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Luca Daniel
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Research:
Selected
Publications on Magnetic Resonance and Biomedical Systems:
- I.
Giannakopoulos, G D. Guryev; J. E. C. Serrallés;
I. P. Georgakis; L. Daniel, J, K, White, R. Lattanzi, “Compression
of volume-surface integral equation matrices via Tucker decomposition for
magnetic resonance applications”, IEEE Antenna Propagation Symposium,
2023 (APS Best Paper Award)
- B Guerin,
J Villena, A Polimeridis, E Adalsteinsson, L Daniel, J K White, L
Wald, “The ultimate signal-to-noise ratio in realistic body
models”. Journal of Magnetic Resonance in Medicine, 78: C1.
doi:10.1002/mrm.26449 Nov 2017 (Nov 2017 Journal Cover)
- J E C Serrallés, I Georgakis, A G Polimeridis,
L Daniel, J K White, D K Sodickson, R Lattanzi, "Volumetric
Reconstruction of Tissue Electrical Properties from B1+ and MR Signals
Using Global Maxwell Tomography: Theory and Simulation Results, ISMRM:
International Society for Magnetic Resonance in Medicine, Apr 2017. (ISMRM Best Poster Award Finalist)
- J.E.C. Serrallés, A.G. Polimeridis,
M.V. Vaidya, G. Haemer, J.K. White, D.K.
Sodickson, L. Daniel, R. Lattanzi. “Global Maxwell Tomography: a
novel technique for electrical properties mapping without symmetry
assumptions or edge artifacts”, ISMRM Singap,
May2016. (ISMRM Best Poster Award
Finalist)
- I. Butterworth, J. Seralles, C.S. Mendoza, L. Giancardo,
L. Daniel: A wearable physiological hydration monitoring wristband through
multi-path non-contact dielectric spectroscopy in the microwave range.
IEEE MTT-S 2015 (IMWS-BIO), Taipei, Page(s):60-61 Sep. 2015 (IMWS-BIO Best
Student Paper Award)
- J. Fernandez Villena, A. G. Polimeridis,
B. Guerin, Y. Eryaman, L. L. Wald, E.
Adalsteinsson, J. K. White, and L. Daniel. “Fast Electromagnetic
Analysis of Transmit RF Coils based on Accelerated Integral Equation
Methods”. International Society for Magnetic Resonance in Medicine
(ISMRM) 2014 Annual Meeting. Milan, Italy May, 2014. (ISMRM Summa cum Laude Merit Award)
- J. F. Villena, A. G. Polimeridis,
B. Guerin, Y. Eryaman, L. L. Wald, E.
Adalsteinsson, J. White, and L. Daniel, “Fast Electromagnetic
Analysis of Transmit RF Coils based on Accelerated Integral Equation
Methods”, International Society for Magnetic Resonance in Medicine
(ISMRM) 2014 Annual Meeting. Milan, Italy. May 2014. (ISMRM Summa cum Laude Merit Award)
- Z. Mahmood, B. Guérin,
B. Keil, E. Adalsteinsson, L. L. Wald and L.
Daniel. “Design of a Robust Decoupling Matrix for High Field Parallel
Transmit Arrays”. International Society for Magnetic Resonance in
Medicine (ISMRM) 2014 Annual Meeting. Milan, Italy May, 2014. (ISMRM Magna Cum Laude Merit Paper
Award).
Selected
Publications on System Identification:
- T. Bradde, S. Grivet-Talocia, G. C. Calafiore, A. Proskurnikov, Z. Mahmood, L. Daniel, On Dissipativity
Conditions for Linearized Models of Locally Active Circuit Blocks, In:
Electrical Performance of Electronic Packaging and Systems (EPEPS), 2020. (EPEPS Best
Conference Paper Award)
- Z.
Mahmood, S. Grivet-Talocia, G.C. Calafiore, L. Daniel (2014). Optimal
passivity enforcement of state-space models via localization methods. In:
Electrical Performance of Electronic Packaging and Systems (EPEPS), 2014
IEEE 23rd Conference on, Portland, OR, 26-29 Oct. 2014. pp. 89-92 (EPEPS Best
student paper award)
- Z. Mahmood, L. Daniel,
"Guaranteed Passive Parameterized Modeling of Multiport Passive
Circuit Blocks", Proc. of TECHCON11, Austin TX, Sept. 2011. (Techcon Best Paper & Presentation Award).
- Z. Mahmood, B. Bond, L.
Daniel, “System Level Modeling and Simulation of Analog Circuits
Using Semidefinite Programming Based Compact Modeling Techniques”,
Proc. of TECHCON 2010 conference, Austin, TX, 13-14 Sept. 2010. (Techcon Best Paper and Presentation Award).
- B. Bond,
Z. Mahmood, R. Sredojevic, Y. Li, A. Megretski, V. Stojanovic, Y.
Avniel, L. Daniel, “Compact
Stable Modeling of Nonlinear Analog Circuits using System Identification
via Semi-Definite Programming and Robustness Certification,”
IEEE Trans. on Computer Aided Design of Integrated Circuits and Systems,
vol. 29,no 8, p. 1149-1162, August 2010.
- K. C. Sou, A. Megretski, L. Daniel,
"A
Quasi-Convex Optimization Approach to Parameterized Model Order Reduction",
IEEE Transactions on Computer-Aided Design of Integrated Circuits and
Systems, vol. 27, no. 3, p. 456-469, March 2008.
Selected
Publications on Tensors and Handling High Dimensional Data
- Z Zhang,
T-W Weng and L Daniel, “Big-data tensor recovery for
high-dimensional uncertainty quantification of process variations,”
IEEE Trans. Component, Packaging and Manufacturing Technology. Page(s):
687 – 697 Volume: 7, Issue: 5, May 2017. (Best Paper Award IEEE Trans. Components, Packaging and
Manufacturing Technology)
- Z Zhang, K
Batselier, H Liu, L Daniel, N Wong “Tensor
Computation: A New Framework for High-Dimensional Problems in EDA, IEEE
Transactions on Computer-Aided Design of Integrated Circuits and
Systems”, pp. 521-536, vol. 36, no. 4, April 2017. (IEEE
Transaction Keynote Paper)
- Z. Zhang, T.-W. Weng, L. Daniel, "A big-data approach to
handle process variations: uncertainty quantification by tensor
recovery," IEEE Workshop on Signal and Power Integrity, 4 pages,
Turin, Italy, May 2016. (SPI Best Paper Award)
- H. Liu, L. Daniel, N. Wong:
Model Reduction and Simulation of Nonlinear Circuits via Tensor
Decomposition. IEEE Trans. on CAD of Integrated Circuits and Systems
34(7): 1059-1069 Jul 2015.
- Z Zhang, X Yang, I V. Oseledets, G E. Karniadakis,
L. Daniel: Enabling High-Dimensional Hierarchical Uncertainty
Quantification by ANOVA and Tensor-Train Decomposition. IEEE Trans. on CAD
of Integrated Circuits & Systems 34(1): 63-76 (Jan 2015). (TCAD Popular Paper)
Selected
Publications on Model Order Reduction:
- Z. Zhang, I. M. Elfadel, L. Daniel, "Model order reduction of
fully parameterized systems by recursive least square optimization,"
Int. Conf. Computer-Aided Design (ICCAD), pp. 523-530, San Jose, CA, Nov.
2011. (IEEE/ACM William J. McCalla ICCAD Best Paper Award Nomination)
- Z. Zhang, Q. Wang, N. Wong,
L. Daniel, “A moment-matching scheme for the passivity-preserving
model order reduction of indefinite descriptor systems with possible
polynomial parts,” in Proc. Asia and South Pacific Design Automation
Conference (ASP-DAC), pp. 49-54, Yokohama, Japan, Jan. 2011. (ASP-DAC Best Paper Award Nomination)
- B. Bond,
L. Daniel, "Stable
Reduced Models for Nonlinear Descriptor Systems Through Piecewise-Linear
Approximation and Projection", IEEE Transactions on
Computer-Aided Design of Integrated Circuits and Systems, vol. 28, no. 10,
p. 1467-1480, October 2009.
- B. Bond
and L. Daniel, "Guaranteed
Stable Projection-Based Model Reduction for Indefinite and Unstable Linear
Systems" Proceedings of the IEEE Conference on Computer-Aided
Design, San Jose, p. 728-35, November 2008. (IEEE/ACM
William J. McCalla ICCAD Best Paper Award).
- L. Daniel,
C. S. Ong, S. C. Low, K. H. Lee, J. White, "A Multiparameter Moment
Matching Model Reduction Approach for Generating Geometrically
Parameterized Interconnect Performance Models", IEEE Transaction
on Computer Aided Design of Integrated Circuits and Systems, vol. 23, no.
5, p. 678-93, May 2004. (More than 290 citations as of April 2016).
- J.
Phillips, L. Daniel, L. M. Silveira, "Guaranteed
Passive Balancing Transformations for Model Order Reduction",
IEEE/ACM 39th Design Automation Conference, New Orleans, LA, p. 52-7, June
2002. (DAC
Best Paper Award, More than 290 citations as of April 2016).
Selected
Publications on Quantification of the Lack of Robustness in Deep Neural
Networks
- H Zhang, T-W Weng, P-Y Chen, C-J Hsieh, L
Daniel, "Efficient Neural Network Robustness Certification with
General Activation Functions" NeurIPS: Conference on Neural
Information Processing Systems, p:4944-4953, Dec 2018
- T-W Weng, H Zhan1,
H Chen, Z Song, C-J Hsieh, D Boning, I Dhillon, Luca Daniel, “Toward Fast Computation
of Robustness for ReLU Networks”, ICML: International
Conference on Machine Learning, Jun 2018
- T-W Weng, H Zhang,
P-Y Chen, J Yi, D Su, Y Gao, C-J Hsieh, L Daniel, “Evaluating the Robustness
of Neural Networks: An Extreme Value Theory Approach”, ICLR:
International Conference on Learning Representations, Vancouver, May 2018
- T-W. Weng,
R. Mazumder, L. Daniel, “Computing Least
Trimmed Squares Regression to Certifiable Optimality”, NIPS - Conf.
on Neural Information Processing Systems – Women in Machine Learning
Workshop, Long Beach, CA, Dec. 2017.
- T-W Weng,
L. Daniel, "Robust PCA through Robust Optimization, NIPS - Conf. on
Neural Information Processing Systems – Women in Machine Learning
Workshop, Long Beach, CA, Dec 2017.
Selected
Publications on Stochastic Electromagnetic Solvers:
- Z Zhang, S
El-Henawy, A Sadun, R
Miller, L Daniel, ‘Adjoint-Based
Sensitivity Analysis for Silicon Photonic Variations’, IEEE MTT-S:
Intl. Conf. on Numerical Electromagnetic and Multiphysics Modeling and
Optimization, Cambridge, May 2019. (Invited
paper).
- P
Maffezzoni, Z. Zhang, S. Levantino, L Daniel,
“Variation-Aware Modeling of Integrated Capacitors Based on Floating
Random Walk Extraction,” TCAD: IEEE Transaction on Computer Aided
Design of Integrated Circuits and Systems, 37(10): 2180-2184, Oct 2018.
- W. Yu B.
Zhang, C. Zhang, H Wang, L. Daniel, “Utilizing Macromodels
in Floating Random Walk Based Capacitance Extraction", IEEE/ACM
Design Automation Conference in Europe, Dresden March 2016. (IEEE DATE
Best Paper Award)
- T. Moselhy,
L. Daniel, “Variation-Aware
Stochastic Extraction with Large Parameter Dimensionality: Review and
Comparison of State of the Art Intrusive and Non-Intrusive Techniques”,
International Symposium on Quality Electronic Design (ISQED), Santa Clara,
CA March 2011. (Invited Paper)
- T.
Moselhy, I. Elfadel, L. Daniel, “A Markov
Chain Based Hierarchical Algorithm for Capacitance Extraction”,
IEEE Trans. on Advanced Packaging, vol. 33,no 4,p. 818-828, Nov. 2010.
(Invited Paper).
- T.
El-Moselhy, L. Daniel, “Stochastic Dominant
Singular Vectors Method for Variation-Aware Extraction,”
IEEE/ACM Design Automation Conf., Anaheim, CA, June 2010.
- T.
Moselhy, L. Daniel, “Variation-Aware
Interconnect Extraction using Statistical Moment Preserving Model Order
Reduction,” IEEE Conference on Design Automation and Test in
Europe (DATE), March 2010. (Best Paper Award Nomination).
Selected
Publications on Electromagnetic Integral Equation Solvers:
- I.
Giannakopoulos, G D. Guryev; J. E. C. Serrallés;
I. P. Georgakis; L. Daniel, J, K, White, R. Lattanzi, “Compression
of volume-surface integral equation matrices via Tucker decomposition for
magnetic resonance applications”, IEEE Antenna Propagation Symposium,
2023 (APS Best Paper Award)
- J. F.
Villena, A. G. Polimeridis, B. Guerin, Y. Eryaman,
L. L. Wald, E. Adalsteinsson, J. White, and L. Daniel, “Fast
Electromagnetic Analysis of Transmit RF Coils based on Accelerated
Integral Equation Methods”, International Society for Magnetic
Resonance in Medicine (ISMRM) 2014 Annual Meeting. Milan, Italy. May 2014.
(Summa cum
Laude Merit Award)
- T. Moselhy
, X. Hu, L. Daniel, "pFFT
in FastMaxwell: A Fast Impedance Extraction Solver for 3D Conductor
Structures over Substrate", IEEE Conference on Design Automation
and Test in Europe (DATE), p. 1194-1199, April 2007. (DATE Best Paper Award Nomination).
- L. Daniel, A. Sangiovanni-Vincentelli, J. White, "Proximity Templates for Modeling of Skin and
Proximity Effects on Packages and High Frequency Interconnect",
IEEE/ACM International Conference on Computer Aided Design, San Jose, CA,
p. 326-33, November 2002.
- L. Daniel, A. Sangiovanni-Vincentelli, J.
White, "Electromagnetic Modeling using Conduction Modes as
Global Basis Functions", in Proceedings of the IEEE 9th
Conference on Electrical Performance of Electronic Packages and Systems,
Scottsdale, AZ, p. 203-6, October 2000. (IBM
Corporation EPEPS Prize Paper Award).
Selected
Publications on Stochastic Circuit Simulators and Stochastic ODE Solvers:
- A Bernardini, P Maffezzoni, L
Daniel, A Sarti: “Wave-Based Analysis of
Large Nonlinear Photovoltaic Arrays,” TCAS: IEEE Transaction on
Circuits and Systems 65-I(4): 1363-1376, Apr 2018
- Z. Zhang,
T.-W. Weng, L. Daniel, "A big-data approach to handle process variations:
uncertainty quantification by tensor recovery," IEEE Workshop on
Signal and Power Integrity, 4 pages, Turin, Italy, May 2016. (SPI Best
Paper Award)
- Z. Zhang,
PhD Thesis (advisee): Uncertainty Quantification for Integrated Circuits
and Microelectromechanical Systems (PDF file). (2016 ACM Outstanding Ph.D
Dissertation Award in EDA, 2015 MIT Microsystems Technology Laboratory MTL Doctoral Dissertation
Seminar Award)
- Zheng
Zhang, Xiu Yang, Ivan V. Oseledets, George E. Karniadakis, Luca Daniel: Enabling High-Dimensional
Hierarchical Uncertainty Quantification by ANOVA and Tensor-Train
Decomposition. IEEE Trans. on CAD of Integrated Circuits and Systems
34(1): 63-76 (2015). (TCAD Popular Paper).
- Z. Zhang,
X. Yang, G. Marucci, P. Maffezzoni, I. M. Elfadel,
G. Karniadakis and L. Daniel, ``Stochastic
testing simulator for integrated circuits and MEMS: Hierarchical and
sparse techniques,'' IEEE Custom Integrated Circuits Conf. (CICC), 8
pages, San Jose, CA., Sept. 2014. (CICC
Invited Paper, Best Paper Nomination)
- Z. Zhang,
T. El-Moselhy, I. M. Elfadel and L. Daniel, “Stochastic
testing method for transistor-level uncertainty quantification based on
generalized polynomial chaos,” IEEE Trans. Computer-Aided Design
of Integrated Circuits and Systems, vol. 32, no. 10, pp. 1533-1545,
October 2013. (IEEE Trans on Computer Aided Design Best Paper Award)
Selected
Publications on Oscillators:
- P
Maffezzoni, L Daniel,
“Exploiting Oscillator Arrays As Randomness Sources
for Cryptographic Applications. IEEE Trans. on CAD of Integrated Circuits
and Systems,” 37(12): 2999-3007, Dec 2018
- Bichoy Bahr, PhD Thesis (advisee):
monolithically integrated MEMS resonators and oscillators in standard IC
technology June 2016. (MIT Microsystems Technology Laboratory (MTL) Doctoral Dissertation
Seminar Award 2016)
- P. Maffezzoni, B. Bahr, Z. Zhang, L. Daniel: Reducing Phase Noise
in Multi-Phase Oscillators. IEEE Trans. on Circuits and Systems 63-I(3): 379-388. March 2016.
- P. Maffezzoni, B. Bahr, Z. Zhang, L. Daniel: Analysis and Design of
Weakly Coupled LC Oscillator Arrays Based on Phase-Domain Macromodels. IEEE Trans. on CAD of Integrated Circuits
and Systems 34(1): 77-85 (Jan 2015). (TCAD Popular Paper)
- P. Maffezzoni, Z. Zhang and
L. Daniel, "A study of deterministic jitter in crystal
oscillators," in IEEE Trans. Circuits and Systems I, vol. 61-I, no.4,
pp. 1044-1054, March 2014. (TCAD
Popular Paper)
- Z. Zhang, T. El-Moselhy, P. Maffezzoni, I. M. Elfadel
and L. Daniel, "Efficient uncertainty quantification for the periodic
steady state of forced and autonomous circuits," IEEE Trans. Circuits
and Systems II: Express Briefs (TCAS-2), vol. 60, no.10, pp. 687-691, October 2013.
Selected
Publications in Micro-Electro-Mechanical Systems
- B. Bahr, L. Daniel, D.
Weinstein: “Optimization of Unreleased CMOS-MEMS RBTs.” IEEE
International Frequency Control Symposium IFCS 2016, New Orleans, LA, May
2016.
- Z. Zhang,
PhD Thesis (advisee): Uncertainty Quantification for Integrated Circuits
and Microelectromechanical Systems (PDF file). (2016 ACM Outstanding Ph.D
Dissertation Award in EDA, 2015 MIT Microsystems Technology Laboratory MTL Doctoral Dissertation
Seminar Award)
- Z. Zhang, X. Yang, G. Marucci, P. Maffezzoni, I. M. Elfadel, G. Karniadakis and L. Daniel, ``Stochastic testing
simulator for integrated circuits and MEMS: Hierarchical and sparse
techniques,'' IEEE Custom Integrated Circuits Conf. (CICC), 8 pages, San
Jose, CA., Sept. 2014. (CICC
Invited Paper, Best Paper Nomination)
- Z. Zhang, M. Kamon and L.
Daniel, “Continuation-based pull-in and lift-off simulation
algorithms for microelectromechanical systems,” IEEE/ASME Journal of
Micro- electromechanical Systems, volume 23, issue 5, pages 1084-1093,
(2014).
- R. Marathe, B. Bahr, W. Wang, Z. Mahmood, L. Daniel and D.
Weinstein, “Resonant Body Transistors in IBM’s 32nm SOI CMOS
Technology”, IEEE Journal of Micro-Electro-Mechanical Systems, vol: PP, no. 99, October 2013.
Selected
Publications on Electrical Power Distribution:
- G Gruosso, P Maffezzoni,
Z Zhang, L Daniel, “Probabilistic load flow methodology for
distribution networks including loads uncertainty”, Intern Journal
of Electrical Power & Energy Systems 106, 392-400, March 2019.
- G Gruosso, P Maffezzoni,
G S Gajani, Z Zhang, L Daniel,
‘Uncertainty-aware Computational Tools for Power Distribution
Networks including Electrical Vehicle Charging and loads profiles’,
IEEE Access, 2019
- G Gruosso, R Netto, P Maffezzoni, Z Zhang, L Daniel, “Low Voltage
Electrical Distribution Network Analysis under load variation”,
ICIT: IEEE International Conference on Industrial Technology, Lyon, Feb
2018
Selected
Publications on Power Electronics and Micro-Fabrication Process Development:
- L. Daniel, C. R. Sullivan, S. R. Sanders. “Design of Microfabricated
Inductors”, IEEE Transactions on Power Electronics, vol. 14, no.
4, p. 709-23, July 1999. (Power Electronic
Society Award for Best Journal Paper in the year 1999).
- L. Daniel,
"Design and Fabrication of MicroInductors
for DC/DC Power Converters," Laurea Thesis,
Universita' degli Studi di Padova, Jun 1996
- L. Daniel, C. R. Sullivan and S. R. Sanders, "Design of Microfabricated
Inductors", in Proceedings of the 27th Annual IEEE Power
Electronics Specialists Conference, Baveno,
Italy, pt. 2, vol. 2, p. 1447-55, June 1996.
More Publications by our
research group at MIT
Public Domain
Open Source Software by our research group at MIT:
- FastMaxwell,
[by Tarek El-Moselhy] An
open-source, full-wave, 3D, electromagnetic solver for efficient
extraction of interconnect structures above a substrate. The code is
accelerated via the efficient discrete complex image method, efficient
full-wave integration routines and an iterative precorrected fast Fourier
transform matrix vector product. The code has been tested on a variety of
large scale (up to 300,000 unknowns) structures.
- Caplet [by YuChung Hsiao] A
C++ open source capacitance extraction. Specialized instantiable basis
function templates move the computational bottleneck of this integral
equation solver from the non-embarrassingly parallelizable matrix solver
to the embarrassingly parallelizable matrix setup phase. 90% parallel
efficiencies have been demonstrated on tens of cores. “Real-time”
capacitance extraction performance (could be used to generate 3D field
solver accurate parasitic capacitance values while dragging and stretching
wires with the mouse). CAPLET can directly handle GDS2 layout files into
capacitance matrices in both GUI and command line interfaces. The internal
extraction algorithm is specialized for VLSI interconnect structures but
not exclusively, as long as the structure is of Manhattan geometry and
embedded in uniform dielectric.
- Squid (stable
quasiconvex identification) [by Kin
Cheong Sou] An open-source matlab tool for the generation of reduced
order linear system models from available transfer function data points.
The tool is based on a quasi-convex relaxation of a system identification
problem subject to stability and passivity constraints.
- mmbasic:
[by Brad Bond] Basic Moment Matching
Tools (Matlab, Octave). A collection of Matlab functions for model
reduction of linear systems via moment matching. This is intended as a
teaching tool to illustrate how moment matching works.
- newton1d: [by Brad Bond] Simple 1-D Newton solver (Matlab,
Octave). A simple 1-dimensional Newton solver for Matlab. Plots each
linearization as Newton progresses, a useful tool for teaching/learning
about Newton's method and when it has trouble converging.
- SMORES: [by Brad Bond] Simulation and Model Order
Reduction of Electrical Systems. A Matlab circuit simulator that reads
spice-like netlists and performs several types of analysis.
- Stins (stable identification
of nonlinear systems) [Brad Bond], A public domain open source
matlab code for generating guaranteed stable compact models of nonlinear
analog circuit blocks from input/output data (e.g. low noise amplifiers,
mixers, or power amplifiers).
- STPWL: [by Brad Bond] Stabilized Trajectory PieceWise Linear model reduction. This is a collection
of Matlab functions for generating stable trajectory piecewise linear
reduced models for nonlinear systems.
- Mems. [by Brad Bond] A set of Matlab functions
describing a dynamical system model of a MEMS switch.
- SpectralProjector:
[by Zheng Zhang]
Spectral projector computation, index checking and system decomposition
for linear DAEs (or linear time-invariant descriptor systems)
- M2VerilogA:
[by Zohaib Mahmood] A wrapper
class which takes in S-parameter or Z-parameter file in `.snp' touchstone format
or .mat file in matlab and generates a compact dynamical model. The code
incorporates binary search to find minimum system order for given error
bound. The final model is saved in a verilogA file which can be easily
interfaced with commercial simulators such as spectre.
- DecouplingMatrix_MRI
[by Zohaib
Mahmood] open source MATLAB code for automated design of a decoupling
matrix connected between the power amplifiers and coupled RF arrays. This
decoupling matrix mixes the input signals and transforms the impedance to
ensure all forward power is delivered to the load
- MARIE [by Athanasios Polimeridis and Jorge Villena] - Magnetic
Resonance Integral Equation suite. An open source MATLAB code for the
electromagnetic analysis of high field MRI problems with realistic human
body models, including transmit and receive coil analysis.
Teaching:
- Introduction
to modeling & simulation of complex & multi-disciplinary dynamical
systems (Masdar: January16; PoliMilano: Summer16; Univ. Pisa: June17,
HKUST June18).
- MIT Grad.
2.096/6.336/16.910 Introduction to Modeling and Simulation (Fall04,
Fall05, Fall06, Fall07, Fall08, Fall09, Fall10, Fall11, Fall12, Fall13,
Fall14, Fall16, Fall17, Fall18, Fall19, Fall20, Fall31, Fall22, Fall23).
- MIT Grad.
2.097/6.339/16.920 Numerical Methods for Partial Differential Equations
(Fall07, Fall11).
- MIT
Undergrad. 6.013 Electromagnetics & Applications (Spring10, Spring11,
Spring12, Spring13, Spring14, Spring15, Spring16, Spring17, Spring18, Spring19,
Spring20, Spring21, Spring22, Spring23)
- MIT Undergrad. 6.003 Signals and Systems (Spring03,
Spring04, Spring05, Spring06, Spring07, Spring08, Spring09)
- Introduction
to Model Order Reduction (MIT: Fall05, Spring06; Univ. Pisa:
Summer06, Summer09; PoliTorino: Summer11,
Summer12; PoliMilano: Summer14, Summer15).
- MIT
Undergrad. 6.041 Probabilistic Systems Analysis and Applied Probability
(Fall03)
- UCB Grad.
EE219A Computer Aided Verification of Electronic Circuits and Systems
(Fall98)