Results 41 to 50 of about 362 (139)
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
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Elliptic solutions of isentropic ideal compressible fluid flow in (3 + 1) dimensions
, 2009 A modified version of the conditional symmetry method, together with the classical method, is used to obtain new classes of elliptic solutions of the isentropic ideal compressible fluid flow in (3+1) dimensions. We focus on those types of solutions which
Huard, Benoit +2 more
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Advanced Science, Volume 13, Issue 33, 15 June 2026.We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich +2 more
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AIChE Journal, Volume 72, Issue 6, June 2026.Abstract This article demonstrates the integration of in‐line mass spectrometry as a process analytical technology (PAT) tool with model‐based soft sensors in a continuous filtration‐drying carousel system for solid–liquid separation (SLS) of crystal slurries.
Inyoung Hur +3 more
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The RP(^2) sigma and easy plane baby skyrme models [PDF]
, 2000 This thesis examines the behaviour of two new models exhibiting topological solitons. This analysis is predominantly numerical, but a limited collective coordinate approach is attempted where appropriate. In chapter 1 we review the field of solitons.
Szyndel, Matthew Dennis Edward
core
Stable factorization of the Calderón problem via the Born approximation
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé +3 more
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Efficient Deconvolution in Populational Inverse Problems
International Journal for Numerical Methods in Engineering, Volume 127, Issue 9, 15 May 2026.ABSTRACT This work is focused on the inversion task of inferring the distribution over parameters of interest, leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by the increasing availability of data, but a major roadblock is blind deconvolution, arising when the observational noise ...
Arnaud Vadeboncoeur +2 more
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Scattering and blow up for the two dimensional focusing quintic nonlinear Schrödinger equation
, 2012 Book Summary: This volume is based on the AMS Special Session on Harmonic Analysis and Partial Differential Equations and the AMS Special Session on Nonlinear Analysis of Partial Differential Equations, both held March 12-13, 2011, at Georgia Southern ...
Fernando Carreon +5 more
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Strings, two-dimensional gravity, and matrix models [PDF]
, 1991 Two-dimensional models of quantum gravity have been solved using matrix model techniques. Furthermore, these solutions have turned out to be encoded in integrable nonlinear PDEs belonging to the KdV hierarchy.
Yen, Tinju Tim
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When Carcinoma Meets Sarcoma: A Rare Case of Pancreatic Carcinosarcoma and Review of Literature
Clinical Case Reports, Volume 14, Issue 5, May 2026.ABSTRACT Pancreatic carcinosarcoma is an extremely rare and aggressive malignancy with both epithelial and mesenchymal components. This case contributes to the limited global literature, emphasizing the importance of awareness, accurate diagnosis, and further research to improve understanding and management of this lethal tumor.
Pouria Abedini +4 more
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