Recent Trends in Numerical Methods for Nonlinear PDEs
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Organizer(s): |
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Affiliation:
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Country:
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Jia Zhao
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University of Alabama
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USA
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Maosheng Jiang
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Qingdao University
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Peoples Rep of China
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Introduction:
| | Nonlinear partial differential equations (PDEs) are fundamental to modeling complex systems in physics, biology, engineering, and finance. While substantial progress has been made, developing numerical methods that are accurate, stable, and efficient for nonlinear PDEs remains a dynamic and challenging area of research. This mini-symposium will highlight recent advances in numerical techniques designed to address challenges related to nonlinearity, including stability, convergence, and multiscale phenomena. Topics will include, but not be limited to, structure-preserving discretizations, adaptive and multilevel methods, high-order schemes, and machine learning-enhanced solvers.
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