Titlebook: Structure-Preserving Algorithms for Oscillatory Differential Equations; Xinyuan Wu,Xiong You,Bin Wang Book 2013 Science Press Beijing and

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Xinyuan Wu,Xiong You,Bin Wangth direct conductivity, without any barrier. These contacts are usually called point contacts as their lateral dimension should be smaller than some microscopic lengths such as the coherence length in superconductors and the inelastic mean free path of conduction electrons in normal metals. Some of

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th direct conductivity, without any barrier. These contacts are usually called point contacts as their lateral dimension should be smaller than some microscopic lengths such as the coherence length in superconductors and the inelastic mean free path of conduction electrons in normal metals. Some of

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978-3-642-44556-9Science Press Beijing and Springer-Verlag Berlin Heidelberg 2013

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https://doi.org/10.1007/978-3-642-35338-3ARKN Method; ERKN Method; Second-order Oscillatory Differential Equation; Structure-preserving Algorith

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,Runge–Kutta (–Nyström) Methods for Oscillatory Differential Equations,tic RK and RKN methods for Hamiltonian systems are also recalled. Some comments are given on structure-preserving methods, especially exponentially/trigonometrically fitted methods, for solving oscillatory problems. Finally, the contents and the structure of the whole book are described.

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Two-Step Multidimensional ERKN Methods,es defined on the subset .. of .. Three explicit TSERKN methods are constructed and their stability and phase properties are analyzed. Numerical experiments show the applicability and efficiency of the new methods in comparison with the well-known high quality methods proposed in the literature.