J. Franco

Numerical Analysis · with Calvo · 2002–2010

A researcher in the Science corpus: 8 papers; trusts 5 researchers and is trusted by 11 researchers here, as inferred from the citation graph.

Subfields

• Numerical Analysis — 25 citations into it; #429 of 3,586 by trust here, #739 by citations
• Computational Mechanics — 8 citations into it; #3,200 of 10,001 by trust here, #5,567 by citations

Whom J. Franco trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Ernst Hairer
2. Guido Van den Berghe
3. Gerhard Wanner
4. Syvert P. Nørsett
5. Manuel Calvo

Who trusts J. Franco overall

1. Yuto Miyatake
2. Xinyuan Wu
3. Hans Van De Vyver
4. Bin Wang
5. Jianlin Xia
6. Manuel Calvo
7. T. E. Simos
8. Yonglei Fang

Papers from J. Franco's perspective

Ordered by how strongly the researchers J. Franco trusts endorse each paper. Same corpus, a different order for every researcher.

1. Frequency determination and step-length control for exponentially-fitted Runge---Kutta methods
2. Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations
3. Structure preservation of exponentially fitted Runge-Kutta methods
4. Exponentially fitted Runge-Kutta methods
5. On the Construction and Comparison of Difference Schemes
6. Splitting methods (Acta Numerica)
7. Discrete mechanics and variational integrators (Acta Numerica)
8. Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
9. THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
10. Linear energy-preserving integrators for Poisson systems

Their papers

• Structure preservation of exponentially fitted Runge-Kutta methods (2008) — 93 citations
• Exponentially fitted explicit Runge-Kutta-Nyström methods (2004) — 131 citations
• An embedded pair of exponentially fitted explicit Runge-Kutta methods (2002) — 54 citations
• New methods for oscillatory systems based on ARKN methods (2006) — 164 citations
• On high order symmetric and symplectic trigonometrically fitted Runge-Kutta methods with an even number of stages (2010) — 63 citations
• Accuracy and linear stability of RKN methods for solving second-order stiff problems (2009) — 70 citations
• Sixth-order symmetric and symplectic exponentially fitted Runge-Kutta methods of the Gauss type (2009) — 99 citations
• Runge–Kutta–Nyström methods adapted to the numerical integration of perturbed oscillators (2002) — 191 citations