Results 11 to 20 of about 24,433 (239)
Information-Geometric Markov Chain Monte Carlo Methods Using Diffusions [PDF]
, 2014 Recent work incorporating geometric ideas in Markov chain Monte Carlo is reviewed in order to highlight these advances and their possible application in a range of domains beyond statistics. A full exposition of Markov chains and their use in Monte Carlo
Livingstone, Samuel +5 more
core +1 more source
Geometric Discretization of Lagrangian Mechanics and Field Theories [PDF]
, 2009 This thesis presents a unified framework for geometric discretization of highly oscillatory mechanics and classical field theories, based on Lagrangian variational principles and discrete differential forms. For highly oscillatory problems in mechanics,
Stern, Ari Joshua
core +1 more source
Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems [PDF]
, 2011 This paper addresses the issue of structure-preserving discretization of open distributed-parameter systems with Hamiltonian dynamics. Employing the formalism of discrete exterior calculus, we introduce a simplicial Dirac structure as a discrete analogue
Seslija, Marko, +11 more
core +1 more source
On systems of differential equations with extrinsic oscillation [PDF]
, 2010 We present a numerical scheme for an efficient discretization of nonlinear systems of differential equations subjected to highly oscillatory perturbations.
null null +6 more
core +1 more source
Geometric Quantization and Foliation Reduction [PDF]
, 2013 A standard question in the study of geometric quantization is whether symplectic reduction interacts nicely with the quantized theory, and in particular whether “quantization commutes with reduction.” Guillemin and Sternberg first proposed ...
Skerritt, Paul Michael
core +1 more source
A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]
, 2009 Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga +14 more
core +1 more source
Non-equivalence between the Melnikov and the averaging methods for nonsmooth differential systems [PDF]
, 2022 It is known that for smooth differential systems in the plane R2 the Melnikov and the averaging methods for studying the limit cycles produce the same results. Here we prove that this is not the case for nonsmooth differential systems in the plane.
Guo, Zhifei, Llibre, Jaume
core +1 more source
Аграрная наука Евро-Северо-Востока, 2018 Surface treatment with soil compaction is the most important technological operation that has a direct impact on the conditions of growth and development of the root system of plants, and, as a result, on the yield of cultivated field crops.
L. F. Babitsky +3 more
doaj +1 more source
Optimal path planning for nonholonomic robotics systems via parametric optimisation [PDF]
, 2011 . Motivated by the path planning problem for robotic systems this paper considers nonholonomic path planning on the Euclidean group of motions SE(n) which describes a rigid bodies path in n-dimensional Euclidean space.
Biggs, James +2 more
core +1 more source
Discrete Exterior Calculus [PDF]
, 2003 This thesis presents the beginnings of a theory of discrete exterior calculus (DEC). Our approach is to develop DEC using only discrete combinatorial and geometric operations on a simplicial complex and its geometric dual.
Hirani, Anil Nirmal
core +1 more source