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math.NA2021★ 3 cited
STENCIL-NET: Data-driven solution-adaptive discretization of partial differential equations
Suryanarayana Maddu, Dominik Sturm, Bevan L. Cheeseman +2
Numerical methods for approximately solving partial differential equations (PDE) are at the core of scientific computing. Often, this requires high-resolution or adaptive discretiz…
math.NA2019★ 15 cited
Stability selection enables robust learning of partial differential equations from limited noisy data
Suryanarayana Maddu, Bevan L. Cheeseman, Ivo F. Sbalzarini +1
We present a statistical learning framework for robust identification of partial differential equations from noisy spatiotemporal data. Extending previous sparse regression approac…
math.NA2018
Multivariate Newton Interpolation
Michael Hecht, Karl B. Hoffmann, Bevan L. Cheeseman +1
For , and a given function , the polynomial interpolation problem (PIP) is to determine a unisolvent node…