Results 41 to 50 of about 16,016 (265)
Applied Mathematics in Science and EngineeringIn 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 +4 more
doaj +1 more source
PDE-Controller: LLMs for Autoformalization and Reasoning of PDEs
CoRRWhile recent AI-for-math has made strides in pure mathematics, areas of applied mathematics, particularly PDEs, remain underexplored despite their significant real-world applications. We present PDE-Controller, a framework that enables large language models (LLMs) to control systems governed by partial differential equations (PDEs).
Mauricio Soroco +5 more
openaire +3 more sources
Closing the Loop: High‐Precision 3D Photofabrication in Living Tissues
Advanced Science, EarlyView.Writing 3D microstructures inside living tissue demands more than laser access; It demands information. Hierarchical sensing captures thermal and mechanical states across pulse‐train, voxel, and structure timescales, feeding a controller that steers the laser in real time.
Amirbahador Zeynali +2 more
wiley +1 more source
Advanced Science, EarlyView.Neuronal activation leads to astrocytic transient volume changes, activating transient receptor potential ankyrin 1 (TRPA1) channels, leading to Ca2+ influx. Activation of TRPA1 causes the release of D‐serine through BEST1. Finally, the augmented extracellular levels of D‐serine boost neuronal activity by binding GluN1‐containing NMDARs, leading to CBV
Kayoung Han +11 more
wiley +1 more source
Abstract and Applied Analysis, 2014 One of the most important advantages of collocation method is the possibility of dealing with nonlinear partial differential equations (PDEs) as well as PDEs with variable coefficients.
A. H. Bhrawy +2 more
doaj +1 more source
Advanced Science, EarlyView.Large language models serve as representation generators for gradient‐free scientific optimization. Two complementary approaches produce executable battery‐charging policies either directly or through LLM‐designed neural representations coupled to Bayesian optimization.
Ge Lei +3 more
wiley +1 more source
Advanced Intelligent Discovery, EarlyView.AI‐BioMech is a deep learning framework that predicts the mechanical behavior of biological cellular materials directly from 2D images. By replacing traditional finite element analysis with semantic segmentation, it identifies stress and strain distributions with 99% accuracy, offering a high‐speed, scalable alternative for analyzing complex, aperiodic
Haleema Sadia +2 more
wiley +1 more source
Multidimensional transonic shock waves and free boundary problems
Bulletin of Mathematical Sciences, 2022 We are concerned with free boundary problems arising from the analysis of multidimensional transonic shock waves for the Euler equations in compressible fluid dynamics.
Gui-Qiang G. Chen, Mikhail Feldman
doaj +1 more source
Fatigue‐Driven Adaptive Assistance for a Semi‐Active Upper‐Limb Occupational Exoskeleton
Advanced Intelligent Systems, EarlyView.Physical fatigue during a physical activity is estimated in real time to enable adaptive exoskeleton assistance. By continuously adjusting the level of support according to the user’s fatigue, this approach reduces physical demand and provides a pathway toward personalized exoskeleton assistance.
Seemab Zakir +6 more
wiley +1 more source
Pan-American Journal of MathematicsNovel methods for solving the optimal control problems of different and new types of the fractional partial differential equations (PDEs) as: nonlinear PDEs, delay PDEs, and two-dimensional PDEs, are introduced in this paper.
Iman Malmir
doaj +1 more source