Sergio Blanes
Numerical Analysis · 2002–2008
A researcher in the Science corpus: 6 papers; trusts 15 researchers and is trusted by 18 researchers here, as inferred from the citation graph.
Subfields
- Numerical Analysis — 14 citations into it; #518 of 3,586 by trust here, #547 by citations
- Computational Mechanics — 7 citations into it
Whom Sergio Blanes trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Arieh Iserles
- Ernst Hairer
- Robert I. McLachlan
- Per Christian Moan
- G. Quispel
- Christian Lubich
- Gerhard Wanner
- Roger A. Horn
- Francesco Bullo
- Mikhail Veshtort
Who trusts Sergio Blanes overall
- Jing‐Bo Chen
- Fernando Casas
- Robert I. McLachlan
- Ronnie Kosloff
- R. Townsend
- Ignacio Duran
- Annabelle Bohrdt
- José Ángel Oteo
- Tomasz R. Bielecki
- G. Quispel
Papers from Sergio Blanes's perspective
Ordered by how strongly the researchers Sergio Blanes trusts endorse each paper. Same corpus, a different order for every researcher.
- Splitting methods (Acta Numerica)
- On the Global Error of Discretization Methods for Highly-Oscillatory Ordinary Differential Equations
- On the numerical quadrature of highly‐oscillating integrals I: Fourier transforms
- Lie-group methods (Acta Numerica)
- Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations
- Practical symplectic partitioned Runge--Kutta and Runge--Kutta--Nyström methods
- Introduction to mechanics and symmetry
- Introduction to Numerical Analysis
- Matrix analysis
- Geometric control of mechanical systems
Their papers
- Practical symplectic partitioned Runge--Kutta and Runge--Kutta--Nyström methods (2002) — 250 citations
- The Magnus expansion and some of its applications (2008) — 1,289 citations
- High Order Optimized Geometric Integrators for Linear Differential Equations (2002) — 64 citations
- Fourth-and sixth-order commutator-free Magnus integrators for linear and non-linear dynamical systems (2006) — 97 citations
- On the necessity of negative coefficients for operator splitting schemes of order higher than two (2005) — 107 citations
- On the convergence and optimization of the Baker–Campbell–Hausdorff formula (2004) — 63 citations