Computational study of thin films made from the ferroelectric materials with Paul Painlevé approach and expansion and variational methods. [PDF]
Shao R+5 more
europepmc +1 more source
This contribution aims at studying a general class of random differential equations with Dirac‐delta impulse terms at a finite number of time instants. Our approach directly addresses calculating the so‐called first probability density function, from which all the relevant statistical information about the solution, a stochastic process, can be ...
Vicente J. Bevia+2 more
wiley +1 more source
Well-posedness of Keller-Segel systems on compact metric graphs. [PDF]
Shemtaga H, Shen W, Sukhtaiev S.
europepmc +1 more source
Using decomposition of the nonlinear operator for solving non‐differentiable problems
Starting from the decomposition method for operators, we consider Newton‐like iterative processes for approximating solutions of nonlinear operators in Banach spaces. These iterative processes maintain the quadratic convergence of Newton's method.
Eva G. Villalba+3 more
wiley +1 more source
Stability, bifurcation, and large-amplitude vibration analysis of a symmetric magnetic spherical pendulum. [PDF]
Big-Alabo A, Chuku MT.
europepmc +1 more source
Scalable tube model predictive control of uncertain linear systems using ellipsoidal sets
Abstract This work proposes a novel robust model predictive control (MPC) algorithm for linear systems affected by dynamic model uncertainty and exogenous disturbances. The uncertainty is modeled using a linear fractional perturbation structure with a time‐varying perturbation matrix, enabling the algorithm to be applied to a large model class. The MPC
Anilkumar Parsi+2 more
wiley +1 more source
Gauss Newton Method for Solving Variational Problems of PDEs with Neural Network Discretizaitons. [PDF]
Hao W, Hong Q, Jin X.
europepmc +1 more source
On the isoperimetric Riemannian Penrose inequality
Abstract We prove that the Riemannian Penrose inequality holds for asymptotically flat 3‐manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the ADM$\operatorname{ADM}$ mass being a well‐defined geometric invariant.
Luca Benatti+2 more
wiley +1 more source
Propagation of wave insights to the Chiral Schrödinger equation along with bifurcation analysis and diverse optical soliton solutions. [PDF]
Alkahtani BST.
europepmc +1 more source
ABSTRACT We present a model reduction approach for the real‐time solution of time‐dependent nonlinear partial differential equations (PDEs) with parametric dependencies. A major challenge in constructing efficient and accurate reduced‐order models for nonlinear PDEs is the efficient treatment of nonlinear terms.
Ngoc Cuong Nguyen
wiley +1 more source