Discrete-analytical methods for the implementation of variational principles in environmental applications
DOI10.1016/J.CAM.2008.08.018zbMath1160.65052OpenAlexW2015205036MaRDI QIDQ1008702
Elena Tsvetova, Vladimir Penenko
Publication date: 30 March 2009
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2008.08.018
stabilitynumerical exampleinverse problemconsistencyvariational principleconvection-diffusionrisk assessmentnonlinear Burgers equationadjoint sensitivity problemdirect and inverse modellingdiscrete-analytical approximationLake Baikalmonotonic schemenumerical environment modelling
KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
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Cites Work
- Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
- Numerical study of modified Adomian's method applied to Burgers equation
- On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
- Methods of sensitivity theory and inverse modeling for estimation of source parameters
- Mathematical models of environmental forecasting
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