Results 71 to 80 of about 217,226 (371)

Performance of GRKM-method for solving classes of ordinary and partial differential equations of sixth-orders

Open Engineering
A general quasilinear sixth-order ordinary differential equation (ODE) is an important class of ODEs. The primary objective of this study is to establish a numerical method for solving a general class of quasilinear sixth-order partial differential ...
Mechee Mohammed S., Kadhim Murtadha A., Yazdani Cherati AllahBakhsh   +2 more
doaj   +1 more source

Solvable vector nonlinear Riemann problems, exact implicit solutions of dispersionless PDEs and wave breaking

, 2010
We have recently solved the inverse spectral problem for integrable PDEs in arbitrary dimensions arising as commutation of multidimensional vector fields depending on a spectral parameter $\lambda$.
Bogdanov L, Bogdanov L, Dunajski M, Dunajski M Tod K P, Guil F, Kadomtsev B B, Kodama Y, Konopelchenko B, Manakov S V, Manakov S V, Manakov S V, Manakov S V Santini P M, Neyzi F, P M Santini, S V Manakov, Takasaki K Takebe T, Takasaki K Takebe T, Timman R Oswatitsch K, Zakharov V E, Zakharov V E, Zakharov V E, Zobolotskaya E A   +21 more
core   +1 more source

Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach [PDF]

American Control Conference, 2019
This paper deals with an event-triggered boundary control of constant-parameters reaction-diffusion PDE systems. The approach relies on the emulation of backstepping control along with a suitable triggering condition which establishes the time instants ...
Nicolás Espitia, I. Karafyllis, M. Krstić   +2 more
semanticscholar   +1 more source

Self‐Assisted Charge Storage‐Release Mechanism Enabling Flexible Design of Biomimetic Triboelectric Nanogenerators

Advanced Science, EarlyView.
Inspired by the mimosa, this study develops a flexible triboelectric nanogenerator with a novel microneedle array and battery‐mimetic architecture. The device introduces a spontaneous charge self‐regulation mechanism that confines the electric field below the air breakdown threshold, and achieves an outstanding charge density of 396.50 µC m−2 ...
Hanpeng Gao, Yamin Hu, Li Li, Ana Sofia Oliveira Henriques Moita, Xi Wang, Zong Meng, Zhiwu Han, Yan Liu   +7 more
wiley   +1 more source

Theoretical and numerical studies of the blow-up of a degenerate nonlinear reaction–diffusion problem with source terms

Applied Mathematics in Science and Engineering
In this paper, we focus on the phenomenon of blow-up of solutions for semilinear and degenerate (time-derivative) parabolic equation systems with additional source terms.
Bariza Sidhoum, Nadjat Doudi, Lamine Nisse, Asma Alharbi, Salah Boulaaras   +4 more
doaj   +1 more source

Efficient Gluing of Numerical Continuation and a Multiple Solution Method for Elliptic PDEs

, 2014
Numerical continuation calculations for ordinary differential equations (ODEs) are, by now, an established tool for bifurcation analysis in dynamical systems theory as well as across almost all natural and engineering sciences. Although several excellent
Kuehn, Christian
core   +1 more source

Deep backward schemes for high-dimensional nonlinear PDEs

Mathematics of Computation, 2019
We propose new machine learning schemes for solving high dimensional nonlinear partial differential equations (PDEs). Relying on the classical backward stochastic differential equation (BSDE) representation of PDEs, our algorithms estimate simultaneously
Côme Huré, H. Pham, X. Warin
semanticscholar   +1 more source

Coarse-scale PDEs from fine-scale observations via machine learning [PDF]

Chaos, 2019
Complex spatiotemporal dynamics of physicochemical processes are often modeled at a microscopic level (through, e.g., atomistic, agent-based, or lattice models) based on first principles.
Seungjoon Lee, M. Kooshkbaghi, K. Spiliotis, C. Siettos, I. Kevrekidis   +4 more
semanticscholar   +1 more source

Physical Implementation of Optical Material‐Based Neural Networks Processing Enabled by Long‐Persistent Luminescence

Advanced Science, EarlyView.
This study reports on the physical implementation of optical material‐based neural processing using long‐persistent luminescence as memory‐retention and nonlinear optical material. The system performs optical‐domain preprocessing with opto‐electronic interfaces for stimulus delivery and readout, enabling real‐time demonstrations including Pong gameplay
Sangwon Wi, Yunsang Lee
wiley   +1 more source

Non-equispaced Fourier Neural Solvers for PDEs [PDF]

, 2022
Haitao Lin, Lirong Wu, Yongjie Xu, Yufei Huang, Siyuan Li, Guojiang Zhao, Z Stan   +6 more
openalex   +1 more source