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Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems

Communications in nonlinear science & numerical simulation, 2015-03, Vol.20 (3), p.650-667

2015

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A simple framework for the derivation and analysis of effective one-step methods for ODEs

Applied mathematics and computation, 2012-05, Vol.218 (17), p.8475-8485

2012

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A note on the efficient implementation of Hamiltonian BVMs

Journal of computational and applied mathematics, 2011-09, Vol.236 (3), p.375-383

2011

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ENERGY- AND QUADRATIC INVARIANTS-PRESERVING INTEGRATORS BASED UPON GAUSS COLLOCATION FORMULAE

SIAM journal on numerical analysis, 2012-01, Vol.50 (6), p.2897-2916

2012

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The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: The case of symplecticity

Applied mathematics and computation, 2012-04, Vol.218 (16), p.8056-8063

2012

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Continuing the War Against Domestic Violence

Ross, Lee E.

Second edition., 2014

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A two-step, fourth-order method with energy preserving properties

Computer physics communications, 2012-09, Vol.183 (9), p.1860-1868

2012

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Continued fractions as dynamical systems

Applied mathematics and computation, 2012-04, Vol.218 (16), p.8203-8216

2012

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Difference equations and continued fractions

Nonlinear analysis, 2008-08, Vol.69 (3), p.1057-1066

Trigiante, Donato

2008

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Reprint of Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems

Communications in nonlinear science & numerical simulation, 2015-04, Vol.21 (1-3), p.34-51

2015

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Difference equations and continued fractions: Trends in nonlinear analysis

Nonlinear analysis, 2008, Vol.69 (3), p.1057-1066

TRIGIANTE, Donato

2008

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Discrete mathematics, discrete physics and numerical methods

Matematiche, 2007-12, Vol.62 (2), p.219-234

2007

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Continued fractions without fractions: Lagrange theorem and Pell equations

Nonlinear analysis, 2009-12, Vol.71 (12), p.e2136-e2151

2009

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The continuous extension of the B-spline linear multistep methods for BVPs on non-uniform meshes

Applied numerical mathematics, 2009-03, Vol.59 (3), p.723-738

2009

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B-Spline Linear Multistep Methods and Their Continuous Extensions

SIAM journal on numerical analysis, 2006-01, Vol.44 (5), p.1954-1973

2006

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Hamiltonian BVMs (HBVMs): A Family of 'Drift Free' Methods for Integrating polynomial Hamiltonian problems

AIP conference proceedings, 2009, Vol.1168 (2), p.715-718

2009

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A note on the efficient implementation of Hamiltonian BVMs: Aspects of Numerical Algorithms, Parallelization and Applications

Journal of computational and applied mathematics, 2011, Vol.236 (3), p.375-383

2011

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On the Periodic Solutions of Discrete Hamiltonian Systems

AIP conference proceedings, 2009, Vol.1168 (2), p.707-710

2009

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State-dependent symplecticity and area preserving numerical methods: Evolutionary problems

Journal of computational and applied mathematics, 2007, Vol.205 (2), p.814-825

2007

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Yaroslav D. Sergeyev: Arithmetic of infinity: Edizioni Orizzonti Meridionali, 2003, 112 pp., ISBN 88-89064-01-3

Computational management science, 2007-01, Vol.4 (1), p.85-86

Trigiante, Donato

2007

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A Hybrid Mesh Selection Strategy Based on Conditioning for Boundary Value ODE Problems

Numerical algorithms, 2004-06, Vol.36 (2), p.169-187

2004

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State-dependent symplecticity and area preserving numerical methods

Journal of computational and applied mathematics, 2007-08, Vol.205 (2), p.814-825

2007

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10995

The American mathematical monthly, 2003-02, Vol.110 (2), p.156

Trigiante, Donato

2003

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The Matrices of Pascal and Other Greats

The American mathematical monthly, 2001-03, Vol.108 (3), p.232

2001

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BS Methods: A New Class of Spline Collocation BVMs

Numerical Analysis and Applied Mathematics (AIP Conference Proceedings Volmue 1048), 2008, Vol.1048, p.892-895

2008

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Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems

A simple framework for the derivation and analysis of effective one-step methods for ODEs

A note on the efficient implementation of Hamiltonian BVMs

ENERGY- AND QUADRATIC INVARIANTS-PRESERVING INTEGRATORS BASED UPON GAUSS COLLOCATION FORMULAE

The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: The case of symplecticity

Continuing the War Against Domestic Violence

A two-step, fourth-order method with energy preserving properties

Continued fractions as dynamical systems

Difference equations and continued fractions

Reprint of Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems

Difference equations and continued fractions: Trends in nonlinear analysis

Discrete mathematics, discrete physics and numerical methods

Continued fractions without fractions: Lagrange theorem and Pell equations

The continuous extension of the B-spline linear multistep methods for BVPs on non-uniform meshes

B-Spline Linear Multistep Methods and Their Continuous Extensions

Hamiltonian BVMs (HBVMs): A Family of 'Drift Free' Methods for Integrating polynomial Hamiltonian problems

A note on the efficient implementation of Hamiltonian BVMs: Aspects of Numerical Algorithms, Parallelization and Applications

On the Periodic Solutions of Discrete Hamiltonian Systems

State-dependent symplecticity and area preserving numerical methods: Evolutionary problems

Yaroslav D. Sergeyev: Arithmetic of infinity: Edizioni Orizzonti Meridionali, 2003, 112 pp., ISBN 88-89064-01-3

A Hybrid Mesh Selection Strategy Based on Conditioning for Boundary Value ODE Problems

State-dependent symplecticity and area preserving numerical methods

10995

The Matrices of Pascal and Other Greats

BS Methods: A New Class of Spline Collocation BVMs

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