Structure-preserving algorithms for oscillatory differential equations II. (2015)

• Record Type: Book
• Further Information: Note: Xinyuan Wu, Kai Liu, Wei Shi.
• Authors: Wu, Xinyuan; Liu, Kai, 1964-; Shi, Wei
• Contents: Matrix-variation-of-constants formula -- Improved St ̈ormer-Verlet formulae with applications -- Improved Filon-type asymptotic methods for highly oscillatory differential equations -- Efficient energy-preserving integrators for multi-frequency oscillatory Hamiltonian systems -- An extended discrete gradient formula for multi-frequency oscillatory Hamiltonian systems -- Trigonometric Fourier collocation methods for multi-frequency oscillatory systems -- Error bounds for explicit ERKN integrators for multi-frequency oscillatory systems -- Error analysis of explicit TSERKN methods for highly oscillatory systems -- Highly accurate explicit symplectic ERKN methods for multi-frequency oscillatory Hamiltonian systems -- Multidimensional ARKN methods for general multi-frequency oscillatory second-order IVPs -- A simplified Nystr ̈om-tree theory for ERKN integrators solving oscillatory systems -- An efficient high-order explicit scheme for solving Hamiltonian nonlinear wave equations.
• Publisher Details: Berlin Beijing : Springer Science Press
• Publication Date: 2015
• Extent: 1 online resource, illustrations (some color)
• Subjects: 515/.355; Differential equations, Nonlinear -- Numerical solutions; MATHEMATICS -- Differential Equations -- General; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Differential equations, Nonlinear -- Numerical solutions; Electronic books
• Languages: English
• ISBNs: 9783662481561; 3662481561
• Related ISBNs: 9783662481554; 9787030439185; 3662481553
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed March 7, 2016).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.