Sending report ...Tags: algorithms
Whether you're simulating the electronic structure of a carbon nanotube or the strain within an automobile part, the
calculations usually boil down to a simple matrix equation,
Ax = f. The faster you can fill the
matrix A with the coefficients for your partial
differential equation (PDE), and the faster you can solve for
the vector x given a forcing function f, the faster you have your overall solution. Things get interesting when the matrix A is too large to fit in the memory available on one machine, or when the coefficients in A cause the matrix to be ill-conditioned.
Many different algorithms have been developed to map a PDE onto a matrix, to pre-condition the matrix to a better form, and to solve the matrix with blinding speed. Different algorithms usually exploit some property of the matrix, such as symmetry, to reduce either memory requirements or solution speed or both.
Learn more about algorithms from the many resources on this site, listed below.
Resources
Online Presentations
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10.0 Ranking Liu: Nano-Scale Device Simulations ...
Nano-Scale Device Simulations Using PROPHET
Type Online Presentations Contributor(s) Yang Liu, Robert Dutton, Yang Liu Date 22 Jan. 2006 Avg. Rating (2) Rate this These two lectures are aimed to give a practical guide to the use of a general device simulator (PROPHET) available on nanoHUB. PROPHET is a partial differential equation (PDE) solver that offers users the flexibility of integrating new models and equations for their nano-device simulations. ...
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10.0 Ranking Fisher: Understanding Phonon Dynamics via ...
Understanding Phonon Dynamics via 1D Atomic Chains
Type Online Presentations Contributor(s) Timothy S Fisher Date 28 Aug. 2006 Avg. Rating (0) Rate this Phonons are the principal carriers of thermal energy in semiconductors and insulators, and they serve a vital role in dissipating heat produced by scattered electrons in semiconductor devices. Despite the importance of phonons, rigorous understanding and inclusion of phonon dynamics in simulations ...
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10.0 Ranking Ebert: Is Seeing Believing? How to Think ...
Is Seeing Believing? How to Think Visually and Analyze with Both Your Eyes and Brain
Type Online Presentations Contributor(s) David Ebert Date 26 Mar. 2007 Avg. Rating (1) Rate this In this talk, I will cover the basic techniques for visualization, some of the tools available, and how to NOT miscommunicate information from your visualizations.
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9.8 Ranking Alam: The Long and Short of Pick-up ...
The Long and Short of Pick-up Stick Transistors: A Promising Technology for Nano- and Macro-Electronics
Type Online Presentations Contributor(s) Muhammad A. Alam Date 11 Apr. 2006 Avg. Rating (5) Rate this In recent years, there has been enormous interest in fabricating thin-film transistors on flexible substrates in the emerging field of large-area macro-electronics. Applications include displays, e- paper, e-clothing, pressure-sensitive skin, large-area chemical and biological sensors, flexible ...
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9.8 Ranking Strachan: First Principles-based Atomistic ...
First Principles-based Atomistic and Mesoscale Modeling of Materials
Type Online Presentations Contributor(s) Alejandro Strachan Date 16 Nov. 2005 Avg. Rating (6) Rate this The quantitativelly accurate prediction of materials behavior from first principles requires the chracterization of a wide range of phenomena with disparate temporal and spatial scales form electrons and atoms to devices. No single theory of computational model can capture all these phenomena ...
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9.8 Ranking Liu: Nano-Scale Device Simulations ...
Nano-Scale Device Simulations Using PROPHET-Part I: Basics
Type Online Presentations Contributor(s) Yang Liu, Robert Dutton Date 22 Jan. 2006 Avg. Rating (2) Rate this Part I covers the basics of PROPHET, including the set-up of simulation structures and parameters based on pre-defined PDE systems.
Publications
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9.9 Ranking Wang: Device Physics and Simulation of ...
Device Physics and Simulation of Silicon Nanowire Transistors
Type Publications Contributor(s) Jing Wang Date 20 May. 2006 Avg. Rating (0) Rate this As the conventional silicon metal-oxide-semiconductor field-effect transistor (MOSFET) approaches its scaling limits, many novel device structures are being extensively explored. Among them, the silicon nanowire transistor (SNWT) has attracted broad attention from both the semiconductor industry ...
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9.1 Ranking Rahman: Exploring New Channel Materials ...
Exploring New Channel Materials for Nanoscale CMOS
Type Publications Contributor(s) Anisur Rahman Date 21 May. 2006 Avg. Rating (2) Rate this The improved transport properties of new channel materials, such as Ge and III-V semiconductors, along with new device designs, such as dual gate, tri gate or FinFETs, are expected to enhance the performance of nanoscale CMOS devices. Novel process techniques, such as ALD, high-k dielectrics, and ...
Downloads
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10.0 Ranking Koswatta: MOSCNT: code for carbon nanotube ...
MOSCNT: code for carbon nanotube transistor simulation
Type Downloads Contributor(s) Siyu Koswatta, Dmitri Nikonov Date 15 Nov. 2006 Avg. Rating (0) Rate this Ballistic transport in carbon nanotube metal-oxide-semiconductor field-effect transistors (CNT-MOSFETs) is simulated using the Non-equilibrium Green’s function formalism. A cylindrical transistor geometry with wrapped-around gate and doped source/drain regions are assumed. It should be noted that ...
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8.8 Ranking Datta: MATLAB Scripts for "Quantum ...
MATLAB Scripts for "Quantum Transport: Atom to Transistor"
Type Downloads Contributor(s) Supriyo Datta Date 15 Mar. 2005 Avg. Rating (2) Rate this Tinker with quantum transport models! Download the MATLAB scripts used to demonstrate the physics described in Supriyo Datta's book Quantum Transport: Atom to Transistor. These simple models are less than a page of code, and yet they reproduce much of the fundamental physics observed in experiments.
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8.4 Ranking Gupta: ThrEshold Logic Synthesizer (TELS) ...
ThrEshold Logic Synthesizer (TELS) and Majority Logic Synthezier (MALS)
Type Downloads Contributor(s) Pallav Gupta Date 15 Oct. 2007 Avg. Rating (0) Rate this TELS and MALS are threshold and majority/minority logic synthesis tools that were developed by Rui Zhang and Pallav Gupta under the supervision of Prof. Niraj K. Jha of Princeton University. Dr. Lin Zhong, of Rice University, was also a contributor. Both of these tools have been integrated into ...
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6.4 Ranking Nikonov: recursive algorithm for NEGF in ...
recursive algorithm for NEGF in Matlab
Type Downloads Contributor(s) Dmitri Nikonov Date 13 Nov. 2006 Avg. Rating (0) Rate this This zip-archive contains two Matlab functions for the recursive solution of the partial matrix inversion and partial 3-matrix multiplication used in the non-equilibrium Green’s function (NEGF) method. recuresealg3d.m - works for 3-diagonal matrices recuresealgblock3d.m - works for ...
Workshops
- 10.0 Ranking 2004 Computational Materials ...
Series
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5.7 Ranking Computing Research Institute ...
Computing Research Institute Seminars
Type Series Contributor(s) Date 08 Jan. 2007 Avg. Rating (0) Rate this CRI sponsors a regular seminar series that features local, national and international speakers who are recognized in their fields. CRI seminars cover topics in computational science, computational life science, computer systems technology, and nano-computation.
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