S. Blanes

Splitting methods with complex coefficients for linear and nonlinear evolution equations
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Families of efficient low order processed composition methods
20242 citationsauthor #1
Reformulating polarized radiative transfer for astrophysical applications (I). A formalism allowing non-local Magnus solutions
20240 citationsauthor #2
Splitting methods for differential equations
202440 citationsauthor #1
Symmetric-conjugate splitting methods for evolution equations of parabolic type
20245 citationsauthor #1
Symmetric-conjugate splitting methods for linear unitary problems
202310 citationsauthor #2
Generalization of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type
20232 citationsauthor #1
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation
20234 citationsauthor #1
Generalized extrapolation methods based on compositions of a basic 2nd-order scheme
20232 citationsauthor #1
Parallel Computation of functions of matrices and their action on vectors
20221 citationsauthor #1
Runge-Kutta-Nyström symplectic splitting methods of order 8
20226 citationsauthor #2
Novel parallel in time integrators for ODEs
20214 citationsauthor #1
Preface for the special issue “Geometric numerical integration, twenty-five years later”
20210 citationsauthor #1
Positivity-preserving methods for ordinary differential equations
202138 citationsauthor #1
On symmetric-conjugate composition methods in the numerical integration of differential equations
202113 citationsauthor #1
Positivity-preserving methods for population models
20213 citationsauthor #1
An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation
202111 citationsauthor #2
Propagators for Quantum-Classical Models: Commutator-Free Magnus Methods.
20204 citationsauthor #2
Performance of fourth and sixth-order commutator-free Magnus expansion integrators for Ehrenfest dynamics
20201 citationsauthor #2
High order efficient splittings for the semiclassical time-dependent Schrödinger equation
202010 citationsauthor #1
Computing the matrix sine and cosine simultaneously with a reduced number of products
20209 citationsauthor #3
Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling
20206 citationsauthor #1
Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear Schrödinger equations
20205 citationsauthor #1
Simulation of bimolecular reactions: Numerical challenges with the graph Laplacian
20202 citationsauthor #2
Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass
201910 citationsauthor #2
On the construction of symmetric second order methods for ODEs
20194 citationsauthor #1
Splitting and composition methods with embedded error estimators
20197 citationsauthor #1
Computing the Matrix Exponential with an Optimized Taylor Polynomial Approximation
201955 citationsauthor #2
Symplectic propagators for the Kepler problem with time-dependent mass
20193 citationsauthor #2
Efficient time integration methods for Gross-Pitaevskii equations with rotation term
20197 citationsauthor #2
Symplectic propagators for the Kepler problem with time-dependent mass
20190 citationsauthor #2
Time-Average on the Numerical Integration of Nonautonomous Differential Equations
20185 citationsauthor #1
Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear evolution equations of parabolic type
201813 citationsauthor #1
Exponential propagators for the Schrödinger equation with a time-dependent potential.
201812 citationsauthor #2
Symplectic integrators for second-order linear non-autonomous equations
20179 citationsauthor #2
High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations
201749 citationsauthor #1
Symplectic integrators for the matrix Hill equation
20176 citationsauthor #2
An improved algorithm to compute the exponential of a matrix
20177 citationsauthor #2
Symplectic time-average propagators for the Schrödinger equation with a time-dependent Hamiltonian.
201715 citationsauthor #1
Symplectic time-average propagators for the Schödinger equation Symplectic time-average propagators for the Schödinger equation with a time-dependent Hamiltonian
20170 citationsauthor #1
High-order commutator-free Magnus integrators and related methods for non-autonomous linear evolution equations
20160 citationsauthor #1
Efficient numerical integration of Nth-order non-autonomous linear differential equations
20165 citationsauthor #2
Long-time behavior of geometric integrators
20160 citationsauthor #1
Splitting and composition methods
20161 citationsauthor #1
Some additional mathematical results
20160 citationsauthor #1
What is geometric numerical integration
20160 citationsauthor #1
A Concise Introduction to Geometric Numerical Integration
2016214 citationsauthor #1
Other types of geometric numerical integrators
20160 citationsauthor #1
Classical integrators and preservation of properties
20160 citationsauthor #1
Time-splitting methods for PDEs of evolution
20160 citationsauthor #1
An efficient algorithm based on splitting for the time integration of the Schrödinger equation
201519 citationsauthor #1
Explicit symplectic RKN methods for perturbed non-autonomous oscillators: Splitting, extended and exponentially fitting methods
201514 citationsauthor #1
Symplectic integrators for the matrix Hill's equation and its applications to engineering models
20152 citationsauthor #2
Exponential integrators for coupled self-adjoint non-autonomous partial differential systems
20140 citationsauthor #2
High order structure preserving explicit methods for solving linear-quadratic optimal control problems
20140 citationsauthor #1
Whole mathematics competences assessment at aerospace engineering sophomore
20142 citationsauthor #1
The Scaling, Splitting, and Squaring Method for the Exponential of Perturbed Matrices
201410 citationsauthor #2
Solving the Pertubed Quantum Harmonic Oscillator in Imaginary Time Using Splitting Methods with Complex Coefficients
20141 citationsauthor #2
Beating the Verlet Integrator in Monte Carlo Simulations
20130 citationsauthor #1
High order structure preserving explicit methods for solving linear-quadratic optimal control problems
20139 citationsauthor #1
High precision symplectic integrators for the Solar System
20130 citationsauthor #3
High-order splitting methods for separable non-autonomous parabolic equations
201324 citationsauthor #2
Solving the Schrödinger eigenvalue problem by the imaginary time propagation technique using splitting methods with complex coefficients.
201369 citationsauthor #2
Explicit adaptive symplectic integrators for solving Hamiltonian systems
20124 citationsauthor #1
New families of symplectic splitting methods for numerical integration in dynamical astronomy
201291 citationsauthor #1
Splitting methods in the numerical integration of non-autonomous dynamical systems
201215 citationsauthor #1
High precision symplectic integrators for the Solar System
201270 citationsauthor #3
Explicit adaptive symplectic integrators for solving Hamiltonian systems
201227 citationsauthor #1
Structure preserving integrators for solving (non-)linear quadratic optimal control problems with applications to describe the flight of a quadrotor
201222 citationsauthor #2
Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs
201220 citationsauthor #1
Magnus integrators for solving linear-quadratic differential games
20126 citationsauthor #1
Splitting methods with complex coefficients for some classes of evolution equations
20112 citationsauthor #1
Optimized high-order splitting methods for some classes of parabolic equations
201175 citationsauthor #1
New efficient numerical methods to describe the heat transfer in a solid medium
20117 citationsauthor #2
Splitting methods in the numerical integration of non-autonomous dynamical systems
20112 citationsauthor #1
A pedagogical approach to the Magnus expansion
201083 citationsauthor #1
On the numerical integration of the Gross-Pitaevskii equation using Hermite-Fourier methods
20100 citationsauthor #2
Fourier methods for the perturbed harmonic oscillator in linear and nonlinear Schrödinger equations.
201019 citationsauthor #2
Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation
20109 citationsauthor #1
Splitting methods with complex coefficients
201022 citationsauthor #1
Splitting and composition methods for explicit time dependence in separable dynamical systems
201041 citationsauthor #1
The Magnus expansion and some of its applications
20081,211 citationsauthor #1
On the Linear Stability of Splitting Methods
200832 citationsauthor #1
Splitting and composition methods in the numerical integration of differential equations
2008120 citationsauthor #1
Author ' s personal copy
20070 citationsauthor #2
Splitting methods for non-autonomous linear systems
200714 citationsauthor #1
Comment on "Structure of positive decompositions of exponential operators".
20060 citationsauthor #1
Splitting methods for non-autonomous separable dynamical systems
200628 citationsauthor #1
Fourth-and sixth-order commutator-free Magnus integrators for linear and non-linear dynamical systems
200693 citationsauthor #1
Symplectic splitting operator methods for the time-dependent Schrodinger equation.
200653 citationsauthor #1
Splitting methods for linear oscillators
20060 citationsauthor #2
On the necessity of negative coefficients for operator splitting schemes of order higher than two
2005104 citationsauthor #1
Composition Methods for Differential Equations with Processing
200523 citationsauthor #1
Composition Magnus Integrators
20050 citationsauthor #1
Raising the order of geometric numerical integrators by composition and extrapolation
200510 citationsauthor #1
Adaptive Geometric Integrators for Hamiltonian Problems with Approximate Scale Invariance
200527 citationsauthor #1
On the convergence and optimization of the Baker–Campbell–Hausdorff formula
200459 citationsauthor #1
On the Numerical Integration of Ordinary Differential Equations by Processed Methods
200422 citationsauthor #1
Explicit Adaptive Symplectic (Easy) Integrators: A Scaling Invariant Generalisation of the Levi-Civitaand KS Regularisations
200423 citationsauthor #1
Optimization of Lie group methods for differential equations
20037 citationsauthor #1

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