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图书信息
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高振荡微分方程几何积分法
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ISBN: | 9787030671127 |
定价: | ¥199.00 |
作者: | Xinyuan Wu,Bin Wang[著] |
出版社: | 科学出版社 |
出版时间: | 2021年01月 |
开本: | 24cm |
页数: | 13,450页 |
装祯: | 精装 |
中图法: | O175 |
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6
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2024-04-19
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图书简介 | The subject of this book is geometric integrators for differential equations with highly oscillatory solutions, including oscillation-preserving integrators, continuous-stage ERKN integrators, nonlinear stability and convergence analysis of ERKN integrators, functionally-fitted energy-preserving integrators, exponential collocation methods, volume-preserving exponential integrators, global error bounds of one-stage ERKN integrators for semilinear wave equations, linearly-fitted conservative/dissipative integrators, energy-preserving schemes for Klein–Gordon equations, Hermite–Birkhoff time integrators for Klein–Gordon equations, symplectic approximations for Klein–Gordon equations, continuous-stage modified leap-frog scheme for high-dimensional Hamiltonian wave equations, semi-analytical exponential RKN integrators,long-time momentum and actions behaviour of energy-preserving methods.The new geometric integrators are applied to problems with highly oscillatory solutions from sciences and engineering. |
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