Bibliography
Asimov I (1988) Asmov’s biographical encyclopedia of science & technology. Science Press,
Beijing (in Chinese)
Bi D (1985) The theory of electromagnetic fields. Publishing House of Electronics Industry, Beijing
(in Chinese)
Brownstein KR (1976) Quantum mechanical momentum operators and Hamilton’s variational
principle. Am J Phys 44(7):677–679
Brownstein KR (1984) Variational principle for electromagnetic problems in a linear, static,
inhomogeneous anisotropic medium. J Math Phys 25(6):1784–1786
Bruhn Andrés, Weickert Joachim (2005) Lucas/Kanade Meets Horn/Schunck: combining local and
global optic flow methods. Int J Comput Vis 61(3):211–231
Chen J (1987) Essentials of modern analytic mathematics. Tsinghua University Press, Beijing (in
Chinese)
Chen W (1989) The variational principles of mechanics. Tongji University Press, Shanghai (in
Chinese)
Chen S, Zhou K, Li L (1990) The variational principle of Edding current problems in an
electromagnetic field. J Huazhong Univ Sci Technol 18(4):23–29 (in Chinese)
Cheng C (1995) Elastic mechanics. Lanzhou University Press, Lanzhou (in Chinese)
Chien W (1980) Variational principles and finite element methods, vol I. Science Press, Beijing (in
Chinese)
Chien W (1984) Classification of variational principles in elasticity. Appl Math Mech 5(5):765–770
(in Chinese)
Courant R, Hilbert D (1958) Methods of mathematical physics, vol I (trans: Qian M, Guo D).
Science Press, Beijing (in Chinese)
Daniel S (2003) Vortex motion law for the Schrödinger–Ginzburg–Landau equations. SIAM J Math
Anal Soc Ind Appl Math 34(6):1435–1476
Deng Z (1990) The mathematician dictionary. Hubei Education Press, Wuhan (in Chinese)
Du R (2000) A dictionary of history of mathematics. Shandong Education Press, Jinan (in Chinese)
Dym CL, Shames IH (1984) Solid mechanics: a variational approach (trans: Yuan Z, Yao J, Ying
D). China Railway Publishing House, Beijing (in Chinese)
Fang T, Zhang Y (1986) On the variation method of torsional problems of a large-curvatured rod.
J South China Inst Technol 14(2):103–112 (in Chinese)
Feng C, Zhao Y, He H (1986) Vector and tensor analysis. National Defense Industry Press, Beijing
(in Chinese)
Freiman M, Joskowicz L, Sosna J (2009) A variational method for vessels segmentation: algorithm
and application to liver vessels visualization. Proc SPIE 7261(72610H):1–8
Freund LB (2007) A variational principle governing the generating function for conformations of
flexible molecules. J Appl Mech 74:421–426
© Beijing Institute of Technology Press and Springer Nature Singapore Pte Ltd. 2021
D. Lao and S. Zhao, Fundamental Theories and Their Applications of the Calculus
of Variations, https://doi.org/10.1007/978-981-15-6070-5
973
Asimov I (1988) Asmov’s biographical encyclopedia of science & technology. Science Press,
Beijing (in Chinese)
Bi D (1985) The theory of electromagnetic fields. Publishing House of Electronics Industry, Beijing
(in Chinese)
Brownstein KR (1976) Quantum mechanical momentum operators and Hamilton’s variational
principle. Am J Phys 44(7):677–679
Brownstein KR (1984) Variational principle for electromagnetic problems in a linear, static,
inhomogeneous anisotropic medium. J Math Phys 25(6):1784–1786
Bruhn Andrés, Weickert Joachim (2005) Lucas/Kanade Meets Horn/Schunck: combining local and
global optic flow methods. Int J Comput Vis 61(3):211–231
Chen J (1987) Essentials of modern analytic mathematics. Tsinghua University Press, Beijing (in
Chinese)
Chen W (1989) The variational principles of mechanics. Tongji University Press, Shanghai (in
Chinese)
Chen S, Zhou K, Li L (1990) The variational principle of Edding current problems in an
electromagnetic field. J Huazhong Univ Sci Technol 18(4):23–29 (in Chinese)
Cheng C (1995) Elastic mechanics. Lanzhou University Press, Lanzhou (in Chinese)
Chien W (1980) Variational principles and finite element methods, vol I. Science Press, Beijing (in
Chinese)
Chien W (1984) Classification of variational principles in elasticity. Appl Math Mech 5(5):765–770
(in Chinese)
Courant R, Hilbert D (1958) Methods of mathematical physics, vol I (trans: Qian M, Guo D).
Science Press, Beijing (in Chinese)
Daniel S (2003) Vortex motion law for the Schrödinger–Ginzburg–Landau equations. SIAM J Math
Anal Soc Ind Appl Math 34(6):1435–1476
Deng Z (1990) The mathematician dictionary. Hubei Education Press, Wuhan (in Chinese)
Du R (2000) A dictionary of history of mathematics. Shandong Education Press, Jinan (in Chinese)
Dym CL, Shames IH (1984) Solid mechanics: a variational approach (trans: Yuan Z, Yao J, Ying
D). China Railway Publishing House, Beijing (in Chinese)
Fang T, Zhang Y (1986) On the variation method of torsional problems of a large-curvatured rod.
J South China Inst Technol 14(2):103–112 (in Chinese)
Feng C, Zhao Y, He H (1986) Vector and tensor analysis. National Defense Industry Press, Beijing
(in Chinese)
Freiman M, Joskowicz L, Sosna J (2009) A variational method for vessels segmentation: algorithm
and application to liver vessels visualization. Proc SPIE 7261(72610H):1–8
Freund LB (2007) A variational principle governing the generating function for conformations of
flexible molecules. J Appl Mech 74:421–426
© Beijing Institute of Technology Press and Springer Nature Singapore Pte Ltd. 2021
D. Lao and S. Zhao, Fundamental Theories and Their Applications of the Calculus
of Variations, https://doi.org/10.1007/978-981-15-6070-5
973