Symbolic computation and algebraic computation

Results 81 to 90 of about 119 (119)

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source

Active learning strategies in business and information & communication technology engineering higher education: A scoping review

Review of Education, Volume 14, Issue 2, August 2026.
Abstract Active learning (AL) has emerged as a pedagogical response to diverse educational challenges across multiple disciplines. This scoping review maps the terrain of AL implementation patterns, examining AL practices in Business Education, Information and Communication Technology (ICT) Engineering, Mathematics, and Statistics from 2015 until the ...
Dubravka Novkovic +2 more
wiley +1 more source

Theoretical foundations, practical applications and pedagogical challenges of the mathematics teacher's specialised knowledge model: A qualitative systematic review in secondary education

Review of Education, Volume 14, Issue 2, August 2026.
Abstract This systematic review analyses 32 studies published between 2013 and 2024 on the Mathematics Teacher's Specialised Knowledge (MTSK) model, with the aim of understanding its theoretical development, practical applications and contributions to teacher education in secondary and pre‐university contexts.
Daniel Martín‐Cudero
wiley +1 more source

Safe Stabilization Using Non‐Smooth Control Lyapunov Barrier Function

International Journal of Robust and Nonlinear Control, Volume 36, Issue 11, Page 5823-5835, 25 July 2026.
ABSTRACT This paper addresses the challenge of safe stabilization, ensuring the system state reaches the origin while avoiding unsafe state regions. Existing approaches that rely on smooth Lyapunov barrier functions often fail to guarantee a feasible controller. To overcome this limitation, we introduce the non‐smooth control Lyapunov barrier function (
Jianglin Lan +3 more
wiley +1 more source

AI in chemical engineering: From promise to practice

AIChE Journal, Volume 72, Issue 7, July 2026.
Abstract Artificial intelligence (AI) in chemical engineering has moved from promise to practice: physics‐aware (gray‐box) models are gaining traction, reinforcement learning complements model predictive control (MPC), and generative AI powers documentation, digitization, and safety workflows.
Jia Wei Chew +4 more
wiley +1 more source

Optimal model‐based design of experiments for parameter precision: Supercritical extraction case

The Canadian Journal of Chemical Engineering, Volume 104, Issue 7, Page 3775-3795, July 2026.
Abstract This study investigates the process of chamomile oil extraction from flowers. A parameter‐distributed model consisting of a set of partial differential equations is used to describe the governing mass transfer phenomena in a cylindrical packed bed with solid chamomile particles under supercritical conditions using carbon dioxide as a solvent ...
Oliwer Sliczniuk, Pekka Oinas
wiley +1 more source

More Than Numbers: Unpacking the Language Demands of Secondary Mathematics Word Problems

Journal of Adolescent &Adult Literacy, Volume 70, Issue 1, July/August 2026.
ABSTRACT Solving mathematics word problems is a complex task, particularly for emergent bilingual students, who must navigate both mathematical reasoning and substantial linguistic complexity. In this study, we developed a codebook to analyze the linguistic features of 40 math word problems from a 9th‐grade Algebra textbook and identified the frequent ...
Peijuan Cao, Ling Hao
wiley +1 more source

Is It Easier to Count Communities Than Find Them?

Random Structures &Algorithms, Volume 68, Issue 4, July 2026.
ABSTRACT Random graph models with community structure have been studied extensively in the literature. For both the problems of detecting and recovering community structure, an interesting landscape of statistical and computational phase transitions has emerged. A natural unanswered question is: Might it be possible to infer properties of the community
Cynthia Rush +3 more
wiley +1 more source

Evolution and Conceptual Insights into the Geometric Phase of Light: A Comprehensive Review

Advanced Photonics Research, Volume 7, Issue 6, June 2026.
This review presents a unified account of the geometric phase of light, linking its fundamental principles to diverse manifestations in polarization, spatial, and vector modes. By connecting theoretical frameworks with key experimental realizations, it reveals a coherent physical picture that deepens understanding and stimulates new directions in ...
A. Srinivasa Rao
wiley +1 more source