English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We propose a symplectic multiscale integrator for (possibly high-dimensional) Hamiltonian systems with slowly varying quadratic stiff potentials. This integrator is based on a generalization of the impulse method via a specific splitting of the vector field that guarantees uniform convergence. The proposed method does not require the exponentiation or diagonalization of the (possibly high-dimensional) stiffness matrix, but only needs $n+1$ matrix multiplication operations at each coarse time step for a preset fixed small number $n$.

applied mathematics research express

From Efficient Symplectic Exponentiation of Matrices to Symplectic Integration of High-dimensional Hamiltonian Systems with Slowly Varying Quadratic Stiff Potentials