The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods
The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Unitary integrators and applications to continuous orthonormalization techniques
SIAM Journal on Numerical Analysis
Runge-Kutta methods for orthogonal and isospectral flows
Applied Numerical Mathematics - Special issue celebrating the centenary of Runge-Kutta methods
Variable step-size techniques in continuous Runge-Kutta methods for isospectral dynamical systems
ICCAM '96 Proceedings of the seventh international congress on Computational and applied mathematics
Numerical solution of isospectral flows
Mathematics of Computation
Numerical methods for Hermitian unitary differential systems
Proceedings of the on Numerical methods for differential equations
On the numerical integration of orthogonal flows with Runge-Kutta methods
Journal of Computational and Applied Mathematics - Proceedings of the 8th international congress on computational and applied mathematics
New embedded explicit pairs of exponentially fitted Runge-Kutta methods
Journal of Computational and Applied Mathematics
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This paper concerns the study of explicit 4-stage fourth order Runge-Kutta methods which preserve quadratic conservation laws when their weights are made solution dependent. Application to orthogonal and Hamiltonian linear systems and numerical tests are also reported.