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15 Jul 2023: SCI throughout computational mathematics 36/37. • Computer-assisted proofs (Σ1 Π11)• Fefferman, Seco, “Aperiodicity of the Hamiltonian flow in the Thomas-Fermi potential,” Rev. ... SCI throughout computational mathematics. Andrew Horning

20 Sep 2023: computational analysis Compute spectral properties rigorously, practically! • Continuous linear algebra Avoid the woes of discretization. • ... 16] Colbrook, Matthew J. "On the computation of geometric features of spectra of linear operators on

20 May 2024: operators for dynamical systems” Communications on Pure and Applied Mathematics, 2024.• C., "The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical. ... 17] Colbrook, Matthew J. "On the computation of geometric features of

19 Sep 2023: computational analysis Compute spectral properties rigorously, practically! • Continuous linear algebra Avoid the woes of discretization. • ... 16] Colbrook, Matthew J. "On the computation of geometric features of spectra of linear operators on

23 May 2024: operators for dynamical systems” Communications on Pure and Applied Mathematics, 2024.• C., "The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical. ... 17] Colbrook, Matthew J. "On the computation of geometric features of

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. ... Hairer and G. Wanner. Solving Ordinary Differential Equations II,

28 Nov 2023: 1. INTRODUCTION. Finite dimensional inverse problems are ubiquitous in the computational sciences as they naturally appearin a plethora of applications. ... 5. RELATION TO PREVIOUS WORK. As an ongoing topic of research in many areas of mathematics,

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. ... The SCI hierarchy captures many key computational issues in the

18 Dec 2023: Remark 1.3 (Trustworthiness of algorithms). By ’trustworthy algorithm’ for a computational problem, we meanthe following. ... Condition in optimisation: Condition numbers in computational mathematics and numerical analysis have beena mainstay [27, 39]

19 Nov 2023: e. the number of computational steps, and ‘space’i.e. the amount of computer memory workspace needed. ... Our discussion of computational complexity above shows that thelatter is surely the way to go!