Carola-Bibiane Schönlieb (born 1979)[1] is an Austrian mathematician who works in image processing and partial differential equations.

[2] She is the author of the book Partial Differential Equation Methods for Image Inpainting (Cambridge University Press, 2015), on methods for using the solutions to partial differential equations to fill in gaps in digital images.

[2] Her dissertation, Modern PDE Techniques for Image Inpainting, was supervised by Peter Markowich.

[5] She won a Philip Leverhulme Prize in 2017, and is the 2018 Mary Cartwright Lecturer of the London Mathematical Society.

[8][9] In 2021 she was elected Council Members-at-Large for SIAM for a term running January 1, 2022 - December 31, 2024.