Brittany D. Froese - SFU Wiki - Simon Fraser University
Brittany D. Froese - SFU Wiki - Simon Fraser University
Brittany D. Froese - SFU Wiki - Simon Fraser University
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<strong>Brittany</strong> D. <strong>Froese</strong><br />
Contact<br />
Information<br />
Research<br />
Interests<br />
Education<br />
8513 TASC-2<br />
Department of Mathematics Phone: (778) 241-7355<br />
<strong>Simon</strong> <strong>Fraser</strong> <strong>University</strong><br />
E-mail: bdf1@sfu.ca<br />
PDEs, numerical analysis, optimal transport, adaptive methods, image processing, homogenisation,<br />
optimisation<br />
<strong>Simon</strong> <strong>Fraser</strong> <strong>University</strong>, Burnaby, BC, Canada<br />
• Doctor of Philosophy, September 2009 - July 2012 (Expected)<br />
• Field of Study: Applied Mathematics<br />
• CGPA: 4.33<br />
<strong>Simon</strong> <strong>Fraser</strong> <strong>University</strong>, Burnaby, BC, Canada<br />
• Master of Science, September 2007 - August 2009<br />
• Field of Study: Applied Mathematics<br />
• CGPA: 4.19<br />
Trinity Western <strong>University</strong>, Langley, BC, Canada<br />
• Bachelor of Science, September 2003 - April 2007<br />
• Major: Mathematics, Minor: Physics<br />
• CGPA: 4.20<br />
Awards and NSERC Postdoctoral Fellowship ($80,000) 2012-2014<br />
Honours NSERC Alexander Graham Bell CGS-D ($70,000) 2010-2012<br />
<strong>SFU</strong> Graduate Research Fellowship ($6,250) 2010<br />
Pacific Century Graduate Scholarship ($10,000) 2009-2010<br />
<strong>SFU</strong> Department of Mathematics Graduate Scholarship ($500) 2009<br />
NSERC PGS-M Extension ($17,300) 2008-2009<br />
<strong>SFU</strong> Graduate Research Fellowship ($6,250) 2008<br />
NSERC PGS-M ($17,300) 2007-2008<br />
<strong>SFU</strong> Special Graduate Entrance Scholarship ($2,000) 2007<br />
Governor General’s Silver Medal 2007<br />
Publications<br />
<strong>Brittany</strong> D. <strong>Froese</strong> and Adam M. Oberman. Accurate convergent finite difference approximations<br />
for viscosity solutions of the elliptic Monge-Ampère partial differential<br />
equation. Submitted.<br />
<strong>Brittany</strong> D. <strong>Froese</strong>. A numerical method for the elliptic Monge-Ampère equation with<br />
transport boundary conditions. SIAM Journal on Scientific Computing, to appear.<br />
<strong>Brittany</strong> D. <strong>Froese</strong> and Adam M. Oberman. Convergent finite difference solvers for viscosity<br />
solutions of the elliptic Monge-Ampère equation in dimensions two and higher.<br />
SIAM Journal on Numerical Analysis, 49(4):1692–1714, 2011.<br />
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<strong>Brittany</strong> D. <strong>Froese</strong> and Adam M. Oberman. Fast finite difference solvers for singular<br />
solutions of the elliptic Monge-Ampère Equation. Journal of Computational Physics,<br />
230(3):818-834, 2011.<br />
Jean-David Benamou, <strong>Brittany</strong> D. <strong>Froese</strong>, and Adam M. Oberman. Two numerical<br />
methods for the elliptic Monge-Ampère Equation. ESAIM: Mathematical Modelling<br />
and Numerical Analysis, 44(4):737-758, 2010.<br />
<strong>Brittany</strong> D. <strong>Froese</strong> and Adam M. Oberman. Numerical averaging of non-divergence<br />
structure elliptic operators. Communications in Mathematical Sciences, 7(4):785-804,<br />
2009.<br />
Conference Numerical methods for the Monge-Ampère equation with transport boundary condi-<br />
Presentations tions. ICIAM: Minisymposium on Numerical Methods for Monge-Ampère Equations<br />
and Optimal Transportation, Vancouver, BC (2011).<br />
A numerical method for the elliptic Monge-Ampère equation with transport boundary<br />
conditions. Applied Analysis and PDEs, Victoria, BC (2011).<br />
Finite difference methods for viscosity solutions of the Monge-Ampère equation. Joint<br />
Mathematics Meeting: Special Session on Mathematics of Computation, New Orleans,<br />
LA (2011).<br />
Numerical methods for the elliptic Monge-Ampère equation. Monge-Kantorovich Optimal<br />
Transport - Theory and Applications, Santa Fe, NM (2009).<br />
Departmental<br />
Seminars<br />
Numerical methods for L 2 optimal transport using the Monge-Ampère equation.<br />
• Mathematics Colloquium, WWU, Bellingham, WA (2011).<br />
• PIMS/CSC Seminar, <strong>SFU</strong>, Burnaby, BC (2011).<br />
Posters<br />
Numerical methods for the Monge-Ampère equation and optimal transport. CMS Winter<br />
Meeting, Vancouver, BC (2010).<br />
• Received CMS President’s Award.<br />
Fast finite difference methods for the elliptic Monge-Ampère equation. IRMACS Computational<br />
Math Day, Burnaby, BC (2010).<br />
Theses<br />
Numerical methods for the elliptic Monge-Ampère equation and optimal transport,<br />
Ph.D. Thesis, <strong>Simon</strong> <strong>Fraser</strong> <strong>University</strong>, 2012. In preparation.<br />
Numerical methods for two second order elliptic equations, Master’s Thesis, <strong>Simon</strong><br />
<strong>Fraser</strong> <strong>University</strong>, 2009.<br />
Homotopy analysis method for axisymmetric flow of a power law fluid past a stretching<br />
sheet, Bachelor’s Thesis, Trinity Western <strong>University</strong>, 2007.<br />
Teaching Substitute Lecturer (<strong>SFU</strong>) Summer 2011 - Fall 2011<br />
Experience Gave several substitute lectures for MACM 316 (Numerical Analysis I), MATH 150<br />
(Calculus I), and APMA 922 (Numerical PDEs).<br />
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Teaching Assistant (<strong>SFU</strong>) January 2010 - April 2010<br />
Ran tutorials and graded for MATH 309 (Continuous Optimisation).<br />
Substitute Lecturer (<strong>SFU</strong>) July 2009<br />
Gave several substitute lectures for MATH 242 (Introduction to Analysis).<br />
Teaching Assistant (<strong>SFU</strong>) September 2007 - December 2007<br />
Worked as tutor and marker for first year applied calculus courses.<br />
Teaching Assistant (TWU) September 2006 - April 2007<br />
Ran tutorials and marked assignments for first year calculus.<br />
Tutor (TWU Student Association) September 2005 - April 2006<br />
Ran tutorials for a number of first through fourth year math classes.<br />
Event<br />
Organisation<br />
Skills<br />
Applied Mathematics Graduate Student Conference January 2009<br />
Co-organiser.<br />
Programming with Matlab, Maple, C++<br />
Typesetting with L A TEX<br />
Experience with Microsoft Office<br />
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