Results 41 to 50 of about 694 (184)

The Long Shadow of Karl Weierstraß Over the Calculus of Variations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
wiley   +1 more source

New Jacobi Elliptic Function Solutions for the Zakharov Equations [PDF]

Journal of Applied Mathematics, 2012
A generalized (G′/G)‐expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations. As a result, some new Jacobi elliptic function solutions of the Zakharov equations are obtained. This method can also be applied to other nonlinear evolution
openaire   +4 more sources

Jacobi Elliptic Function Solutions for the Conformable Resonant Nonlinear Schrödinger Equation with Parabolic Nonlinearity

Computation
In this study, we utilize the ϕ6-model expansion method to derive a diverse set of Jacobi elliptic function solutions for the conformable resonant Nonlinear Schrödinger Equation (NLSE) with parabolic law nonlinearity.
Du’a Al-zaleq, Lewa’ Alzaleq, Suboh Alkhushayni   +2 more
doaj   +1 more source

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor, Nils Margenberg, Markus Bause   +2 more
wiley   +1 more source

New traveling wave exact solutions to the coupled Klein–Gordon system of equations

Partial Differential Equations in Applied Mathematics, 2022
A system of coupled Klein–Gordon nonlinear partial differential equations are considered in this paper and several new families of exact solutions for this system are derived.
Subin P. Joseph
doaj   +1 more source

Polynomial Extrapolation Techniques for Accelerating Picard Iterations With Multigrid Solvers for Nonlinear Problems in Isogeometric Analysis

Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.
ABSTRACT Vector extrapolation techniques can be highly effective when used to accelerate the convergence of fixed‐point iterative methods, such as the Picard method. In this study, we investigate the numerical solution of nonlinear problems. Specifically, we address the nonlinear eigenvalue Bratu problem and the Monge–Ampère equation using a multigrid ...
Abdellatif Mouhssine, Ahmed Ratnani, Hassane Sadok   +2 more
wiley   +1 more source

The Influence of Multiplicative Noise and Fractional Derivative on the Solutions of the Stochastic Fractional Hirota–Maccari System

Axioms, 2022
We address here the space-fractional stochastic Hirota–Maccari system (SFSHMs) derived by the multiplicative Brownian motion in the Stratonovich sense. To acquire innovative elliptic, trigonometric and rational stochastic fractional solutions, we employ ...
Farah M. Al-Askar, Wael W. Mohammed, Clemente Cesarano, M. El-Morshedy   +3 more
doaj   +1 more source

Random Carbon Tax Policy and Investment Into Emission Abatement Technologies

Mathematical Finance, Volume 36, Issue 4, Page 804-825, October 2026.
ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri, Rüdiger Frey, Verena Köck   +2 more
wiley   +1 more source

Machine‐Learning‐Enhanced Printed Vertical Magnetoresistive Sensors for Transparent, Flexible, Multimodal Interactive Magnetoelectronics

Advanced Science, Volume 13, Issue 50, 7 September 2026.
This study presents printed magnetoresistive sensors with a vertically aligned architecture that enables high optical transparency and mechanical flexibility. By integrating deep learning for the analysis of complex spatiotemporal signal patterns, the system further achieves intelligent multimodal interaction capabilities.
Rui Xu, Guannan Mu, Oleksandr V. Pylypovskyi, Qihao Zhang, Rico Illing, René Hübner, Ran He, Andreas Knüpfer, Sebastian Lehmann, Olha Bezsmertna, Kornelius Nielsch, Denys Makarov   +11 more
wiley   +1 more source

Key Technical Fields and Future Outlooks of Space Manipulators: A Survey

SmartBot, Volume 2, Issue 3, September 2026.
This paper systematically reviews the technological development of space manipulators, emphasizing the unique challenges posed by space environments. It examines four areas: structural design, modeling, planning, and control, while introducing typical ground test platforms.
Gang Chen, Zeyuan Huang, Ying Yan, Xiaokang An, Zhikai Zhao, Jirong Lin, Xiangrong Zhao, Xianyuan Gao, Junyi Zong, Xuewen Jia, Zhipeng Yao, Jianliang Liao, Ning Ji   +12 more
wiley   +1 more source