Results 81 to 90 of about 4,104,623 (169)

The Diffusion Equation Involving the Dunkl–Laplacian Operator in a Punctured Domain

Fractal and Fractional
The purpose of this paper is to establish solvability results for both direct and inverse problems associated with the diffusion equation involving the Dunkl–Laplacian operator in a punctured domain.
Bayan Bekbolat, Gulzat Nalzhupbayeva, Niyaz Tokmagambetov   +2 more
doaj   +1 more source

Stability and Convergence Analysis of a Class of Continuous Piecewise Polynomial Approximations for Time-Fractional Differential Equations [PDF]

, 2018
We propose and study a class of numerical schemes to approximate time-fractional differential equations. The methods are based on the approximations of the Caputo fractional derivative of order α∈ (0 , 1) by using continuous piecewise polynomials, which ...
Zhou, Han, Paul Andries Zegeling, Mathematical Modeling, Zegeling, Paul Andries, Sub Mathematical Modeling, Han Zhou   +5 more
core   +1 more source

Homogenization of layered materials with rigid components in single-slip finite crystal plasticity [PDF]

, 2017
We determine the effective behavior of a class of composites in finite-strain crystal plasticity, based on a variational model for materials made of fine parallel layers of two types.
Mathematical Modeling, Fabian Christowiak, Kreisbeck, Carolin, Christowiak, Fabian, Kreisbeck, C.C., Sub Mathematical Modeling, Carolin Kreisbeck   +6 more
core   +2 more sources

Characterizations of symmetric polyconvexity [PDF]

, 2019
Symmetric quasiconvexity plays a key role for energy minimization in geometrically linear elasticity theory. Due to the complexity of this notion, a common approach is to retreat to necessary and sufficient conditions that are easier to handle.
Kreisbeck, Carolin, Mathematical Modeling, Schlömerkemper, Anja, Boussaid, Omar, Sub Mathematical Modeling   +4 more
core   +2 more sources

Observation-based correction of dynamical models using thermostats [PDF]

, 2017
Models used in simulation may give accurate short-term trajectories but distort long-term (statistical) properties. In this work, we augment a given approximate model with a control law (a ‘thermostat’) that gently perturbs the dynamical system to target
Leimkuhler, Benedict, Mathematical Modeling, Frank, Jason, Myerscough, Keith, Sub Mathematical Modeling, Myerscough, Keith W., Leimkuhler, Ben   +6 more
core   +2 more sources

A network property necessary for concentration robustness

Nature Communications, 2016
Absolute concentration robustness (ACR), independence of the steady-state concentration of a molecule from the environment, is difficult to predict.
Jeanne M. O. Eloundou-Mbebi, Anika Küken, Nooshin Omranian, Sabrina Kleessen, Jost Neigenfind, Georg Basler, Zoran Nikoloski   +6 more
doaj   +1 more source

The expected number of critical percolation clusters intersecting a line segment [PDF]

, 2015
We study critical percolation on a regular planar lattice. Let EG(n) be the expected number of open clusters intersecting or hitting the line segment [0; n].
van den Berg, Jacob, Mathematical Modeling, Conijn, R.P., Sub Mathematical Modeling, Berg, J. (Rob) van den, van den Berg, J, Conijn, R.P. (Rene)   +6 more
core   +2 more sources

Mathematical modeling and analysis of thermal dynamics in an electrical contact bridge with nonlinear Stefan problem including thermoelectric effect and internal heat source

Results in Applied Mathematics
This paper presents a mathematical model and analytical study of the thermal dynamics in an electrical contact bridge under the influence of the Thomson effect and Joule heat generation. The model considers a bridge structure adjacent to a vapor zone, in
Targyn A. Nauryz, Stanislav N. Kharin
doaj   +1 more source

The Role of a Two-Phase Region in Directional Crystallization of Binary Liquids

Mathematics
Motivated by the widespread occurrence of directional crystallization in nature, laboratory experiments and industrial facilities, we consider how a two-phase (mushy) region filled simultaneously with liquid and solid material influences the process and ...
Dmitri V. Alexandrov, Irina V. Alexandrova, Alexander A. Ivanov, Liubov V. Toropova   +3 more
doaj   +1 more source

All for One or One for All? A Comparative Study of Grouped Data in Mixed-Effects Additive Bayesian Networks

Mathematics
Additive Bayesian networks (ABNs) provide a flexible framework for modeling complex multivariate dependencies among variables of different distributions, including Gaussian, Poisson, binomial, and multinomial.
Magali Champion, Matteo Delucchi, Reinhard Furrer   +2 more
doaj   +1 more source