Variable step-size techniques in continuous Runge-Kutta methods for isospectral dynamical systems
DOI10.1016/S0377-0427(97)00048-4zbMath0884.65084MaRDI QIDQ1372040
C. Mastroserio, Luciano Lopez, Tiziano Politi
Publication date: 12 March 1998
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
eigenvaluesnumerical testsgradient flowsymmetric matrixvariable stepsizeisospectral flowpotential functioncontinuous Runge-Kutta methodsdouble bracket flow
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Dynamics induced by flows and semiflows (37C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
Related Items
Cites Work
- Time-stepping and preserving orthonormality
- Theory of nonlinear lattices
- Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems
- Ordinary Differential Equations and the Symmetric Eigenvalue Problem
- Differential Equations and the $QR$ Algorithm
- Natural Continuous Extensions of Runge-Kutta Methods
- One-Step Collocation: Uniform Superconvergence, Predictor-Corrector Method, Local Error Estimate
- Unitary Integrators and Applications to Continuous Orthonormalization Techniques
- Numerical Gradient Algorithms for Eigenvalue and Singular Value Calculations
- Numerical solution of isospectral flows
- The Toda lattice. II. Existence of integrals
- Integrals of nonlinear equations of evolution and solitary waves
- Order Barriers for Continuous Explicit Runge-Kutta Methods
- Runge-Kutta methods for orthogonal and isospectral flows
- Nonlinear wave equations and constrained harmonic motion
- Unnamed Item
