Bowei (Bobbie) Wu Assistant Professor Department of Mathematical Sciences University of Massachusetts Lowell 1 University Ave Lowell, MA 01854 Office: 350N Southwick Hall Phone: (978)-934-5598 Email: Bobbie_Wu AT uml DOT edu

Teaching

Spring 2024

• MATH.5630/4540 Computational Mathematics

Past

• MATH.2210 Linear Algebra
• MATH.1225 Precalculus Mathematics I
• MATH.2310 Calculus III
• M408D Sequences, Series, and Multivariable Calculus (UT Austin)
• Math 115 Calculus I (Michigan)
• Math 116 Calculus II (Michigan)
• Math 216 Differential Equations (Michigan)

Research

• Research interests: scientific computing, integral equations, fluid dynamics, wave propagation

Publication

• Wu, B. and Martinsson, P.G., 2023. A unified trapezoidal quadrature method for singular and hypersingular boundary integral operators on curved surfaces. SIAM Journal on Numerical Analysis, 61(5), pp.2182-2208.
• Wu, B. and Cho, M.H., 2023. Robust fast direct integral equation solver for three-dimensional doubly periodic scattering problems with a large number of layers. Journal of Computational Physics, 495, p.112573.
• Wubshet, N.H., Wu, B., Veerapaneni, S. and Liu, A.P., 2023. Differential regulation of GUV mechanics via actin network architectures. Biophysical Journal, 122(11), pp.2068-2081.
• Wu, B. and Martinsson, P.G., 2021. Zeta correction: a new approach to constructing corrected trapezoidal quadrature rules for singular integral operators. Advances in Computational Mathematics, 47(3), p.45.
• Wu, B. and Martinsson, P.G., 2021. Corrected trapezoidal rules for boundary integral equations in three dimensions. Numerische Mathematik, 149, pp.1025-1071.
• Wang, Z., Wu, B., Garikipati, K. and Huan, X., 2020. A perspective on regression and Bayesian approaches for system identification of pattern formation dynamics. Theoretical and Applied Mechanics Letters, 10(3), pp.188-194.
• Wu, B., Zhu, H., Barnett, A. and Veerapaneni, S., 2020. Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme. Journal of Computational Physics, 410, p.109361.
• Wu, B. and Veerapaneni, S., 2019. Electrohydrodynamics of deflated vesicles: budding, rheology and pairwise interactions. Journal of Fluid Mechanics, 867, pp.334-347.
• Barnett, A., Wu, B. and Veerapaneni, S., 2015. Spectrally accurate quadratures for evaluation of layer potentials close to the boundary for the 2D Stokes and Laplace equations. SIAM Journal on Scientific Computing, 37(4), pp.B519-B542.

Code

• ZetaTrap2D - corrected trapezoidal quadrature rule for the Laplace, Helmholtz, and Stokes layer potentials on smooth curves in 2D
• ZetaTrap3D - corrected trapezoidal quadrature rule for the Laplace, Helmholtz, and Stokes layer potentials on smooth surfaces in 3D (small correction stencils, up to 5th order)
• ZetaTrap3D (Unified) - high-order corrected trapezoidal quadrature rule for the Laplace, Helmholtz, and Stokes layer potentials on smooth surfaces in 3D (up to 9th order, larger correction stencils)
• BIE2D - package for solving boundary value problems for piecewise constant coefficient linear PDEs using boundary integral equations (BIE) on curves.
• Vascular Net - generates a circular vascular network based on fractal Fibonacci trees
• Polygon B-Spline - smoothing polygons using B-splines/NURBS