Results 31 to 40 of about 2,844 (99)

Polyfolds: A First and Second Look

, 2016
Polyfold theory was developed by Hofer-Wysocki-Zehnder by finding commonalities in the analytic framework for a variety of geometric elliptic PDEs, in particular moduli spaces of pseudoholomorphic curves.
Fabert, Oliver, Fish, Joel W., Golovko, Roman, Wehrheim, Katrin   +3 more
core   +2 more sources

Gradient Crystal Plasticity Modeling of Laminate Microstructures

GAMM-Mitteilungen, Volume 48, Issue 4, November 2025.
Abstract Metallic materials may show an ultra‐fine lamellar morphology leading to desirable macroscopic mechanical properties. In this paper, an analytical method for modeling the size‐dependent mechanical behavior of material systems with lamellar microstructure is proposed.
Claudius Klein, Thomas Böhlke
wiley   +1 more source

A Flexible Derivation Approach for the Numerical Solution of Partial Differential Equations

Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT We propose a new method for the numerical solution of boundary value problems associated to partial differential equations. This method is based on standard approximation techniques, like numerical differentiation of univariate functions and curve interpolation, so it can be easily generalized to high‐dimensional problems.
Nadaniela Egidi, Josephin Giacomini, Pierluigi Maponi   +2 more
wiley   +1 more source

Stability of the index of a semi-Fredholm complex of Banach spaces

, 1986
We prove the stability of the index and the semicontinuity of the dimensions of the cohomology groups of semi-Fredholm complexes of Banach spaces and closed linear operators with respect to perturbations of the operators and of the underlying spaces ...
E. Albrecht, F. Vasilescu
semanticscholar   +1 more source

Physically Based Feature Augmentation to Improve Classification Algorithm Performance

Engineering Reports, Volume 7, Issue 10, October 2025.
Physical transformations of infrared remote sensing measurements are shown to improve classification performance. Physical transformations are more effective than those that are simply mathematical. Leveraging physical insight is broadly applicable to many types of problems and can lead to fewer measurements/simpler models for desired performance ...
Charles E. Davidson, Avishai Ben‐David, Alan C. Samuels   +2 more
wiley   +1 more source

A Short Survey of Noncommutative Geometry

, 2000
We give a survey of selected topics in noncommutative geometry, with some emphasis on those directly related to physics, including our recent work with Dirk Kreimer on renormalization and the Riemann-Hilbert problem. We discuss at length two issues.
Alain Connes, Atiyah M. F., Atiyah M. F., Baum P., Broadhurst D. J., Brown L. G., Burghelea D., Chamseddine A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Connes A., Cuntz J., Cuntz J., Cuntz J., Haagerup U., Hilsum M., Jaffe A., Julg P., Kalau W., Kasparov G. G., Kasparov G. G., Kontsevich M., Kreimer D., Kreimer D., Kreimer D., Kreimer D., Krieger W., Pimsner M., Rieffel M. A., Rieffel M. A., Singer I. M., Skandalis G., Takesaki M., Tsygan B. L., van Ritbergen T., Varilly J. C.   +46 more
core   +2 more sources

The KO-valued spectral flow for skew-adjoint Fredholm operators

Journal of Topology and Analysis (JTA), 2019
In this paper, we give a comprehensive treatment of a “Clifford module flow” along paths in the skew-adjoint Fredholm operators on a real Hilbert space that takes values in [Formula: see text] via the Clifford index of Atiyah–Bott–Shapiro. We develop its
C. Bourne, A. Carey, M. Lesch, A. Rennie
semanticscholar   +1 more source

On the Choice of Basis Functions for Modeling Earth's Elastic Deformation Due To Surface Loading

Journal of Geophysical Research: Solid Earth, Volume 130, Issue 10, October 2025.
Abstract Accurately modeling Earth's elastic deformation due to surface loads is essential for geodetic and geophysical studies, including investigations of climate change, hydrology, and tectonics. Various basis functions, such as spherical harmonics, Green's functions, disk functions, and Slepian functions, are commonly used to describe the ...
Fan Yang, Yingchun Shen, Weihang Zhang, Ehsan Forootan   +3 more
wiley   +1 more source

A Deformation Theory of Self-Dual Einstein Spaces [PDF]

, 1991
The self-dual Einstein equations on a compact Riemannian 4-manifold can be expressed as a quadratic condition on the curvature of an $SU(2)$ (spin) connection which is a covariant generalization of the self-dual Yang-Mills equations.
Torre, C. G.
core   +3 more sources

Stability Analysis of Slope Subjected to Seepage Forces Considering Spatial Variability of Soil Properties

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 49, Issue 11, Page 2459-2491, 10 August 2025.
ABSTRACT The stability analysis of a saturated soil slope subjected to seepage flow generated by rapid water level drawdown is investigated in this paper by means of the limit analysis kinematic approach. The analysis takes into account the inherent spatial variability of soil strength and permeability properties.
Mário Vargas Ceron, Diogo Lira Cecílio, Renato Vaz Linn, Samir Maghous   +3 more
wiley   +1 more source