Presentations at
conferences and workshops
- A short introduction to splitting methods for differential equations.
NonLinear 2023
(CRM, Barcelona, Spain, June 2023).
- On a class of reversible splitting methods for unitary problems.
Multiscale methods and analysis for dispersive PDEs and applications to quantum materials
(Singapore, February 2023).
- Some (more) remarks on the Magnus expansion.
Theoretical and comutational aspects of dynamical systems
(Trysil, Norway, December 2022).
- A unifying framework for
perturbative exponential transformations. Computational
Mathematics for Quantum Technologies CMQT22 (Bath, United
Kingdom, August 2022).
- Symmetric-conjugate splitting
methods for unitary problems. SciCADE22, 2022 International
Conference on Scientific Computation and Differential
Equations (Reykjavick, Iceland, July 2022).
- Applying splitting methods with
complex coefficients for solving the Schrödinger equation. Normal
forms and splitting methods (Pornichet, France, June
2021).
- Composition methods for the time
integration of kinetic equations. The future of
structure-preserving algorithms (International Centre for
Mathematical Sciences, Edinburgh, Scotland, October 2019).
- More on composition methods: error
estimation and pseudo-symmetry. Geometry,
compatibility and structure preservation in computational
differential equations (Isaac Newton Institute for
Mathematical Sciences, Cambridge, United Kingdom, August 2019).
- Continuous changes of variables
and the Magnus expansion. SciCADE19, 2019 International
Conference on Scientific Computation and Differential
Equations (Innsbruck, Austria, July 2019).
- Composition methods for the time
integration of kinetic equations. International Congress of
Industrial and Applied Mathematics (ICIAM) 2019 (Valencia,
Spain, July 2019).
- Splitting and composition methods
with embedded error estimators. Numerical Methods for
Multiscale PDEs (Cargese, Corsica, France, September
2018).
- On quantum perturbation theory and
time averaging. Modern Numerical Methods for Quantum
Mechanics II (Gdansk, Poland, June 2018).
- Explicit exponential
representations of linear and nonlinear flows. Méthodes
Numériques Géométriques et Multi-Échelles (Centre Henri
Lebesgue, Rennes, June 2018).
- Iterated integrals, algebra of
permutations and the Magnus expansion. SciCADE17, 2017 International Conference on
Scientific Computation and Differential Equations. (Bath, United Kingdom,
September 2017)
- Exponential perturbation
expansions and geometric numerical integration. Forum on
Scientific and Engineering Computing 2017 (Chinese
Academy of Sciences, Beijing, May 2017).
- An efficient numerical integrator
for the neutrino oscillations problem in matter. Modern
Numerical Methods for Quantum Mechanics (Polish Academy
of Sciences, Warwaw, March 2017).
- Splitting methods for systems
separable in more than two pieces. Biennial Congress of the
RSME 2017 (Zaragoza, January 2017).
- An introduction to Geometric
Numerical Integration (in five lectures). (ICMAT, Madrid, July
2016).
- Splitting methods (with
processing) for near-integrable problems. Workshop on Geometric Numerical
Integration. (Mathematisches Forschunsinstitut
Oberwolfach, Germany, March 2016).
- High-order splitting methods for
the time integration of the Vlasov-Poisson equation. Workshop
on Trends in Computational Mathematics (TCM2016). (Hong
Kong, China, January 2016).
- Splitting methods for systems
separated into three parts. IPSO Workshop. (Dinard,
France, December 2015).
- Unconventional exponential methods
for non-autonomous linear equations. SciCADE15, 2015 International Conference on
Scientific Computation and Differential Equations. (Potsdam, Germany, September
2015).
- A new generation of symplectic
integrators for perturbed systems. SciCADE15, 2015 International Conference on
Scientific Computation and Differential Equations. (Potsdam, Germany, September
2015).
- On some identities involving
exponentials. Brainstorming Workshop on New Developments in
Discrete Mechanics, Geometric Integration and Lie-Butcher
series. (ICMAT, Madrid, Spain, May 2015).
- On some splitting methods
involving high order derivatives. SciCADE13, 2013 International
Conference on Scientific Computation and Differential
Equations. (Valladolid, Spain, September 2013).
- A short course on Geometric
Numerical Integration in 5 lectures. Texas A&M
University at Qatar. (Doha, Qatar, June 2013).
- Efficient computation of the
Zassenhaus formula. Meeting in Numerical Analysis in
celebration of Arieh Iserles's 65th birthday. (Lom,
Norway, August 2012).
- New families of splitting methods
with complex coefficients: analysis and applications. ICIAM 2011 - 7th International
Congress on Industrial and Applied Mathematics. (Vancouver, Canada, July 2011).
- Unitary transformations depending
on a small parameter. Workshop
on Geometric Numerical Integration. (Mathematisches
Forschunsinstitut Oberwolfach, Germany, March 2011).
- Processed splitting methods in
path integral Monte Carlo simulations. 8th AIMS International Conference on Dynamical
Systems, Differential Equations and Applications. (Dresden,
Germany, May 2010).
- The Magnus expansion for nonlinear
differential equations.
Workshop on Combinatorics and Control. CoCo 2010.
(CSIC, Madrid, Spain, April 2010).
- Some applications of conjugacy in
geometric numerical integration. SciCADE09, 2009 International Conference on
Scientific Computation and Differential Equations. (Beijing, China, May 2009).
- The Magnus expansion and its
physical applications. Workshop
on High-order actions and their applications in many-body,
few-body, classical problems. (Barcelona, Spain, March
2009).
- Splitting methods in geometric
numerical integration of differential equations. Workshop on Stability and
Instability in Mechanical Systems: Applications and Numerical
Tools. (Barcelona, Spain, December 2008).
- Splitting methods for oscillatory
linear nonautonomous differential equations. Foundations of Computational
Mathematics Conference. (Hong Kong, China, June 2008).
- On the BCH formula and related
expansions. SciCADE07,
2007 International Conference on Scientific Computation and
Differential Equations. (Saint Malo, France, July 2007).
- The Magnus expansion in the
adiabatic picture. Effective
Computational Methods for Highly Oscillatory Problems.
(Isaac Newton Institute for the Mathematical Sciences,
Cambridge, United Kingdom, July 2007).
- On the convergence of Magnus (and
related) expansions. Workshop
on Applying Geometric Integrators. (Edinburgh,
Scotland, April 2007).
- Explicit Magnus expansions for
nonlinear equations. Conference
on Foundations of Computational Mathematics, FoCM2005. (Santander,
Spain, 2005).
- New numerical integrators based on
solvability and splitting. Lie
group methods and control theory. (Edinburgh, Scotland,
April 2004).
- Convergence and optimization of
the BCH formula. SciCADE
2003: International Conference on Scientific Computation and
Differential Equations. (Trondheim, Norway, June 2003).
- Optimized Lie-group methods for
differential equations. Conference
on Scientific Computation celebrating G. Wanner's 60th
birthday. (Geneva, Switzerland, 2002).
- Optimization of Lie group methods.
Geometry, Symmetry and
Mechanics. (Lisbon, Portugal, 2001).
- Geometric integrators with
processing. LMS Durham
Symposium on Geometric Integration. (Durham, United
Kingdom, 2000).
- Optimal high order integrators
based on Magnus expansion. Conference
on Foundations of Computational Mathematics, FoCM1999. (Oxford,
United Kingdom, 1999).
- High order numerical integration
algorithms based on Magnus expansion. International Congress on Computational and Applied
Mathematics. (Leuven, Belgium, 1998).
- Controlling chaotic impacts. International Workshop on
Synchronization, Pattern Formation and Spatio-Temporal Chaos
in Coupled Chaotic Oscillators. (Santiago de
Compostela, Spain, 1998).
- New methods of symplectic
integration with processing. 17th
Dundee Biennial Conference on Numerical Analysis.
(Dundee, Scotland, 1997).
Seminars (since
2017)
- Symmetric-conjugate composition
methods in the numerical integration of differential equations.
University of California, Berkeley, 10 March 2021 (on line)
- A short introduction to Geometric
Numerical Integration. RedIUM Seminars Program, 10 February
2021.
- Compositions of pseudo-symmetric
integrators with complex coefficients in the numerical
integration of differential equations. Chalmers University, 15
October 2020 (on line).
- More on composition methods: error
estimation and pseudo-symmetry. Isaac Newton Institute for
Mathematical Sciences, Cambridge, 22 August 2019.
- Splitting and composition methods
with embedded error estimators. Aix Marseille Université, 22
January 2019.
- On some Geometric Integration
techniques for kinetic plasma models. UPMC Sorbonne Universités,
4 December 2018.
- Splitting and composition methods
with embedded error estimators. IRMAR, Rennes, 29 November 2018.
- Time-dependent perturbation theory
in matrix mechanics and time averaging. Wolfgang Pauli
Institute, Wien, March 2017.