A Gautschi-type method for oscillatory second-order differential equations
作者： Marlis Hochbruck , Christian Lubich
关键词:
摘要: … second-order differential equations in which high-frequency oscillations are generated by a linear part. For example, semilinear wave equations … the method admits second-order error …
springer.com
sci-hub.se 参考文章(7)
B. García-Archilla, J. M. Sanz-Serna, R. D. Skeel, Long-Time-Step Methods for Oscillatory Differential Equations SIAM Journal on Scientific Computing. ,vol. 20, pp. 930- 963 ,(1999) , 10.1137/S1064827596313851
Marlis Hochbruck, Christian Lubich, On Krylov Subspace Approximations to the Matrix Exponential Operator SIAM Journal on Numerical Analysis. ,vol. 34, pp. 1911- 1925 ,(1997) , 10.1137/S0036142995280572
Walter Gautschi, Numerical integration of ordinary differential equations based on trigonometric polynomials Numerische Mathematik. ,vol. 3, pp. 381- 397 ,(1961) , 10.1007/BF01386037
Marlis Hochbruck, Christian Lubich, Hubert Selhofer, Exponential Integrators for Large Systems of Differential Equations SIAM Journal on Scientific Computing. ,vol. 19, pp. 1552- 1574 ,(1998) , 10.1137/S1064827595295337
Linda R. Petzold, Laurent O. Jay, Jeng Yen, Numerical solution of highly oscillatory ordinary differential equations Acta Numerica. ,vol. 6, pp. 437- 483 ,(1997) , 10.1017/S0962492900002750
James R. Angelos, Carl C. Cowen, Sivaram K. Narayan, Triangular truncation and finding the norm of a Hadamard multiplier Linear Algebra and its Applications. ,vol. 170, pp. 117- 135 ,(1992) , 10.1016/0024-3795(92)90414-6
Vladimir Druskin, Leonid Knizhnerman, Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic Numerical Linear Algebra With Applications. ,vol. 2, pp. 205- 217 ,(1995) , 10.1002/NLA.1680020303