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1 - 10 of 24 search results for `problems in computational mathematics` |u:www.damtp.cam.ac.uk

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  2. PhD Projects

    www.damtp.cam.ac.uk/research/afha/subpages/PhDs.html
    25 Sep 2022: Fascinatingly, there are several fundamental problems in computational mathematics that are still open, e.g. ... computing spectra of Schrödinger operators. This rather theoretical project, relying on functional analysis and operator theory, will be

  3. Georg Maierhofer - Hooke Research Fellow at the University of Oxford

    www.damtp.cam.ac.uk/user/gam37/
    11 Jun 2024: My main research interests focus on problems in computational mathematics for partial differential equations and the study of waves. ... Advances in Computational Mathematics (2022). Download:Acoustic and hydrodynamic power of wave scattering by an

  4. Bogdan Roman - Applied Functional and Harmonic Analysis

    www.damtp.cam.ac.uk/user/abr28/
    20 Apr 2022: Research bits. Interested in compressed sensing, signal processing, sampling theory, inverse problems, computational mathematics. ... B. Adcock, A. C. Hansen, B. Roman, G. Teschke, Generalized sampling: stable reconstructions, inverse problems and

  5. Bogdan Roman - Applied Functional and Harmonic Analysis

    www.damtp.cam.ac.uk/research/afha/bogdan/
    6 Nov 2019: Research bits. Interested in compressed sensing, signal processing, sampling theory, inverse problems, computational mathematics. ... B. Adcock, A. C. Hansen, B. Roman, G. Teschke, Generalized sampling: stable reconstructions, inverse problems and

  6. CCA Projects - Applied Functional and Harmonic Analysis

    www.damtp.cam.ac.uk/research/afha/projects.html
    25 Sep 2022: Fascinatingly, there are several fundamental problems in computational mathematics that are still open, e.g. ... computing spectra of Schrödinger operators. This rather theoretical project, relying on functional analysis and operator theory, will be

  7. Can everything be computed? - On the Solvability ComplexityIndex ...

    www.damtp.cam.ac.uk/research/afha/projects/CCA_Project5_SCI.pdf
    5 Oct 2013: Fascinatingly, there are several fundamental problems in computational mathematics that are stillopen, for example the problem of computing spectra of Schrödinger operators. ... This project will be about such fundamental problems in computations.

  8. Smale’s 18th Problem and the Barriers of Deep Learning-4mm

    www.damtp.cam.ac.uk/user/mjc249/talks/OWML_mjc
    11 May 2022: I True statements in mathematics that cannot be proven! I Computational problems that cannot be computed by an algorithm! ... As demonstrated in [14], this is a universalphenomenon in DL for inverse problems.

  9. The difficulty of computing stable and accurate neural networks On…

    www.damtp.cam.ac.uk/user/mjc249/talks/SAE_mjc.pdf
    9 Feb 2023: I True statements in mathematics that cannot be proven! I Computational problems that cannot be computed by an algorithm! ... As demonstrated in [14], this is a universalphenomenon in DL for inverse problems.

  10. COMPUTING SPECTRA – ON THE SOLVABILITY COMPLEXITY INDEX HIERARCHYAND…

    www.damtp.cam.ac.uk/research/afha/anders/SCI_FINAL.pdf
    20 Nov 2023: This is a classification hierarchy for all types of prob-lems in computational mathematics that allows for classifications determining the boundaries of what algorithmscan achieve. ... CONTENTS. 1. Introduction 12. The SCI hierarchy in mathematics 42.1.

  11. G-Adaptive mesh refinement - leveraging graphneural networks and…

    www.damtp.cam.ac.uk/user/gam37/preprints/preprint_g-adaptive_mesh_refinement.pdf
    11 Jun 2024: 2 Related work. ML and PDEs As indicated above, the effective approximation of solutions to partial differentialequations is one of the central problems in computational mathematics. ... Problems. Communications in Mathematics and Statistics, 6(1):1–12,

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