Results 121 to 130 of about 1,122,320 (225)

A Detailed and Comprehensive Account of Fractional Physics‐Informed Neural Networks: From Implementation to Efficiency

Artificial Intelligence for Engineering, Volume 2, Issue 3, Page 251-264, September 2026.
Caputo‐based fPINNs accurately solve fractional ODEs and PDEs while exposing an accuracy–cost trade‐off driven by the history‐dependent fractional derivative. Temporal collocation and shorter time windows are the most effective strategies for improving early‐time accuracy without unnecessary spatial refinement.
Donya Dabiri, Joshua DaRosa, Milad Saadat, Deepak Mangal, Safa Jamali   +4 more
wiley   +1 more source

An Interesting Difference between Fourier Transform & Laplace Transform

, 2011
Many authors have been found the difference between Fourier Transform & Laplace Transform. In this paper we are highlighting the major or you can say interesting difference between Fourier Transform & Laplace Transform .
Gavendra Singh, Shobhit Sharma, Varun Gupta, Shekhar Pundir   +3 more
core   +1 more source

Surface‐driven size scaling of the lattice parameter, Debye–Waller coefficient and microstrain in nanocrystals

Acta Crystallographica Section A, Volume 82, Issue 5, Page 366-376, September 2026.
This work develops three surface‐driven nanoscale models for the diffraction‐derived lattice parameter, Debye–Waller coefficient and microstrain, clarifying why their size dependences are not equally universal. Atomistic simulations and literature data show that lattice parameter trends depend strongly on capillarity, chemistry and defects, whereas the
Sirisha Subbareddy, Erick Agnolin, Marcelo Augusto Malagutti, Narges Ataollahi, Robert Dinnebier, Paolo Scardi   +5 more
wiley   +1 more source

Large Language Models in Electrical and Computer Engineering Education: Opportunities, Challenges and the Road Ahead

European Journal of Education, Volume 61, Issue 3, September 2026.
ABSTRACT Electrical and Computer Engineering (EE/CE) education encompasses the rigorous study of electronic systems, computing architectures, embedded platforms, signal processing and hardware–software integration. Its inherently multidisciplinary nature demands mastery of mathematical modelling and experimental validation skills that pose substantial ...
Abdulmalik Alwarafy
wiley   +1 more source

Near-infrared Fourier transform cavity-enhanced optical frequency comb spectroscopy

, 2014
Using Fourier transform-based cavity-enhanced optical frequency comb spectroscopy around 1.57 μm we measure high precision low pressure spectra of the 3v1+ v3 band of CO2 and high temperature H2O and OH spectra in a premixed methane/air flat flame.
Schmidt, Florian,, Maslowski, Piotr,, Foltynowicz, Aleksandra,, Khodabakhsh, Amir,, Rutkowski, Lucile,, Johansson, Alexandra C.,   +5 more
core   +1 more source

Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester, Anas A. Rahman, Bo‐Jian Shen   +2 more
wiley   +1 more source

A non-trivial special case of the biconfluent Heun equation [0,1,1_3]: orthogonality of its solutions

Le Matematiche, 1996
A special case of the biconfluent Heun equation which is not reducible to a form of a hypergeometric equation is solved by means of a Laplace transform. The solutions are double series which exhibit a type of orthogonality comparable in some respects to ...
Harold Exton
doaj  

Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi, Sergey Shadrin, Ishan Jaztar Singh   +2 more
wiley   +1 more source

Analytical Solutions of Systems of Linear Delay Differential Equations by the Laplace Transform: Featuring Limit Cycles

Mathematical and Computational Applications
In this paper we develop an approach for obtaining the solutions to systems of linear retarded and neutral delay differential equations. Our analytical approach is based on the Laplace transform, inverse Laplace transform and the Cauchy residue theorem ...
Gilbert Kerr, Nehemiah Lopez, Gilberto González-Parra   +2 more
doaj   +1 more source

A new approach for the analysis of evolution partial differential equations on a finite interval

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We show that, for certain evolution partial differential equations, the solution on a finite interval (0,ℓ)$(0,\ell)$ can be reconstructed as a superposition of restrictions to (0,ℓ)$(0,\ell)$ of solutions to two associated partial differential equations posed on the half‐lines (0,∞)$(0,\infty)$ and (−∞,ℓ)$(-\infty,\ell)$.
Türker Özsarı, Dionyssios Mantzavinos, Konstantinos Kalimeris   +2 more
wiley   +1 more source