Line integral methods for conservative problems. (2015)

• Record Type: Book
• Further Information: Note: Luigi Brugnano, Felice Iavernaro.
• Authors: Brugnano, L (Luigi); Iavernaro, Felice, 1967-
• Contents: A Primer on Line Integral Methods; A general framework; Geometric integrators; Hamiltonian problems; Symplectic methods; s -stage trapezoidal methods; Runge–Kutta line integral methods Examples of Hamiltonian Problems; Nonlinear pendulum; Cassini ovals; Hénon–Heiles problem; N -body problem; Kepler problem; Circular restricted three-body problem; Fermi–Pasta–Ulam problem; Molecular dynamics Analysis of Hamiltonian Boundary Value Methods (HBVMs); Derivation and analysis of the methods; Runge–Kutta formulation; Properties of HBVMs; Least square approximation and Fourier expansion; Related approaches Implementing the Methods and Numerical Illustrations ; Fixed-point iterations; Newton-like iterations; Recovering round-off and iteration errors; Numerical illustrations Hamiltonian Partial Differential Equations ; The semilinear wave equation; Periodic boundary conditions; Nonperiodic boundary conditions; Numerical tests; The nonlinear Schrödinger equation Extensions; Conserving multiple invariants; General conservative problems; EQUIP methods; Hamiltonian boundary value problems Appendix: Auxiliary Material Bibliography Index
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2015
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 515.354; Differential equations, Linear; Boundary value problems; Integral equations
• Languages: English
• ISBNs: 9781482263855
• Related ISBNs: 9781482263848
• Notes: Note: Description based on CIP data; item not viewed.
• 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.