ARBITRARILY HIGH-ORDER ENERGY-CONSERVING METHODS FOR HAMILTONIAN PROBLEMS WITH QUADRATIC HOLONOMIC CONSTRAINTS  

作　　者：Pierluigi Amodio Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro 

机构地区：[1]Dipartimento di Matematica,Università di Bari,Italy [2]Dipartimento di Matematica e Informatica"U.Dini",Università di Firenze,Italy [3]Dipartimento di Matematica,Università di Salerno,Italy

出　　处：《Journal of Computational Mathematics》2024年第4期1145-1171,共27页计算数学（英文）

摘　　要：In this paper,we define arbitrarily high-order energy-conserving methods for Hamilto-nian systems with quadratic holonomic constraints.The derivation of the methods is made within the so-called line integral framework.Numerical tests to illustrate the theoretical findings are presented.

关 键 词：Constrained Hamiltonian systems Quadratic holonomic constraints Energy-conserving methods Line integral methods Hamiltonian Boundary Value Methods HB-VMs 

分 类 号：O31[理学—一般力学与力学基础]