James Bremer

Department of Mathematics, University of Toronto

I'm a professor in the University of Toronto's tricampus Department of Mathematics. I also have an appointment in the Department of Computer and Mathematical Sciences on the University of Toronto's Scarborough campus.

My research is principally concerned with the development of efficient algorithms for the numerical solution of elliptic boundary value problems and integral equations. Some of my projects include:

• Frequency-independent methods for the solution of ordinary differential equations [arXiv 2023], [arXiv 2023], [ACHA2018]
• A numerical algorithm for solving the two-dimensional Helmholtz equation in the special case of radially symmetric coefficients in time which grows linearly with frequency. [JCP 2020]
• A method for discretizing singular integral operators on surfaces with complicated geometry. [JCP 2012]
• Fast algorithms for applying special function transforms, including the spherical harmonic transform. [SISC 2021]
• High-order methods for the discretization of integral equations given on surfaces with complicated geometry, particularly those with edges and corners. [JCP 2010]

Many of my software packages are available at my GitHub page.

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