UMA Home page for Jing-Rebecca Li
Research activities (sorry, only french text)
Diffusion magnetic resonance imaging and numerical methods for partial differential equations.
Fast algorithms for PDEs: accelerated convolutions, integral equation methods, exact boundary conditions, embedded Cartesian methods.
Numerical linear algebra: model reduction, matrix equations.
Publications
Papers in peer-reviewed journals
2021
- Practical computation of the diffusion MRI signal based on Laplace eigenfunctions: permeable interfaces
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NMR in Biomedicine, Wiley, 2021
2020
- Apparent diffusion coefficient measured by diffusion MRI of moving and deforming domains
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Journal of Magnetic Resonance, vol. 318, pp. 106809, Elsevier, sep, 2020 - Diffusion MRI simulation of realistic neurons with SpinDoctor and the Neuron Module
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NeuroImage, vol. 222, pp. 117198, Elsevier, nov, 2020 - Microstructural organization of human insula is linked to its macrofunctional circuitry and predicts cognitive control
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eLife, vol. 9, eLife Sciences Publication, jun, 2020 - Practical computation of the diffusion MRI signal of realistic neurons based on Laplace eigenfunctions
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NMR in Biomedicine, vol. 33 (10), Wiley, oct, 2020
2010
- Efficient solution of a wave equation with fractional order dissipative terms
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Journal of Computational and Applied Mathematics, vol. 234(6), pp. 2003-2010, 2010
2009
- A fast time stepping method for evaluating fractional integrals
SIAM Journal on Scientific Computing, 2009 - Efficient thermal field computation in phase field models
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Journal of Computational Physics, 2009 - Fast and accurate computation of layer heat potentials
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SIAM Journal on Scientific Computing, 2009
2008
- Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems
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Numerical Linear Algebra with Applications, vol. 15, pp. 755-777, 2008
2007
- On the numerical solution of the heat equation I: fast solvers in free space
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Journal of Computational Physics, vol. 226 (2), pp. 1891-1901, oct, 2007
2006
- Exact boundary conditions for periodic waveguides containing a local perturbation
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Communications in Computational Physics, vol. 1(6), pp. 945-973, 2006 - Low order approximation of the spherical nonreflecting boundary kernel for the wave equation
Linear Algebra and its Applications, vol. 415, pp. 455-468, jun, 2006
2004
- High order marching schemes for the wave equation in complex geometry
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Journal of Computational Physics, vol. 198, pp. 295-309, jul, 2004 - Low rank solution of Lyapunov equations
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SIAM Review, vol. 46(4), pp. 693–713, dec, 2004
2003
- Strongly consistent marching schemes for the wave equation
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Journal of Computational Physics, vol. 188, pp. 194-208, jun, 2003
2002
- Low rank solution of {L}yapunov equations
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SIAM Journal on Matrix Analysis and Applications, vol. 24, pp. 260 -- 280, 2002
2001
- Reduction of large circuit models via low rank approximate {G}ramians
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International Journal of Applied Mathematics and Computer Science, vol. 11(5), pp. 1151 - 1171, 2001
Chapters
2009
- Exact boundary conditions for wave propagation in periodic media containing a local perturbation
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E-Book Series Progress in Computational Physics (PiCP), Volume 1, dec, 2009 [
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2005
- Smith-Type methods for balanced truncation of large sparse systems
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Lecture Notes in Computational Science and Engineering, vol. 45, 2005
International conference with proceedings
2007
- Computation of harmonic wave propagation in infinite periodic media
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Report No.5/2007 of Mathematisches Forschungsinstitut Oberwolfach "Computational Electromagnetism and Acoustics, Oberwolfach., 2007
Conferences without proceedings
2008
- A fast time stepping method for evaluating fractional integrals
Fractional Differentiation and its Applications, nov, 2008 - Fast computation of time convolutions: the heat equation and fractional order integrals.
Numerical Methods Seminar, Paris 6, dec, 2008
2007
- Efficient solution of a wave equation with fractional order dissipative terms
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Waves, 2007 - Exact boundary conditions for locally perturbed 2d-periodic plane
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Mathematical and numerical aspects of wave propagation, Reading, 2007 - Fast and accurate computation of layer heat potentials
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6th International Congress on Industrial and Applied Mathematics, jul, 2007 - Fast recursive marching (FRM) method: a fast solver for the heat equation
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Mathematics Department Seminar, Courant Institute, Columbia University, University of Michigan, Dartmouth College, 2007 - Fast solver for the heat equation in unbounded domains
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6th International Congress on Industrial and Applied Mathematics, jul, 2007
2005
2004
1999
- An Efficient Lyapunov Equation-Based Approach for Generating Reduced Order Models of Interconnect
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pp. 1-6, Design Automation Conference, jun, 1999 - Efficient Model Reduction of Interconnect via Approximate System Grammians
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pp. 380 - 383, IEEE/ACM International Conference on Computer-Aided Design, nov, 1999
1997
- Improving the efficiency of multipole-accelerated method-of-moments solvers using dual grid multipole expansions
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pp. 236 - 239, IEEE 6th Topical Meeting on Electrical Performance of Electronic Packaging, oct, 1997
Poster
2020
- Diffusion MRI simulation of realistic neurons with SpinDoctor and the Neuron Module, ISMRM poster
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ISMRM 2020 - 28th Annual Meeting & Exhibition (Sydney), feb, 2020
Other publication
2020
- Quantitative modeling links in vivo microstructural and macrofunctional organization of human and macaque insular cortex, and predicts cognitive control abilities
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jan, 2020