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· 제목 : Geometric Integrators for Differential Equations with Highly Oscillatory Solutions (Hardcover)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수리분석
· ISBN : 9789811601460
· 쪽수 : 499쪽
· 출판일 : 2021-09-29
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수리분석
· ISBN : 9789811601460
· 쪽수 : 499쪽
· 출판일 : 2021-09-29
목차
1 Oscillation-preserving integrators for highly oscillatory systems of second-order ODEs
2 Continuous-stage ERKN integrators for second-order ODEs with highly oscillatory solutions
3 Stability and convergence analysis of ERKN integrators for second-order ODEs with highly oscillatory solutions
4 Functionally-fitted energy-preserving integrators for Poisson systems
5 Exponential collocation methods for conservative or dissipative systems
6 Volume-preserving exponential integrators
7 Global error bounds of one-stage explicit ERKN integrators for semilinear wave equations
8 Linearly-fitted conservative (dissipative) schemes for nonlinear wave equations
9 Energy-preserving schemes for high-dimensional nonlinear KG equations
10 High-order symmetric Birkhoff?Hermite time integrators for semilinear KG equations
11 Symplectic approximations for efficiently solving semilinear KG equations
12 Continuous-stage leap-frog schemes for semilinear Hamiltonian wave equations
13 Semi-analytical ERKN integrators for solving high-dimensional nonlinear wave equations
14 Long-time momentum and actions behaviour of energy-preserving methods for wave equations
