Data assimilation in 2D viscous Burgers equation using a stabilized explicit finite difference scheme run backward in time

Stabilized leapfrog scheme run backward in time, and the explicit O(Δ t)2 stepwise computation of ill-posed time-reversed 2D Navier–Stokes equations

(2021) Alfred S. Carasso   INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

Stable explicit stepwise marching scheme in ill-posed time-reversed 2D Burgers' equation

(2018) Alfred S. Carasso   INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

Numerical aspects of large-time optimal control of Burgers equation

(2016) Navid Allahverdi et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Stability estimates for Burgers-type equations backward in time

(2015) Dinh Nho Hào et al.   Journal of Inverse and Ill-Posed Problems

Special issue on inverse problems in geosciences

(2013) Haroldo F. de Campos Velho et al.   INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

An evolution of the back and forth nudging for geophysical data assimilation: application to Burgers equation and comparisons

(2012) Didier Auroux et al.   INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

Reconstructing the past from imprecise knowledge of the present: Effective non-uniqueness in solving parabolic equations backward in time

(2012) Alfred S. Carasso   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

The Back and Forth Nudging algorithm for data assimilation problems : theoretical results on transport equations

(2011) Didier Auroux et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Calibrating image roughness by estimating Lipschitz exponents, with applications to image restoration

(2008) András E. Vladár   OPTICAL ENGINEERING