Inverse Problems and Data Assimilation Wiki and International Community

Topics in Inverse Problems and Data Assimilation

News

Little survey about classical and remote sensing data used for numerical weather prediction, see nwp_measurements.
INSPIRE DIRECTIVE - Infrastructure for Spatial Data: inspire.
Great ressources on the human brain - with intense interaction to inverse problems techniques and medical imaging: http://www.thehumanbrain.info/
New website about earth observation satellites earth_observation_satellites.
Probing the invisible, from the earthquake to the model Film at http://imaginary.org
Provide your lecture notes on inverse problems or data assimilation to a wider public! Contact info@inverseproblems.info!
LaTeX as basis for writing in the mathematical sciences: see the strong statement of the AMS: LaTeX Benefits.

Inverse Problems

Theory of Regularization

Tikhonov Regularization
Spectral Damping
Choice of the Regularization Parameters
Bayesian Methods and Regularization

Source Reconstruction

Uniqueness, Non-Uniqueness and Stability Results
Reconstruction of Acoustic Sources
Reconstruction of Currents
Magnetic Tomography

Inverse Scattering

Inverse Scattering
Uniqueness and Stability Result
Iterative Reconstruction Methods
Sampling and Probing Methods
Time-Domain Methods

Image Reconstruction

Denoising
Filtering

Computerized Tomography (CT)

Classical CT
Radon Transform
Limited Aperture CT
GPS/GNSS Tomography

Optical Diffusion Tomography (ODT)

Uniqueness and Stability Results
Methods for ODT

Heat Transfer Inverse Problems

Uniqueness and Stability Results
Reconstruction of Heat Functions

Inverse Fluid Dynamics

Uniqueness and Stability Results
Flow Reconstruction Methods

Data Assimilation and Dynamical Inverse Problems

Theory of Data Assimilation

Uniqueness
Stability
Controlability

Methods for Data Assimilation

Optimal Interpolation
Three-Dimensional Variational Data Assimilation (3dVar)
Four-Dimensional Variational Data Assimilation (4dVar)
Kalman Filter
Ensemble Kalman Filter (e.g. EnKF, LETKF)
Bayesian Methods
Markov Chain Monte Carlo (MCMC)
Particle Filters (e.g. SIR)
Gaussian Mixture Models

Measurement Classes in Data Assimilation

Survey about NWP Measurements

In-Situ Measurements
Radar Measurements
Radiances
- Infrared Sounders
- Microwave Sounders
- Radiances over Land
- Cloudy Radiances
GPS/GNSS Measurements
Radio-Occultations

INSPIRE DIRECTIVE - Infrastructure for Spatial Data: inspire.

If you want to contribute, please send an email to info@inverseproblems.info. You can either send us the material you would like to be included, or get access and put the material on yourself.

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