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Recovery of a Time-Dependent Bottom Topography Function from the Shallow Water Equations via an Adjoint Approach

arXiv (Cornell University)(2020)10.48550/arxiv.2006.00117Source: DataRank Database

Recovery of a Time-Dependent Bottom Topography Function from the Shallow Water Equations via an Adjoint Approach is a research paper published in arXiv (Cornell University) (2020). On theSindex it has a DataRank of 0.

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Authors (4)

Yat Tin Chow ORCID,Weitao Chen ORCID,Yulong Xing ORCID,Jolene Britton ORCID

Live enrichment

PubMed:26207759 OpenAlex:https://openalex.org/W3031540298

National Science Foundation

Grant: 1853701

Integrating at Sub-Cellular Level the Biochemical and Biomechanical Signals with Stochasticity to Study the Regulation of Tissue Growth

National Science Foundation

Grant: 1753581

CAREER: High Order Structure-Preserving Numerical Methods for Hyperbolic Conservation Laws

National Science Foundation

Grant: 1762063

Combined Modeling and Experimental Study of the Mechanisms of Growth Patterns in Stem Cell Homeostasis in Plants

greenLicense: arXiv Non-Exclusive Distribution

repositoryhttps://arxiv.org/pdf/2006.00117

repositoryhttp://arxiv.org/abs/2006.00117

repositoryhttps://doi.org/10.48550/arxiv.2006.00117

https://doi.org/10.1137/20m1341787

http://arxiv.org/pdf/2006.00117

Fields of Study

Numerical methods in inverse problemsAdvanced Numerical Methods in Computational MathematicsComputational Fluid Dynamics and AerodynamicsOptimization and Control (math.OC)Numerical Analysis (math.NA)FOS: Mathematics01 natural sciences0101 mathematics

Keywords

Classification of discontinuitiesRegularization (linguistics)LinearizationRobustness (evolution)Shallow water equationsApplied mathematicsMathematical optimizationMathematicsComputer scienceMathematical analysisNonlinear systemPhysicsNumerical optimization and variational techniquesInverse problems for PDEsWater waves, gravity waves; dispersion and scattering, nonlinear interactioninverse problemsSmoothness and regularity of solutions to PDEsadjoint methodsNumerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEsNumerical methods for inverse problems for initial value and initial-boundary value problems involving PDEsNumerical Analysis (math.NA)PDEs in connection with fluid mechanicsFirst-order nonlinear hyperbolic equationshyberbolic balance lawsdiscontinuous Galerkin methodsOptimization and Control (math.OC)Hyperbolic conservation lawsFOS: MathematicsIll-posed problems for PDEsFinite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEsMathematics - Numerical Analysis\(L^1\) and \(H^1\) regularizationMathematics - Optimization and Control

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