Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous
Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the …

This overview is devoted to splitting methods, a class of numerical integrators intended for
differential equations that can be subdivided into different problems easier to solve than the …

The goal of digital quantum simulation is to approximate the dynamics of a given target
Hamiltonian via a sequence of quantum gates, a procedure known as Trotterization. The …

A new recursive procedure to compute the Zassenhaus formula up to high order is
presented, providing each exponent in the factorization directly as a linear combination of …

With advances in quantum computing, new opportunities arise to tackle challenging
calculations in quantum field theory. We show that trotterized time-evolution operators can …

We provide a comprehensive survey of splitting and composition methods for the numerical
integration of ordinary differential equations (ODEs). Splitting methods constitute an …

Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many
different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs …

We present new splitting methods designed for the numerical integration of near-integrable
Hamiltonian systems, and in particular for planetary N-body problems, when one is …

The aim of this paper is to provide a comprehensive exposition of the early contributions to
the so-called Campbell, Baker, Hausdorff, Dynkin Theorem during the years 1890–1950 …

This monograph is a fundamental reference for scientists and engineers who encounter spin
processes in their work. The author, Ilya Kuprov, derives the concept of spin from basic …