SlideShare a Scribd company logo
ECE 552
Numerical Circuit Analysis
Fall 2017
Instructor: Ibrahim Hajj
Web Page http://courses.engr.illinois.edu/ece552/
Official Description Formulation of circuit equations; sparse matrix algorithms for the
solution of large systems, AC, DC, and transient analysis of electrical
circuits; sensitivity analysis; decomposition methods; reduced-order
modeling. Same as CSE 532. Prerequisite: MATH 415 and ECE 210.
Topics  Network topology: circuit equation formulation; nodal analysis;
modified nodal analysis
 Solution of linear circuit equations: LU factorization; relaxation
methods
 Sparse matrix techniques for circuit equation solution:
decomposition techniques
 DC solution of nonlinear circuits: fixed-point; Newton's methods;
modified Newton's method; relaxation methods; Gauss-Seidel
method, piecewise-linear solution techniques
 Transient analysis: numerical integration; linear multistep
methods; stability; accuracy, step control, companion models;
time-domain decomposition methods; relaxation methods;
analysis sequencing; latency; timing analysis
 Sensitivity analysis: small-change and large-change sensitivities
 Reduced-order modeling
Text
Grading:
Midterm 20%
Final exam 40%
Project 30%
HWs 10%
I. N. Hajj, Computational Methods in Circuit Simulation. Amazon 2016.
References:
1. J. Vlach and K. Singhal, Computer Methods for Circuit Analysis & Design,
Van Nostrand Reinhold Co., 2nd ed., 1994.
2. L. T. Pillage, R. A. Rohrer and C. Visweswariah, Electronic and System
Simulation Methods, McGraw-Hill, Inc., 1995.
3. Farid Najm, Circuit Simulation, IEEE/John Wiley, 2010
4. J.D. Lambert, Numerical methods for Ordinary Differential Equations,
John Wiley, 1991.
5. G. H. Golub and C. F. Van Loan, Matrix Computations, The John Hopkins
University Press, 3rd Edition, 1996.
6. Y. Saad, Iterative Methods for Sparse Linear Systems, 2nd Edition, Siam
2003.

More Related Content

Similar to Ece 552 f2017-syllabus

3rd to 8th semester Electronics and Communication Engineering (2010 Scheme) S...
3rd to 8th semester Electronics and Communication Engineering (2010 Scheme) S...3rd to 8th semester Electronics and Communication Engineering (2010 Scheme) S...
3rd to 8th semester Electronics and Communication Engineering (2010 Scheme) S...
BGS Institute of Technology, Adichunchanagiri University (ACU)
 
Drdo syllabus
Drdo syllabusDrdo syllabus
Drdo syllabus
bikram ...
 
Gate 2012
Gate 2012Gate 2012
Gate 2012
xsuvra
 
ECE syllabus.pdf much more about the gate and the
ECE syllabus.pdf much more about the gate and theECE syllabus.pdf much more about the gate and the
ECE syllabus.pdf much more about the gate and the
SmarajitMishra4
 
Ec 2022 gate syllabus
Ec 2022 gate syllabusEc 2022 gate syllabus
Ec 2022 gate syllabus
AkasGkamal2
 
Ee
EeEe
Gate syllabus
Gate syllabusGate syllabus
Gate syllabus
msraju86
 
Ece gate syllabus 2020
Ece gate syllabus 2020Ece gate syllabus 2020
Ece gate syllabus 2020
Aaron Bhatta
 
Syllabus of ias
Syllabus of iasSyllabus of ias
Syllabus of ias
Parul Gupta
 
Syllabus of ias
Syllabus of iasSyllabus of ias
Syllabus of ias
Parul Gupta
 
Instruction for GATE Exam.pptx
Instruction for GATE Exam.pptxInstruction for GATE Exam.pptx
Instruction for GATE Exam.pptx
MikkiliSuresh
 
VTU Syllabus - 2010 Scheme (III to VIII Semester)
VTU Syllabus - 2010 Scheme (III to VIII Semester)VTU Syllabus - 2010 Scheme (III to VIII Semester)
VTU Syllabus - 2010 Scheme (III to VIII Semester)
Ravikiran A
 
BE EC syllabus
BE EC syllabusBE EC syllabus
BE EC syllabus
Vijayananda Mohire
 
Sigma delta adc
Sigma delta adcSigma delta adc
Sigma delta adc
dimitar53
 
CAB
CABCAB
After B.Tech
After B.TechAfter B.Tech
After B.Tech
balukits
 
Ece syllabus
Ece syllabusEce syllabus
Ece syllabus
thirumalg
 
AP PGECET Electronics & Communication 2018 Syllabus
AP PGECET Electronics & Communication 2018 SyllabusAP PGECET Electronics & Communication 2018 Syllabus
AP PGECET Electronics & Communication 2018 Syllabus
Eneutron
 
Gate 2017 insyllabus
Gate 2017 insyllabusGate 2017 insyllabus
Gate 2017 insyllabus
Mickey Boz
 
Gate syll
Gate syllGate syll
Gate syll
gagankurer
 

Similar to Ece 552 f2017-syllabus (20)

3rd to 8th semester Electronics and Communication Engineering (2010 Scheme) S...
3rd to 8th semester Electronics and Communication Engineering (2010 Scheme) S...3rd to 8th semester Electronics and Communication Engineering (2010 Scheme) S...
3rd to 8th semester Electronics and Communication Engineering (2010 Scheme) S...
 
Drdo syllabus
Drdo syllabusDrdo syllabus
Drdo syllabus
 
Gate 2012
Gate 2012Gate 2012
Gate 2012
 
ECE syllabus.pdf much more about the gate and the
ECE syllabus.pdf much more about the gate and theECE syllabus.pdf much more about the gate and the
ECE syllabus.pdf much more about the gate and the
 
Ec 2022 gate syllabus
Ec 2022 gate syllabusEc 2022 gate syllabus
Ec 2022 gate syllabus
 
Ee
EeEe
Ee
 
Gate syllabus
Gate syllabusGate syllabus
Gate syllabus
 
Ece gate syllabus 2020
Ece gate syllabus 2020Ece gate syllabus 2020
Ece gate syllabus 2020
 
Syllabus of ias
Syllabus of iasSyllabus of ias
Syllabus of ias
 
Syllabus of ias
Syllabus of iasSyllabus of ias
Syllabus of ias
 
Instruction for GATE Exam.pptx
Instruction for GATE Exam.pptxInstruction for GATE Exam.pptx
Instruction for GATE Exam.pptx
 
VTU Syllabus - 2010 Scheme (III to VIII Semester)
VTU Syllabus - 2010 Scheme (III to VIII Semester)VTU Syllabus - 2010 Scheme (III to VIII Semester)
VTU Syllabus - 2010 Scheme (III to VIII Semester)
 
BE EC syllabus
BE EC syllabusBE EC syllabus
BE EC syllabus
 
Sigma delta adc
Sigma delta adcSigma delta adc
Sigma delta adc
 
CAB
CABCAB
CAB
 
After B.Tech
After B.TechAfter B.Tech
After B.Tech
 
Ece syllabus
Ece syllabusEce syllabus
Ece syllabus
 
AP PGECET Electronics & Communication 2018 Syllabus
AP PGECET Electronics & Communication 2018 SyllabusAP PGECET Electronics & Communication 2018 Syllabus
AP PGECET Electronics & Communication 2018 Syllabus
 
Gate 2017 insyllabus
Gate 2017 insyllabusGate 2017 insyllabus
Gate 2017 insyllabus
 
Gate syll
Gate syllGate syll
Gate syll
 

More from Hoopeer Hoopeer

Symica
SymicaSymica
Gene's law
Gene's lawGene's law
Gene's law
Hoopeer Hoopeer
 
Tektronix mdo3104 mixed domain oscilloscope
Tektronix mdo3104 mixed domain oscilloscopeTektronix mdo3104 mixed domain oscilloscope
Tektronix mdo3104 mixed domain oscilloscope
Hoopeer Hoopeer
 
Low power sar ad cs presented by pieter harpe
Low power sar ad cs presented by pieter harpeLow power sar ad cs presented by pieter harpe
Low power sar ad cs presented by pieter harpe
Hoopeer Hoopeer
 
Cadence tutorial lab_2_f16
Cadence tutorial lab_2_f16Cadence tutorial lab_2_f16
Cadence tutorial lab_2_f16
Hoopeer Hoopeer
 
Step by step process of uploading presentation videos
Step by step process of uploading presentation videos Step by step process of uploading presentation videos
Step by step process of uploading presentation videos
Hoopeer Hoopeer
 
233466440 rg-major-project-final-complete upload
233466440 rg-major-project-final-complete upload233466440 rg-major-project-final-complete upload
233466440 rg-major-project-final-complete upload
Hoopeer Hoopeer
 
435601093 s-parameter LTtspice
435601093 s-parameter LTtspice435601093 s-parameter LTtspice
435601093 s-parameter LTtspice
Hoopeer Hoopeer
 
Influential and powerful professional electrical and electronics engineering ...
Influential and powerful professional electrical and electronics engineering ...Influential and powerful professional electrical and electronics engineering ...
Influential and powerful professional electrical and electronics engineering ...
Hoopeer Hoopeer
 
Ki0232 3 stage fm transmitter
Ki0232 3 stage fm transmitterKi0232 3 stage fm transmitter
Ki0232 3 stage fm transmitter
Hoopeer Hoopeer
 
Teager energy operator (teo)
Teager energy operator (teo)Teager energy operator (teo)
Teager energy operator (teo)
Hoopeer Hoopeer
 
Teager energy operator (teo)
Teager energy operator (teo)Teager energy operator (teo)
Teager energy operator (teo)
Hoopeer Hoopeer
 
En physics
En physicsEn physics
En physics
Hoopeer Hoopeer
 
Beautiful lectures
Beautiful lecturesBeautiful lectures
Beautiful lectures
Hoopeer Hoopeer
 
Cadence tutorial lab_2_f16
Cadence tutorial lab_2_f16Cadence tutorial lab_2_f16
Cadence tutorial lab_2_f16
Hoopeer Hoopeer
 
Performance of the classification algorithm
Performance of the classification algorithmPerformance of the classification algorithm
Performance of the classification algorithm
Hoopeer Hoopeer
 
Electronics i ii razavi
Electronics i ii razaviElectronics i ii razavi
Electronics i ii razavi
Hoopeer Hoopeer
 
Bardeen brattain and shockley
Bardeen brattain and shockleyBardeen brattain and shockley
Bardeen brattain and shockley
Hoopeer Hoopeer
 
978 1-4615-6311-2 fm
978 1-4615-6311-2 fm978 1-4615-6311-2 fm
978 1-4615-6311-2 fm
Hoopeer Hoopeer
 
William gilbert strange
William gilbert strangeWilliam gilbert strange
William gilbert strange
Hoopeer Hoopeer
 

More from Hoopeer Hoopeer (20)

Symica
SymicaSymica
Symica
 
Gene's law
Gene's lawGene's law
Gene's law
 
Tektronix mdo3104 mixed domain oscilloscope
Tektronix mdo3104 mixed domain oscilloscopeTektronix mdo3104 mixed domain oscilloscope
Tektronix mdo3104 mixed domain oscilloscope
 
Low power sar ad cs presented by pieter harpe
Low power sar ad cs presented by pieter harpeLow power sar ad cs presented by pieter harpe
Low power sar ad cs presented by pieter harpe
 
Cadence tutorial lab_2_f16
Cadence tutorial lab_2_f16Cadence tutorial lab_2_f16
Cadence tutorial lab_2_f16
 
Step by step process of uploading presentation videos
Step by step process of uploading presentation videos Step by step process of uploading presentation videos
Step by step process of uploading presentation videos
 
233466440 rg-major-project-final-complete upload
233466440 rg-major-project-final-complete upload233466440 rg-major-project-final-complete upload
233466440 rg-major-project-final-complete upload
 
435601093 s-parameter LTtspice
435601093 s-parameter LTtspice435601093 s-parameter LTtspice
435601093 s-parameter LTtspice
 
Influential and powerful professional electrical and electronics engineering ...
Influential and powerful professional electrical and electronics engineering ...Influential and powerful professional electrical and electronics engineering ...
Influential and powerful professional electrical and electronics engineering ...
 
Ki0232 3 stage fm transmitter
Ki0232 3 stage fm transmitterKi0232 3 stage fm transmitter
Ki0232 3 stage fm transmitter
 
Teager energy operator (teo)
Teager energy operator (teo)Teager energy operator (teo)
Teager energy operator (teo)
 
Teager energy operator (teo)
Teager energy operator (teo)Teager energy operator (teo)
Teager energy operator (teo)
 
En physics
En physicsEn physics
En physics
 
Beautiful lectures
Beautiful lecturesBeautiful lectures
Beautiful lectures
 
Cadence tutorial lab_2_f16
Cadence tutorial lab_2_f16Cadence tutorial lab_2_f16
Cadence tutorial lab_2_f16
 
Performance of the classification algorithm
Performance of the classification algorithmPerformance of the classification algorithm
Performance of the classification algorithm
 
Electronics i ii razavi
Electronics i ii razaviElectronics i ii razavi
Electronics i ii razavi
 
Bardeen brattain and shockley
Bardeen brattain and shockleyBardeen brattain and shockley
Bardeen brattain and shockley
 
978 1-4615-6311-2 fm
978 1-4615-6311-2 fm978 1-4615-6311-2 fm
978 1-4615-6311-2 fm
 
William gilbert strange
William gilbert strangeWilliam gilbert strange
William gilbert strange
 

Recently uploaded

Impartiality as per ISO /IEC 17025:2017 Standard
Impartiality as per ISO /IEC 17025:2017 StandardImpartiality as per ISO /IEC 17025:2017 Standard
Impartiality as per ISO /IEC 17025:2017 Standard
MuhammadJazib15
 
This study Examines the Effectiveness of Talent Procurement through the Imple...
This study Examines the Effectiveness of Talent Procurement through the Imple...This study Examines the Effectiveness of Talent Procurement through the Imple...
This study Examines the Effectiveness of Talent Procurement through the Imple...
DharmaBanothu
 
3rd International Conference on Artificial Intelligence Advances (AIAD 2024)
3rd International Conference on Artificial Intelligence Advances (AIAD 2024)3rd International Conference on Artificial Intelligence Advances (AIAD 2024)
3rd International Conference on Artificial Intelligence Advances (AIAD 2024)
GiselleginaGloria
 
OOPS_Lab_Manual - programs using C++ programming language
OOPS_Lab_Manual - programs using C++ programming languageOOPS_Lab_Manual - programs using C++ programming language
OOPS_Lab_Manual - programs using C++ programming language
PreethaV16
 
SENTIMENT ANALYSIS ON PPT AND Project template_.pptx
SENTIMENT ANALYSIS ON PPT AND Project template_.pptxSENTIMENT ANALYSIS ON PPT AND Project template_.pptx
SENTIMENT ANALYSIS ON PPT AND Project template_.pptx
b0754201
 
Accident detection system project report.pdf
Accident detection system project report.pdfAccident detection system project report.pdf
Accident detection system project report.pdf
Kamal Acharya
 
Introduction to Artificial Intelligence.
Introduction to Artificial Intelligence.Introduction to Artificial Intelligence.
Introduction to Artificial Intelligence.
supriyaDicholkar1
 
paper relate Chozhavendhan et al. 2020.pdf
paper relate Chozhavendhan et al. 2020.pdfpaper relate Chozhavendhan et al. 2020.pdf
paper relate Chozhavendhan et al. 2020.pdf
ShurooqTaib
 
Digital Twins Computer Networking Paper Presentation.pptx
Digital Twins Computer Networking Paper Presentation.pptxDigital Twins Computer Networking Paper Presentation.pptx
Digital Twins Computer Networking Paper Presentation.pptx
aryanpankaj78
 
Call For Paper -3rd International Conference on Artificial Intelligence Advan...
Call For Paper -3rd International Conference on Artificial Intelligence Advan...Call For Paper -3rd International Conference on Artificial Intelligence Advan...
Call For Paper -3rd International Conference on Artificial Intelligence Advan...
ijseajournal
 
一比一原版(USF毕业证)旧金山大学毕业证如何办理
一比一原版(USF毕业证)旧金山大学毕业证如何办理一比一原版(USF毕业证)旧金山大学毕业证如何办理
一比一原版(USF毕业证)旧金山大学毕业证如何办理
uqyfuc
 
AN INTRODUCTION OF AI & SEARCHING TECHIQUES
AN INTRODUCTION OF AI & SEARCHING TECHIQUESAN INTRODUCTION OF AI & SEARCHING TECHIQUES
AN INTRODUCTION OF AI & SEARCHING TECHIQUES
drshikhapandey2022
 
Call Girls Chennai +91-8824825030 Vip Call Girls Chennai
Call Girls Chennai +91-8824825030 Vip Call Girls ChennaiCall Girls Chennai +91-8824825030 Vip Call Girls Chennai
Call Girls Chennai +91-8824825030 Vip Call Girls Chennai
paraasingh12 #V08
 
Butterfly Valves Manufacturer (LBF Series).pdf
Butterfly Valves Manufacturer (LBF Series).pdfButterfly Valves Manufacturer (LBF Series).pdf
Butterfly Valves Manufacturer (LBF Series).pdf
Lubi Valves
 
Supermarket Management System Project Report.pdf
Supermarket Management System Project Report.pdfSupermarket Management System Project Report.pdf
Supermarket Management System Project Report.pdf
Kamal Acharya
 
DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...
DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...
DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...
OKORIE1
 
A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...
A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...
A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...
DharmaBanothu
 
ELS: 2.4.1 POWER ELECTRONICS Course objectives: This course will enable stude...
ELS: 2.4.1 POWER ELECTRONICS Course objectives: This course will enable stude...ELS: 2.4.1 POWER ELECTRONICS Course objectives: This course will enable stude...
ELS: 2.4.1 POWER ELECTRONICS Course objectives: This course will enable stude...
Kuvempu University
 
Object Oriented Analysis and Design - OOAD
Object Oriented Analysis and Design - OOADObject Oriented Analysis and Design - OOAD
Object Oriented Analysis and Design - OOAD
PreethaV16
 
SELENIUM CONF -PALLAVI SHARMA - 2024.pdf
SELENIUM CONF -PALLAVI SHARMA - 2024.pdfSELENIUM CONF -PALLAVI SHARMA - 2024.pdf
SELENIUM CONF -PALLAVI SHARMA - 2024.pdf
Pallavi Sharma
 

Recently uploaded (20)

Impartiality as per ISO /IEC 17025:2017 Standard
Impartiality as per ISO /IEC 17025:2017 StandardImpartiality as per ISO /IEC 17025:2017 Standard
Impartiality as per ISO /IEC 17025:2017 Standard
 
This study Examines the Effectiveness of Talent Procurement through the Imple...
This study Examines the Effectiveness of Talent Procurement through the Imple...This study Examines the Effectiveness of Talent Procurement through the Imple...
This study Examines the Effectiveness of Talent Procurement through the Imple...
 
3rd International Conference on Artificial Intelligence Advances (AIAD 2024)
3rd International Conference on Artificial Intelligence Advances (AIAD 2024)3rd International Conference on Artificial Intelligence Advances (AIAD 2024)
3rd International Conference on Artificial Intelligence Advances (AIAD 2024)
 
OOPS_Lab_Manual - programs using C++ programming language
OOPS_Lab_Manual - programs using C++ programming languageOOPS_Lab_Manual - programs using C++ programming language
OOPS_Lab_Manual - programs using C++ programming language
 
SENTIMENT ANALYSIS ON PPT AND Project template_.pptx
SENTIMENT ANALYSIS ON PPT AND Project template_.pptxSENTIMENT ANALYSIS ON PPT AND Project template_.pptx
SENTIMENT ANALYSIS ON PPT AND Project template_.pptx
 
Accident detection system project report.pdf
Accident detection system project report.pdfAccident detection system project report.pdf
Accident detection system project report.pdf
 
Introduction to Artificial Intelligence.
Introduction to Artificial Intelligence.Introduction to Artificial Intelligence.
Introduction to Artificial Intelligence.
 
paper relate Chozhavendhan et al. 2020.pdf
paper relate Chozhavendhan et al. 2020.pdfpaper relate Chozhavendhan et al. 2020.pdf
paper relate Chozhavendhan et al. 2020.pdf
 
Digital Twins Computer Networking Paper Presentation.pptx
Digital Twins Computer Networking Paper Presentation.pptxDigital Twins Computer Networking Paper Presentation.pptx
Digital Twins Computer Networking Paper Presentation.pptx
 
Call For Paper -3rd International Conference on Artificial Intelligence Advan...
Call For Paper -3rd International Conference on Artificial Intelligence Advan...Call For Paper -3rd International Conference on Artificial Intelligence Advan...
Call For Paper -3rd International Conference on Artificial Intelligence Advan...
 
一比一原版(USF毕业证)旧金山大学毕业证如何办理
一比一原版(USF毕业证)旧金山大学毕业证如何办理一比一原版(USF毕业证)旧金山大学毕业证如何办理
一比一原版(USF毕业证)旧金山大学毕业证如何办理
 
AN INTRODUCTION OF AI & SEARCHING TECHIQUES
AN INTRODUCTION OF AI & SEARCHING TECHIQUESAN INTRODUCTION OF AI & SEARCHING TECHIQUES
AN INTRODUCTION OF AI & SEARCHING TECHIQUES
 
Call Girls Chennai +91-8824825030 Vip Call Girls Chennai
Call Girls Chennai +91-8824825030 Vip Call Girls ChennaiCall Girls Chennai +91-8824825030 Vip Call Girls Chennai
Call Girls Chennai +91-8824825030 Vip Call Girls Chennai
 
Butterfly Valves Manufacturer (LBF Series).pdf
Butterfly Valves Manufacturer (LBF Series).pdfButterfly Valves Manufacturer (LBF Series).pdf
Butterfly Valves Manufacturer (LBF Series).pdf
 
Supermarket Management System Project Report.pdf
Supermarket Management System Project Report.pdfSupermarket Management System Project Report.pdf
Supermarket Management System Project Report.pdf
 
DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...
DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...
DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...
 
A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...
A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...
A high-Speed Communication System is based on the Design of a Bi-NoC Router, ...
 
ELS: 2.4.1 POWER ELECTRONICS Course objectives: This course will enable stude...
ELS: 2.4.1 POWER ELECTRONICS Course objectives: This course will enable stude...ELS: 2.4.1 POWER ELECTRONICS Course objectives: This course will enable stude...
ELS: 2.4.1 POWER ELECTRONICS Course objectives: This course will enable stude...
 
Object Oriented Analysis and Design - OOAD
Object Oriented Analysis and Design - OOADObject Oriented Analysis and Design - OOAD
Object Oriented Analysis and Design - OOAD
 
SELENIUM CONF -PALLAVI SHARMA - 2024.pdf
SELENIUM CONF -PALLAVI SHARMA - 2024.pdfSELENIUM CONF -PALLAVI SHARMA - 2024.pdf
SELENIUM CONF -PALLAVI SHARMA - 2024.pdf
 

Ece 552 f2017-syllabus

  • 1. ECE 552 Numerical Circuit Analysis Fall 2017 Instructor: Ibrahim Hajj Web Page http://courses.engr.illinois.edu/ece552/ Official Description Formulation of circuit equations; sparse matrix algorithms for the solution of large systems, AC, DC, and transient analysis of electrical circuits; sensitivity analysis; decomposition methods; reduced-order modeling. Same as CSE 532. Prerequisite: MATH 415 and ECE 210. Topics  Network topology: circuit equation formulation; nodal analysis; modified nodal analysis  Solution of linear circuit equations: LU factorization; relaxation methods  Sparse matrix techniques for circuit equation solution: decomposition techniques  DC solution of nonlinear circuits: fixed-point; Newton's methods; modified Newton's method; relaxation methods; Gauss-Seidel method, piecewise-linear solution techniques  Transient analysis: numerical integration; linear multistep methods; stability; accuracy, step control, companion models; time-domain decomposition methods; relaxation methods; analysis sequencing; latency; timing analysis  Sensitivity analysis: small-change and large-change sensitivities  Reduced-order modeling Text Grading: Midterm 20% Final exam 40% Project 30% HWs 10% I. N. Hajj, Computational Methods in Circuit Simulation. Amazon 2016. References: 1. J. Vlach and K. Singhal, Computer Methods for Circuit Analysis & Design, Van Nostrand Reinhold Co., 2nd ed., 1994. 2. L. T. Pillage, R. A. Rohrer and C. Visweswariah, Electronic and System Simulation Methods, McGraw-Hill, Inc., 1995. 3. Farid Najm, Circuit Simulation, IEEE/John Wiley, 2010 4. J.D. Lambert, Numerical methods for Ordinary Differential Equations, John Wiley, 1991. 5. G. H. Golub and C. F. Van Loan, Matrix Computations, The John Hopkins University Press, 3rd Edition, 1996. 6. Y. Saad, Iterative Methods for Sparse Linear Systems, 2nd Edition, Siam 2003.