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Structure-Preserving Algorithms for Oscillatory Differential Equations describes a large number of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation. Structure-preserving algorithms for differential equations, especially for oscillatory differential equations, play an important role in the accurate simulation of oscillatory problems in applied sciences and engineering. The book discusses novel advances in the ARKN, ERKN, two-step ERKN, Falkner-type and energy-preserving methods, etc. for oscillatory differential equations. The work is intended for scientists, engineers, teachers and students who are interested in structure-preserving algorithms for differential equations. Xinyuan Wu is a professor at Nanjing University; Xiong You is an associate professor at Nanjing Agricultural University; Bin Wang is a joint Ph.D student of Nanjing University and University of Cambridge.

Algorithms. --- Differential equations. --- Equations, Simultaneous. --- Differential equations, Nonlinear --- Mathematics --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Physical Sciences & Mathematics --- Civil Engineering --- Applied Mathematics --- Calculus --- Numerical solutions --- Mathematics. --- Numerical solutions. --- Math --- Engineering. --- Computer mathematics. --- Physics. --- Applied mathematics. --- Engineering mathematics. --- Appl.Mathematics/Computational Methods of Engineering. --- Theoretical, Mathematical and Computational Physics. --- Computational Science and Engineering. --- Science --- Numerical analysis --- Computer science. --- Mathematical and Computational Engineering. --- Informatics --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematical physics. --- Computer mathematics --- Electronic data processing --- Physical mathematics --- Physics