Results 111 to 120 of about 16,705 (192)

An elegant model of the geodesic flow on the modular surface

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
wiley   +1 more source

A General Method for Drawing Area-Proportional Euler Diagrams [PDF]

, 2011
Area-proportional Euler diagrams have many applications, for example they are often used for visualizing data in medical and biological domains. There have been a number of recent research efforts to automatically draw Euler diagrams when the areas of ...
Howse, John, Rodgers, Peter, Gem Stapleton, John Howse, Stapleton, Gem, Peter Rodgers   +5 more
core   +1 more source

A Data‐Driven Multiscale Scheme for Anisotropic Finite Strain Magneto‐Elasticity

International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.
ABSTRACT In this work, we develop a neural network‐based, data‐driven, decoupled multiscale scheme for the modeling of structured magnetically soft magnetorheological elastomers (MREs). On the microscale, sampled magneto‐mechanical loading paths are imposed on a representative volume element containing spherical particles and an elastomer matrix, and ...
Heinrich T. Roth, Philipp Gebhart, Karl A. Kalina, Thomas Wallmersperger, Markus Kästner   +4 more
wiley   +1 more source

Dynamic Euler Diagram Drawing [PDF]

, 2004
In this paper we describe a method to lay out a graph enhanced Euler diagram so that it looks similar to a previously drawn graph enhanced Euler diagram. This task is non-trivial when the underlying structures of the diagrams differ.
Rodgers, Peter, Mutton, Paul, Flower, Jean   +2 more
core   +1 more source

Optimal control of nonsmooth system governed by quasi-linear elliptic equations

International Journal of Mathematics and Mathematical Sciences, 1997
In this paper, we discuss a class of optimal control problems of nonsmooth systems governed by quasi-linear elliptic partial differential equations, give the existence of the problem.
Gong Liutang, Fei Pusheng
doaj   +1 more source

Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov

International Journal for Numerical Methods in Engineering, Volume 127, Issue 11, 15 June 2026.
ABSTRACT The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation. Due to the inter‐coupling of the components through the source terms, it suffers from a slow convergence behavior in specific scenarios, such as geometries with significantly uneven ...
Andry Monlon, Alessandro Scolaro, Philip Cardiff, Ivor Clifford, Oskari Pakari, Mathieu Hursin   +5 more
wiley   +1 more source

SketchSet: Creating Euler diagrams using Pen or Mouse [PDF]

, 2011
Euler diagrams form the basis of various visual languages but tool support for creating them is generally limited to generic diagram editing software using mouse and keyboard interaction.
A. Delaney, Schmeider, Paul, Plimmer, Beryl, Delaney, Aidan, Wang, Mengdi, G. Stapleton, Rodgers, Peter, P. Schmieder, null Mengdi Wang, P. Rodgers, Stapleton, Gem, Schmieder, Paul, B. Plimmer   +12 more
core   +1 more source

Passivity based distributed tracking control of networked Euler-Lagrange systems [PDF]

, 2018
In this paper we present three distributed control laws for the coordination of networked Euler-Lagrange (EL) systems. We first reformulate the passivity-based control design method in Arcak (2007) by considering that each edge is associated with an ...
Jayawardhana, Bayu, van der Schaft, Abraham, Reyes Báez, Rodolfo, Camlibel, Kanat, Shim, Hyungbo   +4 more
core   +1 more source

Exterior Differential Systems and Euler-Lagrange Partial Differential Equations [PDF]

, 2016
We use methods from exterior differential systems (EDS) to develop a geometric theory of scalar, first-order Lagrangian functionals and their associated Euler-Lagrange PDEs, subject to contact transformations.
Grossman, Daniel, Griffiths, Phillip, Bryant, Robert   +2 more
core  

New Applications of a Kind of Infinitesimal-Operator Lie Algebra

Advances in Mathematical Physics, 2016
Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtain an invariant of a second-order differential equation which can be generated by a Euler-Lagrange formulism.
Honwah Tam, Yufeng Zhang, Xiangzhi Zhang
doaj   +1 more source