear computational instability for two-dimensional "Lilly scheme"［J］. Chinese Science Bulletin（科学通报）, 1980, 25(19): 890-892.
［26］Zeng Qingcun（曾庆存）, Ji Zhongzhen（季仲贞）. On the computational stability of evolution equations［J］. Chinese Journal of Computational Mathematics（计算数学）, 1981, 3(1): 79-86（in Chinese）.
［27］Ji Zhongzhen（季仲贞）. An example of nonlinear computational instability for Arakawa scheme［J］. Acta Meteorologica Sinica（气象学报）, 1981, 39(2): 237-239（in Chinese）.
［28］Ji Zhongzhen（季仲贞）. A comparative analysis for nonlinear computational stability［J］. Chinese Journal of Atmospheric Sciences（大气科学）, 1981, 4(4): 344-354（in Chinese）.
［29］Ji Zhongzhen（季仲贞）, Zeng Qingcun（曾庆存）. An example of nonlinear computational instability for spectrum expansion method［J］. Chinese Science Bulletin（科学通报）, 1982, 27(20): 1 246-1 248（in Chinese）.
［30］Ji Zhongzhen（季仲贞）. The problem of nonlinear computational instability for computational geophysical fluid dynamics［J］. Advances in Mechanics（力学进展）, 1986, 16(3): 305-318（in Chinese）.
［31］Zeng Qingcun（曾庆存）, Ji Zhongzhen（季仲贞）, Yuan Chongguang（袁重光）. Designs of difference schemes for the primitive［A］. In: Zeng Qingcun（曾庆存）, ed. Proceedings of the Second National Symposium on Numerical Weather Prediction［C］. Beijing: Science Press, 1980. 300-313（in Chinese）.
［32］Zeng Qingcun（曾庆存）, Yuan Chongguang（袁重光）. A spit method to solve equations of weather prediction［J］. Chinese Science Bulletin（科学通报）, 1980, 25(18): 842-845（in Chinese）.
［33］Zeng Qingcun（曾庆存）, Zhang Xuehong（张学洪）. Perfect energy-conservation time-space finite-difference schemes and the consistent split method for solving the dynamical equations of compressible fluid［J］. Science in China (B)（中国科学B辑）,1981, 11(11): 1 355-1 366（in Chinese）.
［34］Ji Zhongzhen（季仲贞）, Zeng Qingcun（曾庆存）. The construction and application of difference schemes of evolution equations［J］. Chinese Journal of Atmospheric Sciences（大气科学）, 1982, 6(1): 8894（in Chinese）. 
［35］Zeng Qingcun, Zhang Xuehong. Available energy-conserving schemes for primitive equations of spherical baroclinic atmosphere［J］. Chinese Journal of Atmospheric Sciences, 1986, 11(2): 121-142.
［36］Zeng Qingcun（曾庆存）, Ji Zhongzhen（季仲贞）, Li Rongfeng（李荣凤）. The construction of difference schemes for evolution equations and the numerical simulation of offshore currents［J］.Chinese Journal of Atmospheric Sciences（大气科学）,1988, (Special Publication)：166-175（in Chinese）.
［37］Wang Bin（王斌）, Ji Zhongzhen（季仲贞）. The construction and preliminary test of the complete square conservative difference schemes［J］. Chinese Science Bulletin（科学通报）, 1990，35(10): 2 247-2 250（in Chinese）.
［38］Ji Zhongzhen（季仲贞）, Wang Bin（王斌）. Further discussion on the construction and application of difference scheme of evolution equations［J］.Chinese Journal of Atmospheric Sciences（大气科学）, 1991, 15(2): 72-78（in Chinese）.
［39］Wang Bin, Ji Zhongzhen. An improved splitting method［J］. Advances in Atmospheric Sciences, 1993, 10(4): 447-452.
［40］Wang Bin（王斌）, Ji Zhongzhen（季仲贞）, Zeng Qingcun（曾庆存）. A kind of time-saving explicit numerical computational method［J］. Chinese Science Bulletin（科学通报）, 1993, 37(24): 766-768.
［41］Wang Bin（王斌）, Ji Zhongzhen（季仲贞）. The harmonious dissipative operators and the completely square conservative difference schemes in an explicit way［J］. Science in China (B)（中国科学B辑）, 1993, 23(6): 665-672（in Chinese）.
［42］Ji Zhongzhen（季仲贞）, Wang Bin（王斌）. A kind of high time-difference precision square conservative schemes: Construction, application and test［J］. Progress in Natural Science（自然科学进展）, 1994, 4(2): 149-157（in Chinese）.
［43］Wang Bin（王斌）, Ji Zhongzhen（季仲贞）. A kind of time-saving economical computational method［J］. Progress in Natural Science（自然科学进展）, 1994, 4(4): 417-422（in Chinese）.
［44］Wang Bin（王斌）, Ji Zhongzhen（季仲贞）, Zeng Qingcun（曾庆存）. A new regional separate computational method［J］. Acta Mechanica Sinica（力学学报）, 1994, 26(5): 530-535（in Chinese）.
［45］Wang Bin（王斌）, Ji Zhongzhen（季仲贞）, Li Rongfeng（李荣凤）. Application of explicit complete square conservative difference schemes for numerical simulation of offshore currents［J］. Tropic Ocean, 1994, 13(3): 1-7（in Chinese）.
［46］Wang Bin（王斌）, Zeng Qingcun（曾庆存）, Ji Zhongzhen（季仲贞）. Square conservation systems and Hamiltonian systems［J］. Science in China (A)（中国科学，A辑）, 1995, 25(7): 765-770（in Chinese）.
［47］Wang Bin, Ji Zhongzhen. A class of explicit forward time-difference square conservative schemes［J］. Acta Mechanica Sinica, 1995, 11(1): 8-14.
［48］Wang Bin（王斌）, Ji Zhongzhen（季仲贞）. A species of explicit complete square conservative difference schemes with adjustable time step intervals［J］. Acta Meteorologica Sinica（气象学报）, 1995, 53(3): 299-305（in Chinese）.
［49］Wang Bin（王斌）, Ji Zhongzhen（季仲贞），Zeng Qingcun（曾庆存）. The symplectic algorithm and test［J］. Progress in Natural Science（自然科学进展）, 1997, 7(6): 668-675（in Chinese）.
［50］Ji Zhongzhen（季仲贞）, Wang Bin（王斌）, Zeng Qingcun（曾庆存）. Some new advances in computational geophysical fluid dynamics［J］. Acta Aerodynamica Sinica（空气动力学学报）, 1998, 16(1): 108-114（in Chinese）.
［51］Ji Zhongzhen（季仲贞）, Li Jing（李京）, Wang Bin（王斌）. The construction and test of compact square conservative schemes［J］. Chinese Journal of Atmospheric Sciences（大气科学）, 1999, 23(3): 323-332（in Chinese）.
［52］Chou Jifan（丑纪范）. Global analysis of the dynamical equations of atmospheric motion［J］. Journal of Beijing Meteorological College（北京气象学院学报）, 1995, (1): 1-12（in Chinese）.
［53］Wang Shouhong（汪守宏）, Huang Jianping（黄建平）, Chou Jifan（丑纪范）. Some properties of solutions for the equations of large-scale atmosphere, nonlinear adjustment to the timeindependent external forcing［J］. Science in China (B)（中国科学B辑）, 1989, 19(3): 328-336（in Chinese）.
［54］Lions J L, Temam R, Wang S. On the equations of large-scale ocean ［J］. Nonlinearity, 1992, 5: 1 007-1 053.
［55］Li Jianping（李建平）, Chou Jifan（丑纪范）. The property of solutions for the equations of largescale atmosphere with the non-stationary external forcing［J］. Chinese Science Bulletin（科学通报）, 1995, 40(13): 1 207-1 209（in Chinese）.
［56］Li Jianping（李建平）, Chou Jifan（丑纪范）. Existence of atmosphere attractor［J］. Science in China (D)（中国科学D辑）,1997，27(1): 89-96（in Chinese）.
［57］Li Jianping, Chou Jifan. Effects of external forcing, dissipation and nonlinearity on the solutions of atmospheric equations［J］. Acta Meteorologica Sinica, 1997, 11(2): 57-65.
［58］Li Janping, Chou Jifan. Further study on the properties of atmospheric equations and the existence of attractor［J］. Acta Meteorologica Sinica, 1997, 11(2): 216-223.
［59］Li Janping（李建平）, Chou Jifan（丑纪范）. Computational stability of the forced dissipative nonlinear atmospheric equations［J］. Chinese Science Bulletin（科学通报）, 1999, 44(2): 214-216（in Chinese）.
［60］Lin Wantao（林万涛）, Ji Zhongzhen（季仲贞）, Wang Bin（王斌）. A new method for judging the computational stability of the difference schemes of non-linear evolution equations［J］. Chinese Science Bulletin（科学通报）, 2000, 45(8): 881-885（in Chinese）.
［61］Lin Wantao（林万涛）, Ji Zhongzhen（季仲贞）, Li Shuanglin（李双林）. A comparative analysis of computational stability for linear and non-linear evolution equations［J］. Progress in Natural Science（自然科学进展）, 2000, 10(10): 936-940（in Chinese）.
［62］Ji Zhongzhen, Lin Wantao, Yang Xiaozhong. Nonlinear computational instability problems of evolution equations［J］. Advances in Atmospheric Sciences, 2001, 18(3): 397-403.
［63］Lin Wantao, Ji Zhongzhen, Wang Bin. Computational stability of the explicit difference schemes of the forced dissipative nonlinear evolution equation［J］. Advances in Atmospheric Sciences, 2001, 18(3): 413-417.[ZK）]
［64］Lin Wantao, Ji Zhongzhen, Wang Bin. Construction of explicit quasi-complete square conservative difference schemes of forced dissipative nonlinear evolution equations［J］. Advances in Atmospheric Sciences, 2001, 18(4): 604-612.
［65］Lin Wantao（林万涛）, Ji Zhongzhen（季仲贞）, Wang Bin（王斌）, et al. A comparative study of the conservative and non-conservative schemes［J］. Progress in Natural Science（自然科学进展）, 2002，12(12): 1 326-1 328（in Chinese）.
［66］Lin Wantao（林万涛）, Ji Zhongzhen（季仲贞）, Wang Bin（王斌）. Computational stability of the explicit difference schemes of the forced dissipative nonlinear evolution equations［J］. Journal of the Graduate School of the Chinese Academy of Sciences（中国科学院研究生院学报）, 2002, 19(4): 362-365（in Chinese）.