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Partial differential equations

Estimating the incidence of heart failure: Insights from an illness-death model using statutory health insurance data from 70 million people in Germany

Mike Wagner, Dennis Rottländer, Sabrina Voß, Ralph Brinks

published 02 Feb 2026

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A note on a generalized double series

Robert Reynolds

published 16 Jan 2026

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Evolutions of partner-ruled surfaces with simultaneous inextensibility conditions

Kemal Eren, Soley Ersoy, Mohammad Nazrul Islam Khan

published 01 Dec 2025

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Investigating the use of physics informed neural networks for dam-break scenarios

Kinza Mumtaz, Muhammad Waasif Nadeem, Adnan Khan, Zahra Lakdawala

published 19 Sep 2025

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Active control of flexible spacecraft in orbit based on partial differential equations

Bo Zhang, Ming Wen

published 10 Sep 2025

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Besse relaxation difference scheme for a nonlinear integro-differential equation

Xinya Peng, Leiwei Li, Jia Zhang

published 29 Aug 2025

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Cavity expansion theory with state-dependent mohr-coulomb model and its application to cone penetration tests

Baojian Li, Sai Fu, Xiaoyu Feng, Jian Shen, Bing Duan, Li Pang

published 20 Aug 2025

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Physics-informed extreme learning machine (PIELM) for consolidation around an expanded cylindrical cavity

Chuan-Qin Pang, Zhu-Hao Zhang, Si-Han Chen, Hong-Ya Yue, Yu Zhang

published 14 Aug 2025

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A novel method for approximate solution of two point non local fractional order coupled boundary value problems

Lahoucine Tadoummant, Hammad Khalil, Rachid Echarggaoui, Sarah Aljohani, Nabil Mlaiki

published 02 Jul 2025

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The modeling and condition analysis of nondestructive testing based on ESPI for internal defects of materials

Wen Wang, Mingzhi Lv, Fang Zhang, Zhitao Xiao, Wenheng Li

published 01 Jul 2025

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Formulation and evaluation of ocean dynamics problems as optimization problems for quantum annealing machines

Takuro Matsuta, Ryo Furue

published 26 Jun 2025

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Towards efficient solutions: A novel approach to quadratic nonlinearity in boundary value problems

Salima Kouser, Shafiq Ur Rehman, Yasser Elmasry, Waqar Azeem Khan, Fayyaz Ahmad, Hamza Khan

published 23 May 2025

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Transfer learning of neural operators for partial differential equations based on sparse network λ-FNO

Jinghong Xu, Yuqian Zhou, Qian Liu, Kebing Li, Haolin Yang

published 22 May 2025

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