Manfred Trummer - Faculty Page

Recent Papers

Sarah Nataj, Chen Greif, and Manfred Trummer. Numerical stability of structure-preserving direct solvers for centrosymmetric linear systems. Electron. Trans. Numer. Anal., 63:281–299, 2025.
Fatemeh PA Beik, Chen Greif, and Manfred Trummer. On the invertibility of matrices with a double saddle-point structure. Linear Algebra and its Applications, 699:403–420, 2024.
Chen Greif, Sarah Nataj, and Manfred Trummer. Incomplete double-cone factorizations of centrosymmetric matrices arising in spectral methods. Numerical Algorithms, 95(3):1359–1386, 2024.
Manfred R Trummer. The Szegö kernel and oblique projections: Conformal mapping of non-smooth regions. Numerical Algorithms, 95(2):929–942, 2024.
Jean-Paul Berrut and Manfred R Trummer. Extrapolation quadrature from equispaced samples of functions with jumps. Numerical Algorithms, 92(1):65–88, 2023.
Reuben Rauch, Manfred R Trummer, and JF Williams. A spectral collocation method for mixed functional differential equations. Applied Numerical Mathematics, 161:101–110, 2021.

Other Selected Papers

Leevan Ling and Manfred R Trummer. Adaptive multiquadric collocation for boundary layer problems. Journal of Computational and Applied Mathematics, 188(2):265–282, 2006.
Richard Baltensperger and Manfred R Trummer. Spectral differencing with a twist. SIAM Journal on Scientific Computing, 24(5):1465–1487, 2003.
Tao Tang and Manfred R Trummer. Boundary layer resolving pseudospectral methods for singular perturbation problems. SIAM Journal on Scientific Computing, 17(2):430–438, 1996.
Lloyd N Trefethen and Manfred R Trummer. An instability phenomenon in spectral methods. SIAM Journal on Numerical Analysis, 24(5):1008–1023, 1987.

Graduate Students

Name	Degree	Project / Thesis Title	Completed
Tetteh, Richmond	M.Sc.	Spectral Collocation Method for Boundary Value Problems with Boundary Layers	2021
Xu, Qinghong	M.Sc.	Autocalibration in MRI Reconstruction	2020
McCoid, Conor	M.Sc.	Accuracy, Stability and Preconditioning of Spectral Methods for Solving Differential Equations	2018
Nakano, Sonoko	Ph.D.	4D Reconstruction of Dynamic Studies with the Discovery NM 530c SPECT Camera	2016
Sharp, Nathan	M.Sc.	Barycentric Rational Interpolation and Spectral Methods	2014
Taghavi, Amir	M.Sc.	Spectral Methods on the Semi-infinite Line.	2013
Humphries, Thomas	Ph.D.	Dynamic SPECT Reconstruction	2011
Nakano, Sonoko	M.Sc.	Image Inpainting with the Complex Ginzberg Landau Equation	2010
Keeler, Todd	M.Sc.	transferred to Ph.D. program	2010
Qranfal, Joe	Ph.D.	Optimal Recursive Estimation Techniques for Dynamic Medical Image Reconstruction	2009
Humphries, Thomas	M.Sc.	Improved Numerical Integration for Analytically Based Scatter Correction in SPECT	2007
Ling, Leevan	Ph.D.	Radial Basis Functions in Scientific Computing	2003
Haynes, Ronald	Ph.D.	The Numerical Solution of Differential Equations: Grid Selection for Boundary Value Problems and Adaptive Time Integration Strategies	2003
Anhaouy, Pichmony	M.Sc.	Fourier Spectral Methods for the KdV Equation	2000
Ling, Leevan	M.Sc.	Iterative Methods for Toeplitz Systems	1999
Haynes, Ronald	M.Sc.	Invariant Manifolds of Dynamical Systems: Theory and Computation	1998
Cabal-Rodriguez, A	M.Sc.	Vortex dynamics of a channel with cavity flow	1993
Korontinis, Konstantinos	M.Sc.	The effects of space-discretizations on computing inertial manifolds	1992
Liu, Y	M.Sc.	The Pseudospectral Chebyshev method for two-point boundary value problems	1992
Lee, B	M.Sc.	Mutlilevel approaches to ill-posed equations	1992

Conference Organizer

June 2019 – 2019 CAIMS (Canadian Applied & Industrial Mathematics Society) Annual Meeting, Whistler, BC. 2019 Annual CAIMS Meeting. One of two organizers. 5-day conference with 200 participants.
March 2006 – BIRS Workshop 06w5049, March 25–30, 2006. Exploring the Frontiers of Dynamic Nuclear Medicine Imaging for Medical and Molecular Applications.
August 2005 – Adaptivity and Beyond: Computational Methods for Solving Differential Equations. International Conference in Vancouver, 65 participants.

Service

Dept Chair, Sep 2010 – April 2017, January 2021 – December 2023.
Deputy Director, Member of the Board of Directors, PIMS - The Pacific Institute for the Mathematical Sciences, September 2003 – February 2005.