Power geometry

Author:

Bruno A. D.

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Reference56 articles.

1. A. D. Bruno, Local method of nonlinear analysis of differential equations. (Russian)Nauka, Moscow, 1979, English translation: Local methods in nonlinear differential equations.Springer-Verlag, Berlin, 1989.

2. A. D. Bruno and A. Soleev, Local uniformization of branches of a space curve, and Newton polyhedra. (Russian)Algebra i Analiz 3 (1991), No. 1, 67–101, English translation:St. Petersburg Math. J. 3 (1992), No. 1, 53–82.

3. —, First approximations of algebraic equations. (Russian)Dokl. Ros. Akad. Nauk 335 (1994), No. 3, 277–278. English translation:Russ. Acad. Sci., Dokl. Math. 49 (1994), No. 2, 291–293.

4. A. D. Bruno, The Newton polyhedron in the nonlinear analysis. (Russian)Vestn. Mosk. Univ., Ser. 1. (1995), No. 5, 45–51. English translation:Math. Bull. 50 (1995).

5. —, First approximations of differential equations. (Russian)Dokl. Ros. Akad. Nauk 335 (1994), No. 4, 413–416. English translation:Russ. Acad. Sci., Dokl. Math. 49 (1994), No. 2, 334–339.

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Pure quadratization and solution of ordinary differential equations by probabilistic evolution theory with concurrent computation of coefficients using exact arithmetic;Journal of Mathematical Chemistry;2023-12-30

2. Computation and applications of the Newton polyhedrons;Mathematics and Computers in Simulation;2001-09

3. Introduction;Power Geometry in Algebraic and Differential Equations;2000

4. Bibliography;Power Geometry in Algebraic and Differential Equations;2000

5. On complexity of problems of Power Geometry;Power Geometry in Algebraic and Differential Equations;2000

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