Research interests and papers

Computing invariant tori and related topics

Publications

 

Medical Imaging

Effects of attenuation in single slow rotation dynamic SPECT
Author(s): Humphries, T.; Celler, A.; Trummer, M.
Source: Phuysics in Medicine and Biology, Volume: 57 Issue: 14 N253 Published: 2012

 

Slow-rotation dynamic SPECT with a temporal second derivative constraint
Author(s): Humphries, T.; Celler, A.; Trummer, M.
Source: Medical Physics Volume: 38 Issue: 8 Pages: 4489-4497 Published: AUG 2011

 

Segmentation-Based Regularization of Dynamic SPECT Reconstruction
Author(s): Humphries, T.; Saad, A.; Celler, A.; Hamarneh, G.; Möller, T.; Trummer, M.
Source: 2009 Ieee Nuclear Science Symposium Conference Record, Vols 1-5 Pages: 2849-2852 Published: 2009

Improved numerical integration for analytical photon distribution calculation in SPECT
Author(s): Humphries, T.; Celler, A.; Trummer, M. R.
Source: 2007 Ieee Nuclear Science Symposium Conference Record, Vols 1-11 Pages: 3548-3554 Published: 2007

An APD-based Iterative Reconstruction Method for Simultaneous Technetium-99m/Iodine-123 SPECT Imaging
Author(s): Shcherbinin, S.; Celler, A.; Trummer, M.; Humphries, T.;
Source: 2006 Ieee Nuclear Science Symposium Conference Record, Vol 1-6 Pages: 2058-2062 Published: 2006

An iterative dual-isotope method for simultaneous imaging of myocardial viability and perfusion
Author(s): Celler, A. M.; Shcherbinin, S.; Trummer, M.; Cohen, P.
Source: European Journal of Nuclear Medicine and Molecular Imaging Volume: 33 Pages: S217-S217 Published: SEP 2006

A NOTE ON THE ART OF RELAXATION
Author(s): TRUMMER, MR
Source: Computing Volume: 33 Issue: 3-4 Pages: 349-352 Published: 1984
Times Cited: 9

SMART - AN ALGORITHM FOR RECONSTRUCTING PICTURES FROM PROJECTIONS
Author(s): TRUMMER, MR
Source: Zeitschrift Fur Angewandte Mathematik Und Physik Volume: 34 Issue: 5 Pages: 743-753 Published: 1983

RECONSTRUCTING PICTURES FROM PROJECTIONS - ON THE CONVERGENCE OF THE ART ALGORITHM WITH RELAXATION
Author(s): TRUMMER, MR
Source: Computing Volume: 26 Issue: 3 Pages: 189-195 Published: 1981

 

Scientific Computing

Persistently positive inverses of perturbed M-matrices
Author(s): Haynes, Ronald D.; Trummer, Manfred R.; Kennedy, Shannon C.
Source: Linear Algebra and Its Applications Volume: 422 Issue: 2-3 Pages: 742-754 Published: APR 15 2007

Adaptive multiquadric collocation for boundary layer problems
Author(s): Ling, L; Trummer, MR
Source: Journal of Computational and Applied Mathematics Volume: 188 Issue: 2 Pages: 265-282 Published: APR 15 2006

Preconditioning for a class of spectral differentiation matrices
Author(s): Cao, WM; Haynes, RD; Trummer, MR
Source: Journal of Scientific Computing Volume: 24 Issue: 3 Pages: 343-371 Published: SEP 2005

Multiquadric collocation method with integral formulation for boundary layer problems
Author(s): Ling, L; Trummer, MR
Source: Computers & Mathematics With Applications Volume: 48 Issue: 5-6 Pages: 927-941 Published: SEP 2004

Spectral differencing with a twist
Author(s): Baltensperger, R; Trummer, MR
Source: Siam Journal on Scientific Computing Volume: 24 Issue: 5 Pages: 1465-1487 Published: 2003

Spectral methods in computing invariant tori
Author(s): Trummer, MR
Source: Applied Numerical Mathematics Volume: 34 Issue: 2-3 Pages: 275-292 Published: JUL 2000

Boundary layer resolving pseudospectral methods for singular perturbation problems
Author(s): Tang, T; Trummer, MR
Source: Siam Journal on Scientific Computing Volume: 17 Issue: 2 Pages: 430-438 Published: MAR 1996

Stability of numerical methods for solving differential equations
Author(s): Trummer, MR; Jeltsch, R; Mansour, M
Source: Stability Theory Volume: 121 Pages: 211-218 Published: 1996

A FINITE-DIFFERENCE SCHEME FOR COMPUTING INERTIAL MANIFOLDS
Author(s): KORONTINIS, KE; TRUMMER, MR
Source: Zeitschrift Fur Angewandte Mathematik Und Physik Volume: 46 Issue: 3 Pages: 419-444 Published: MAY 1995

Multigrid conformal mapping via the Szegö kernel
Author(s): Lee, B; Trummer, MR
Source: Electronic Transactions of Numerical Analysis Volume: 2 Pages: 22-43 Published: 1994

Approximating Inertial Manifolds by Finite-difference Methods.
Author(s): Korontinis, K.E.; Trummer, M.R.
Source: Hellenic European research on mathematics and informatics '94, 795-802, Hellenic Math Soc, Athens 1994

STEADY-STATE SOLUTIONS FOR A VISCOELASTIC CRACK UNDER AN ALTERNATING BENDING MOMENT
Author(s): GOLDEN, JM; GRAHAM, GAC; TRUMMER, MR
Source: International Journal of Engineering Science Volume: 32 Issue: 6 Pages: 899-914 Published: JUN 1994

SOME NUMERICAL ASPECTS OF COMPUTING INERTIAL MANIFOLDS
Author(s): RUSSELL, RD; SLOAN, DM; TRUMMER, MR
Source: Siam Journal on Scientific Computing Volume: 14 Issue: 1 Pages: 19-43 Published: JAN 1993

ON THE STRUCTURE OF JACOBIANS FOR SPECTRAL METHODS FOR NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS
Author(s): RUSSELL, RD; SLOAN, DM; TRUMMER, MR
Source: Siam Journal on Scientific and Statistical Computing Volume: 13 Issue: 2 Pages: 541-549 Published: MAR 1992

AN INSTABILITY PHENOMENON IN SPECTRAL METHODS
Author(s): TREFETHEN, LN; TRUMMER, MR
Source: Siam Journal on Numerical Analysis Volume: 24 Issue: 5 Pages: 1008-1023 Published: OCT 1987

EQUIVALENCE OF NYSTROM METHOD AND FOURIER METHODS FOR THE NUMERICAL-SOLUTION OF FREDHOLM INTEGRAL-EQUATIONS
Author(s): BERRUT, JP; TRUMMER, MR
Source: Mathematics of Computation Volume: 48 Issue: 178 Pages: 617-623 Published: APR 1987

AN EFFICIENT IMPLEMENTATION OF A CONFORMAL MAPPING METHOD BASED ON THE SZEGO KERNEL
Author(s): TRUMMER, MR
Source: Siam Journal on Numerical Analysis Volume: 23 Issue: 4 Pages: 853-872 Published: AUG 1986

NUMERICAL CONFORMAL MAPPING VIA THE SZEGO KERNEL
Author(s): KERZMAN, N; TRUMMER, MR
Source: Journal of Computational and Applied Mathematics Volume: 14 Issue: 1-2 Pages: 111-123 Published: FEB 1986

A METHOD FOR SOLVING ILL-POSED LINEAR OPERATOR-EQUATIONS
Author(s): TRUMMER, MR
Source: Siam Journal on Numerical Analysis Volume: 21 Issue: 4 Pages: 729-737 Published: 1984

A NOTE ON THE EVALUATION OF BOUNDED L2-FUNCTIONALS AT B-SPLINES AND ITS APPLICATION TO SINGULAR INTEGRAL-EQUATIONS
Author(s): TRUMMER, MR
Source: Zeitschrift Fur Angewandte Mathematik Und Physik Volume: 34 Issue: 6 Pages: 953-955 Published: 1983

 


Revised Septmeber 17, 2012.