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个人简介
Research Field:
Numerical Analysis, Partial Differential Equations, and Applied Mathematics
Research Description:
Higdon has worked on open boundary conditions for wave propagation problems and on issues related to the well-posedness of hyperbolic initial-boundary value problems and the stability of their numerical approximations. He is presently working on some mathematical and computational problems related to the numerical modeling of ocean circulation. This modeling involves the solution of a system of partial differential equations that describes fluid flow, as adapted to that case. In this area, Higdon first worked on some problems with stability and efficiency that can arise from the multiple time scales that are contained in the system. He is presently working on a project to develop, analyze, and test some procedures for using discontinuous Galerkin numerical methods in multi-layer models of ocean circulation.
Numerical Analysis, Partial Differential Equations, and Applied Mathematics
Research Description:
Higdon has worked on open boundary conditions for wave propagation problems and on issues related to the well-posedness of hyperbolic initial-boundary value problems and the stability of their numerical approximations. He is presently working on some mathematical and computational problems related to the numerical modeling of ocean circulation. This modeling involves the solution of a system of partial differential equations that describes fluid flow, as adapted to that case. In this area, Higdon first worked on some problems with stability and efficiency that can arise from the multiple time scales that are contained in the system. He is presently working on a project to develop, analyze, and test some procedures for using discontinuous Galerkin numerical methods in multi-layer models of ocean circulation.
研究兴趣
论文共 23 篇作者统计合作学者相似作者
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MONTHLY WEATHER REVIEWno. 12 (2023): 3191-3208
COMPUTATIONAL CHALLENGES IN THE GEOSCIENCES (2013): 1-23
Journal of Computational Physics (2013): 36-66
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