Brittany Hamfeldt
(Brittany D. Froese, Brittany Froese Hamfeldt) Associate Professor, Mathematical Sciences
617 Cullimore Hall
Education
Ph.D.; Simon Fraser University; Applied Mathematics; 2012
M.S.; Simon Fraser University; Applied Mathematics; 2009
B.S.; Trinity Western University; Mathematics; 2007
M.S.; Simon Fraser University; Applied Mathematics; 2009
B.S.; Trinity Western University; Mathematics; 2007
Website
2023 Spring Courses
MATH 792B - PRE DOCTORAL RESEARCH
MATH 546 - ADVANCED CALCULUS II
MATH 790A - DOCT DISSERTATION & RES
MATH 492 - INDEPENDENT STUDY II
MATH 481 - ADVANCED CALCULUS
MATH 546 - ADVANCED CALCULUS II
MATH 790A - DOCT DISSERTATION & RES
MATH 492 - INDEPENDENT STUDY II
MATH 481 - ADVANCED CALCULUS
Past Courses
MATH 111: CALCULUS I
MATH 337: LINEAR ALGEBRA
MATH 480: INTRO MATH ANALYSIS
MATH 481: ADVANCED CALCULUS
MATH 545: INTRO MATH ANALYSIS
MATH 546: ADVANCED CALCULUS
MATH 546: ADVANCED CALCULUS II
MATH 614: NUMERICAL METHODS I
MATH 651: METHODS OF APPLIED MATH I
MATH 707: ST: OPTIMAL TRANSPORT
MATH 337: LINEAR ALGEBRA
MATH 480: INTRO MATH ANALYSIS
MATH 481: ADVANCED CALCULUS
MATH 545: INTRO MATH ANALYSIS
MATH 546: ADVANCED CALCULUS
MATH 546: ADVANCED CALCULUS II
MATH 614: NUMERICAL METHODS I
MATH 651: METHODS OF APPLIED MATH I
MATH 707: ST: OPTIMAL TRANSPORT
Journal Article
Hamfeldt, Brittany, & Turnquist, Axel (2022). A convergence framework for optimal transport on the sphere. Numerische Mathematik, 151, 627-657.
Hamfeldt, Brittany, & Lesniewski, Jacob (2022). A convergent finite difference method for computing minimal Lagrangian graphs. Communications on Pure & Applied Analysis, 21(2), 393-418.
Hamfeldt, Brittany, & Lesniewski, Jacob (2022). Convergent finite difference methods for fully nonlinear elliptic equations in three dimensions. Journal of Scientific Computing, 90(1),
Hamfeldt, Brittany, & Turnquist, Axel (2021). Convergent numerical method for the reflector antenna problem via optimal transport on the sphere. Journal of the Optical Society of America A, 38(11), 1704-1713.
Hamfeldt, Brittany, & Turnquist, Axel (2021). A convergent finite difference method for optimal transport on the sphere. Journal of Computational Physics, 445(15),
Hamfeldt, Brittany, & Lesniewski, Jacob (2022). A convergent finite difference method for computing minimal Lagrangian graphs. Communications on Pure & Applied Analysis, 21(2), 393-418.
Hamfeldt, Brittany, & Lesniewski, Jacob (2022). Convergent finite difference methods for fully nonlinear elliptic equations in three dimensions. Journal of Scientific Computing, 90(1),
Hamfeldt, Brittany, & Turnquist, Axel (2021). Convergent numerical method for the reflector antenna problem via optimal transport on the sphere. Journal of the Optical Society of America A, 38(11), 1704-1713.
Hamfeldt, Brittany, & Turnquist, Axel (2021). A convergent finite difference method for optimal transport on the sphere. Journal of Computational Physics, 445(15),
SHOW MORE
Hamfeldt, Brittany (2019). Convergence framework for the second boundary value problem for the Monge-Amp`ere equation. SIAM Journal on Numerical Analysis, 57(2), 945-971.
Hamfeldt, Brittany, & Salvador, Tiago (2018). Higher-order adaptive finite difference methods for fully nonlinear elliptic equations. Journal of Scientific Computing, 75(3), 1282-1306.
Hamfeldt, Brittany (2018). Convergent approximation of non-continuous surfaces of prescribed Gaussian curvature. Communications on Pure and Applied Analysis, 17(2), 671-707.
Yang, Yunan, & Engquist, Bjorn, & Sun, Junzhe, & Hamfeldt, Brittany (2018). Application of Optimal Transport and the Quadratic Wasserstein Metric to Full-Waveform Inversion. Geophysics, 83(1), R43-R62.
Hamfeldt, Brittany (2018). Meshfree finite difference approximations for functions of the eigenvalues of the Hessian. Numerische Mathematik, 138(1), 75-99.
Feng, Zexin, & Hamfeldt, Brittany, & Liang, Rongguang, & Cheng, Dewen, & Wang, Yongtian (2017). Simplified freeform optics design for complicated laser beam shaping. Applied Optics, 56(33), 9308-9314.
Liu, Jun, & Hamfeldt, Brittany, & Oberman, Adam, & Xiao, Mingqing (2017). A multigrid scheme for 3D Monge-Ampere equations. International Journal of Computer Mathematics, 94(9), 1850-1866.
Froese, Brittany, & Oberman, Adam, & Salvador, Tiago (2017). Numerical methods for the 2-Hessian elliptic partial differential equation. IMA Journal of Numerical Analysis, 37(1), 209-236.
Engquist, Bjorn, & Hamfeldt, Brittany, & Yang, Yunan (2016). Optimal transport for seismic full waveform inversion. Communications in Mathematical Sciences, 14(8), 2309-2330.
Feng, Zexin, & Hamfeldt, Brittany, & Liang, Rongguang (2016). Freeform illumination optics construction following an optimal transport map. Applied Optics, 55(16), 4301-4306.
Feng, Zexin, & Hamfeldt, Brittany, & Rongguang, Liang (2015). Composite method for precise freeform optical beam shaping. Applied Optics, 54(31), 9364-9369.
Feng, Zexin, & Hamfeldt, Brittany, & Huang, Chih-Yu, & Ma, Donglin, & Liang, Rongguang (2015). Creating unconventional geometric beams with large depth of field using double freeform-surface optics. Applied Optics, 54(20), 6277-6281.
Engquist, Bjorn, & Hamfeldt, Brittany, & Tsai, Yen-Hsi Richard (2015). Fast sweeping methods for hyperbolic systems of conservation laws at steady state II. Journal of Computational Physics, 286, 70-86.
Engquist, Bjorn, & Hamfeldt, Brittany (2014). Application of the Wasserstein metric to seismic signals. Communications in Mathematical Sciences, 12(5), 979-988.
Benamou, Jean-David, & Hamfeldt, Brittany, & Oberman, Adam (2014). Numerical solution of the Optimal Transportation problem using the Monge-Ampère equation. Journal of Computational Physics, 260, 107-126.
Hamfeldt, Brittany, & Oberman, Adam (2013). Convergent filtered schemes for the Monge-Ampère partial differential equation. SIAM Journal on Numerical Analysis, 51(1), 423-444.
Engquist, Bjorn, & Hamfeldt, Brittany, & Tsai, Yen-Hsi Richard (2013). Fast sweeping methods for hyperbolic systems of conservation laws at steady state. Journal of Computational Physics, 255, 316-338.
Hamfeldt, Brittany (2012). A numerical method for the elliptic Monge-Ampere equation with transport boundary conditions. SIAM Journal on Scientific Computing, 34(3), A1432-A1459.
Hamfeldt, Brittany, & Oberman, Adam (2011). Convergent finite difference solvers for viscosity solutions of the elliptic Monge-Ampère equation in dimensions two and higher. SIAM Journal on Numerical Analysis, 49(4), 1692-1714.
Hamfeldt, Brittany, & Oberman, Adam (2011). Fast finite difference solvers for singular solutions of the elliptic Monge-Ampère equation. Journal of Computational Physics, 230(3), 818-834.
Benamou, Jean-David, & Hamfeldt, Brittany, & Oberman, Adam (2010). Two numerical methods for the elliptic Monge-Ampère equation. ESAIM: Mathematical Modelling and Numerical Analysis, 44(4), 737-758.
Hamfeldt, Brittany, & Oberman, Adam (2009). Numerical averaging of non-divergence structure elliptic operators. Communications in Mathematical Sciences, 7(4), 785-804.
Hamfeldt, Brittany, & Salvador, Tiago (2018). Higher-order adaptive finite difference methods for fully nonlinear elliptic equations. Journal of Scientific Computing, 75(3), 1282-1306.
Hamfeldt, Brittany (2018). Convergent approximation of non-continuous surfaces of prescribed Gaussian curvature. Communications on Pure and Applied Analysis, 17(2), 671-707.
Yang, Yunan, & Engquist, Bjorn, & Sun, Junzhe, & Hamfeldt, Brittany (2018). Application of Optimal Transport and the Quadratic Wasserstein Metric to Full-Waveform Inversion. Geophysics, 83(1), R43-R62.
Hamfeldt, Brittany (2018). Meshfree finite difference approximations for functions of the eigenvalues of the Hessian. Numerische Mathematik, 138(1), 75-99.
Feng, Zexin, & Hamfeldt, Brittany, & Liang, Rongguang, & Cheng, Dewen, & Wang, Yongtian (2017). Simplified freeform optics design for complicated laser beam shaping. Applied Optics, 56(33), 9308-9314.
Liu, Jun, & Hamfeldt, Brittany, & Oberman, Adam, & Xiao, Mingqing (2017). A multigrid scheme for 3D Monge-Ampere equations. International Journal of Computer Mathematics, 94(9), 1850-1866.
Froese, Brittany, & Oberman, Adam, & Salvador, Tiago (2017). Numerical methods for the 2-Hessian elliptic partial differential equation. IMA Journal of Numerical Analysis, 37(1), 209-236.
Engquist, Bjorn, & Hamfeldt, Brittany, & Yang, Yunan (2016). Optimal transport for seismic full waveform inversion. Communications in Mathematical Sciences, 14(8), 2309-2330.
Feng, Zexin, & Hamfeldt, Brittany, & Liang, Rongguang (2016). Freeform illumination optics construction following an optimal transport map. Applied Optics, 55(16), 4301-4306.
Feng, Zexin, & Hamfeldt, Brittany, & Rongguang, Liang (2015). Composite method for precise freeform optical beam shaping. Applied Optics, 54(31), 9364-9369.
Feng, Zexin, & Hamfeldt, Brittany, & Huang, Chih-Yu, & Ma, Donglin, & Liang, Rongguang (2015). Creating unconventional geometric beams with large depth of field using double freeform-surface optics. Applied Optics, 54(20), 6277-6281.
Engquist, Bjorn, & Hamfeldt, Brittany, & Tsai, Yen-Hsi Richard (2015). Fast sweeping methods for hyperbolic systems of conservation laws at steady state II. Journal of Computational Physics, 286, 70-86.
Engquist, Bjorn, & Hamfeldt, Brittany (2014). Application of the Wasserstein metric to seismic signals. Communications in Mathematical Sciences, 12(5), 979-988.
Benamou, Jean-David, & Hamfeldt, Brittany, & Oberman, Adam (2014). Numerical solution of the Optimal Transportation problem using the Monge-Ampère equation. Journal of Computational Physics, 260, 107-126.
Hamfeldt, Brittany, & Oberman, Adam (2013). Convergent filtered schemes for the Monge-Ampère partial differential equation. SIAM Journal on Numerical Analysis, 51(1), 423-444.
Engquist, Bjorn, & Hamfeldt, Brittany, & Tsai, Yen-Hsi Richard (2013). Fast sweeping methods for hyperbolic systems of conservation laws at steady state. Journal of Computational Physics, 255, 316-338.
Hamfeldt, Brittany (2012). A numerical method for the elliptic Monge-Ampere equation with transport boundary conditions. SIAM Journal on Scientific Computing, 34(3), A1432-A1459.
Hamfeldt, Brittany, & Oberman, Adam (2011). Convergent finite difference solvers for viscosity solutions of the elliptic Monge-Ampère equation in dimensions two and higher. SIAM Journal on Numerical Analysis, 49(4), 1692-1714.
Hamfeldt, Brittany, & Oberman, Adam (2011). Fast finite difference solvers for singular solutions of the elliptic Monge-Ampère equation. Journal of Computational Physics, 230(3), 818-834.
Benamou, Jean-David, & Hamfeldt, Brittany, & Oberman, Adam (2010). Two numerical methods for the elliptic Monge-Ampère equation. ESAIM: Mathematical Modelling and Numerical Analysis, 44(4), 737-758.
Hamfeldt, Brittany, & Oberman, Adam (2009). Numerical averaging of non-divergence structure elliptic operators. Communications in Mathematical Sciences, 7(4), 785-804.
COLLAPSE
Technical Report
Generalised finite difference methods for Monge-Ampere equations
Applications of Optimal Transportation in the Natural Sciences, Oberwolfach Report, 2017
Applications of Optimal Transportation in the Natural Sciences, Oberwolfach Report, 2017
Chapter
Benamou, Jean-David, & Hamfeldt, Brittany (2017). Weak Monge-Ampere solutions of the semi-discrete optimal transportation problem, Bergounioux, Maïtine and Oudet, Édouard and Rumpf, Martin and Carlier, Guillaume and Champion and Thierry and Santambrogio, Filippo (Eds.), Topological Optimization: Optimal Transport in the Applied Sciences. (pp. 175-203). Topological Optimization: Optimal Transport in the Applied Sciences