James Bremer
Assistant Professor

Email: bremer (at) math (dot) ucdavis (dot) edu
Office: 2230 Mathematical Sciences Building
Office Phone: (530) 754-6887

Office Hours for Winter Quarter, 2012

Teaching for Winter Quarter, 2012

• MAT125b: Real Analysis II
• MAT22b: Differential equations

Preprints

A Nystrom method for weakly singular integral operators on surfaces. PDF.

A fast direct solver for the integral equations of scattering theory on planar curves with corners. PDF.

Recent Talks

Recent advances in integral equation methods

Duke Univesity, February 10, 2012. PDF.

Recent advances in integral equation methods

University of California, Berkeley, December 7, 2011. PDF.

The numerical solution of integral equations on singular domains

Conference on Frontiers in Applied and Computational Mathematics

New Jersey Insitute of Technology, June 2011 PDF.

Numerical solution of integral equations on domains with corners

University of Michigan, December 2010. PDF.

Boundary integral equations on singular domains,

IMA Workshop "Integral Equation Methods, Fast Algorithms and Applications"

University of Minnesota, August 5 2010. PDF.

Recent Papers

A fast direct solver for the integral equations of scattering theory on planar curves with corners.

Journal of Computational Physics, 231 (2012), pp. 1879-1899. Link.

On the Nystrom discretization of integral equations on planar curves with corners.

Applied and Computational Harmonic Analysis, 32 (2012), pp. 45-64. Link.

An adaptive fast direct solver for boundary integral equations in two dimensions (with W. Y. Kong and V. Rokhlin),

Applied and Computational Harmonic Analysis, 31 (2011), pp. 346-369. Link.

Universal quadratures for boundary integral equations on two-dimensional domains with corners (with V. Rokhlin and I. Sammis),

Journal of Computational Physics, 229 (2010), pp. 8259-8280. Link.

A nonlinear optimization procedure for generalized Gaussian quadratures (with V. Rokhlin and Z. Gimbutas),

SIAM Journal of Scientific Computing, 32 (2010), pp. 1761-1788. Link.

Efficient discretization of Laplace boundary integral equations on polygonal domains (with V. Rokhlin),

Journal of Computational Physics, 229 (2010), pp. 2507-2525. Link.