This article presents a fairly up to date survey of the research literature relating to differential-
algebraic equations (DA Es) and their numerical solution In contrast to ordinary differential …

Differential-algebraic equations (DAEs) provide an essential tool for system modeling and
analysis within different fields of applied sciences and engineering. This book addresses …

In this review the foundations of Geometric Quantization are explained and discussed. In
particular, we want to clarify the mathematical aspects related to the geometrical structures …

The Hamilton–Jacobi problem is revisited bearing in mind the consequences arising from a
possible bi-Hamiltonian structure. The problem is formulated on the tangent bundle for …

Descriptor linear systems theory is an important part of control systems theory and has
attracted much attention in the last decades. Many researchers pay a great attention to …

In order to study the connections between Lagrangian and Hamiltonian formalisms
constructed from a—perhaps singular—higher‐order Lagrangian, some geometric …

We present a Lagrangian approach to counting degrees of freedom in first-order field
theories. The emphasis is on the systematic attainment of a complete set of constraints. In …

The jet bundle description of time‐dependent mechanics is revisited. The constraint
algorithm for singular Lagrangians is discussed and an exhaustive description of the …

Lagrangian theory for presymplectic systems Page 1 ANNALES DE L’IHP, SECTION A MC
MUÑOZ LECANDA N. ROMAN ROY Lagrangian theory for presymplectic systems Annales …

We present a geometric algorithm for obtaining consistent solutions to systems of partial
differential equations, mainly arising from singular covariant first-order classical field …