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Truncated error correction for flexible approximate multiplication

Michael B. Sullivan, Earl E. Swartzlander
<span title="">2012</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gblbysivz5eqvkfxgh5ofd3xeq" style="color: black;">2012 Conference Record of the Forty Sixth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)</a> </i> &nbsp;
Index Terms-Truncated error correction, approximate binary logarithms, approximate multiplication, computer arithmetic.  ...  Exact logarithmic (and anti-logarithmic) conversion is prohibitively expensive for use in general multipliers; however, inexpensive estimate conversions can be used to perform approximate multiplication  ...  The flexibility and efficiency of truncated error correction may make it an attractive alternative to fixed-point multiplication for application-specific designs.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/acssc.2012.6489023">doi:10.1109/acssc.2012.6489023</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/acssc/SullivanS12.html">dblp:conf/acssc/SullivanS12</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/e7wu7gygvvgkllm4bj3yembji4">fatcat:e7wu7gygvvgkllm4bj3yembji4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20140123092209/http://lph.ece.utexas.edu:80/users/mbsullivan/attachments/papers/mbsullivan_tecmul_2012.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ca/8d/ca8ddc599b38606f2014b6e385516e884a7bbf55.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/acssc.2012.6489023"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

The role of prior knowledge in the development of strategy flexibility: the case of computational estimation

Jon R. Star, Bethany Rittle-Johnson, Kathleen Lynch, Natasha Perova
<span title="2009-05-16">2009</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/k7mg6n6w5ngtxabjno33ytewve" style="color: black;">ZDM: Mathematics Education</a> </i> &nbsp;
The role of prior knowledge and comparison in the development of strategy flexibility: The case of computational estimation.  ...  for 21 x 39 (round both is closer; 86% correct at posttest in Study 1 and Prior knowledge and flexibility 15 72% correct in Study 2) and 31 x 73 (round both and truncation give the same estimate; 96%  ...  This occurs when the error introduced by rounding one number down helps in compensating for the error in the opposite direction introduced by rounding one number up.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11858-009-0181-9">doi:10.1007/s11858-009-0181-9</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tjrlhpo6yzcgbbzeh22265gz3m">fatcat:tjrlhpo6yzcgbbzeh22265gz3m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170815203253/https://dash.harvard.edu/bitstream/handle/1/4889484/CC2CC4%20ZDM%20090304.pdf?sequence=1" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ab/8a/ab8acb8507449a07d59b5d93881938739baa5533.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11858-009-0181-9"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Page 840 of The American Mathematical Monthly Vol. 68, Issue 9 [page]

<span title="">1961</span> <i title="Mathematical Association Of America"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_american-mathematical-monthly" style="color: black;">The American Mathematical Monthly </a> </i> &nbsp;
+ 68:3) for |x| <1, instead of the truncated Maclaurin’s series x? x3 x4 ide nie sasias sites < (2) etna tek ea for |x| $1.  ...  The method is flexible and can give any de- sired accuracy. Numerical analysts have thus been concentrating on approximations char- acterized by small absolute error and few terms.  ... 
<span class="external-identifiers"> </span>
<a target="_blank" rel="noopener" href="https://archive.org/details/sim_american-mathematical-monthly_1961-11_68_9/page/840" title="read fulltext microfilm" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Archive [Microfilm] <div class="menu fulltext-thumbnail"> <img src="https://archive.org/serve/sim_american-mathematical-monthly_1961-11_68_9/__ia_thumb.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a>

Correctly rounded floating-point division for DSP-enabled FPGAs

Bogdan Pasca
<span title="">2012</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/plojvu5mhreuxnue5ey7fivkbi" style="color: black;">22nd International Conference on Field Programmable Logic and Applications (FPL)</a> </i> &nbsp;
In this paper we present two multiplier-based architectures for division which make efficient use of the DSP resources in recent Altera FPGAs.  ...  High-frequency implementations of the classic digitrecurrence algorithms for division have long latencies (of the order of the number fraction bits) and consume large amounts of logic.  ...  For higher precisions one may want to use a less expensive truncated multiplier for the final multiplication: Z = •(1/Y ) P = Z × X Q = trunc(P ) In this case, the approximation error E approx is computed  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/fpl.2012.6339189">doi:10.1109/fpl.2012.6339189</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/fpl/Pasca12.html">dblp:conf/fpl/Pasca12</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/dmvvwom2gzgorosohugpuggz5q">fatcat:dmvvwom2gzgorosohugpuggz5q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20141213003030/http://www.altera.com:80/technology/dsp/floating-point/floating-point-division-for-dsp-fpga.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e9/06/e9064897704de444eec4dd967d7effec80bfdac0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/fpl.2012.6339189"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Experimental implementation of spatial H/sub ∞/ control on a piezoelectric-laminate beam

D. Halim, S.O.R. Moheimani
<span title="">2002</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/56vdvvzi5fai5aigjcxpcegkf4" style="color: black;">IEEE/ASME transactions on mechatronics</a> </i> &nbsp;
A feedthrough term is incorporated into the truncated flexible-structure model to compensate for the neglected dynamics in the finite-dimensional model.  ...  Adding the feedthrough term reduces the uncertainty associated with the truncated model, which is instrumental in ensuring the robustness of the closed-loop system.  ...  Section IV deals with the model correction to compensate for the neglected dynamics in the truncated (finite-dimensional) model.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tmech.2002.802727">doi:10.1109/tmech.2002.802727</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vi6gvnskbzgopcu7tvjwa53ov4">fatcat:vi6gvnskbzgopcu7tvjwa53ov4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20060822085832/http://rumi.newcastle.edu.au/reza/PAPERS/01032415.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/25/a5/25a57e33ba3fb5192a9bc4b5c9d4b74d28a6d64c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tmech.2002.802727"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Design and Implementation of Dual Mode Compressor Based 32 Bitdadda Multiplier using Modified Carry Select Adder

<span title="2020-12-10">2020</span> <i title="Blue Eyes Intelligence Engineering and Sciences Engineering and Sciences Publication - BEIESP"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cj3bm7tgcffurfop7xzswxuks4" style="color: black;">VOLUME-8 ISSUE-10, AUGUST 2019, REGULAR ISSUE</a> </i> &nbsp;
As, multiplication takes more execution time in DSP structures, there is need to develop high pace multipliers.In the approximate mode, those dual compressors offer quickness and decrease current consumptions  ...  on the fee of lower accuracy.Every single compressors has its personal diploma of efficiency interior the approximate mode moreover to one-of-a-kind delays and strength dissipations internal the approximate  ...  Revised Manuscript Received on An approach for reaching this option is to apply an approximate unit alongside a corresponding correction unit.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.35940/ijitee.b7893.129219">doi:10.35940/ijitee.b7893.129219</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fc65aep5ardh7h6wwa6lhplbmu">fatcat:fc65aep5ardh7h6wwa6lhplbmu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220228014044/https://www.ijitee.org/wp-content/uploads/papers/v9i2/B7893129219.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5c/6b/5c6b48dece840657d456ee9571ab769e6f583741.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.35940/ijitee.b7893.129219"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Multipliers for floating-point double precision and beyond on FPGAs

Sebastian Banescu, Florent de Dinechin, Bogdan Pasca, Radu Tudoran
<span title="2011-01-14">2011</span> <i title="Association for Computing Machinery (ACM)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/35q3ync5nbhnjfpylznlz57lyi" style="color: black;">SIGARCH Computer Architecture News</a> </i> &nbsp;
Truncated multipliers, trading resources for a well-controlled accuracy degradation, are useful building blocks in situations where a full multiplier is not needed.  ...  This tiling technique is shown to adapt to full or truncated multipliers.  ...  The error E total has two components, E total = E approx + E round , where E approx is the approximation error introduced by the truncation of the d columns, and E round is the error of rounding the n  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/1926367.1926380">doi:10.1145/1926367.1926380</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cmxllb5vrjfn3p2lzfzhux26vq">fatcat:cmxllb5vrjfn3p2lzfzhux26vq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20140830161038/http://hal.inria.fr/docs/00/53/10/42/PDF/dpbt.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/9e/a1/9ea140a70b892010932a4c435aa9e75960700d91.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/1926367.1926380"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

A flexible, integrated system for generating meteorological surfaces derived from point sources across multiple geographic scales

William M. Jolly, Jonathan M. Graham, Andrew Michaelis, Ramakrishna Nemani, Steven W. Running
<span title="">2005</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/irxlz6wefjcmnddydjot2v3uii" style="color: black;">Environmental Modelling &amp; Software</a> </i> &nbsp;
We demonstrated the system's flexibility by displaying results at 8-km resolution for the continental USA and at one-degree resolution for the globe.  ...  We performed cross-validations for five meteorological variables (solar radiation, minimum and maximum temperatures, humidity, and precipitation) with a truncated Gaussian filter, ordinary kriging and  ...  This corrects for the uneven or clumped distribution of stations commonly found in spatially explicit point data, eliminating the need to cycle through observation data in an effort to estimate local truncation  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.envsoft.2004.05.003">doi:10.1016/j.envsoft.2004.05.003</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/eob7k6cprzcjbgk7rcfno2tbcu">fatcat:eob7k6cprzcjbgk7rcfno2tbcu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20100527144201/http://ecocast.arc.nasa.gov/pubs/pdfs/2005/Jolly_SOGS.PDF" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ca/58/ca5877147802a696762d60df1ce66a9d2d751ced.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.envsoft.2004.05.003"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Design of Bit Slice Processor based on Reconfigurable Approximate Carry Look-Ahead Adder

<span title="2019-09-05">2019</span> <i title="Blue Eyes Intelligence Engineering and Sciences Engineering and Sciences Publication - BEIESP"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cj3bm7tgcffurfop7xzswxuks4" style="color: black;">VOLUME-8 ISSUE-10, AUGUST 2019, REGULAR ISSUE</a> </i> &nbsp;
A special addition mechanism employed in the proposed work consists of both exact and approximate modes of operation suitable for both error tolerant and exact applications.  ...  The error rate is also minimized in the proposed technique by 10% compared to existing designs.  ...  This is achieved by incorporating the correction circuitry with the approximate design [6] . In certain cases additional clock cycle is required for correcting the errors to produce exact output.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.35940/ijitee.j1048.08810s19">doi:10.35940/ijitee.j1048.08810s19</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/u3k57apqajeefewq5m5puzt3ia">fatcat:u3k57apqajeefewq5m5puzt3ia</a> </span>
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A Flexible Architecture for Precise Gamma Correction

Dong-U Lee, Ray C. C. Cheung, John D. Villasenor
<span title="">2007</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/uqbr2omxsbdgtaxslmblka2nnu" style="color: black;">IEEE Transactions on Very Large Scale Integration (vlsi) Systems</a> </i> &nbsp;
We present a flexible hardware architecture for precise gamma correction via piece-wise linear polynomial approximations.  ...  This segmentation method minimizes the number of segments required, while providing an efficient way for indexing the polynomial coefficients.  ...  CONCLUSION A flexible and highly efficient hardware architecture for precise gamma correction via piece-wise linear polynomial approximations has been presented.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tvlsi.2007.893671">doi:10.1109/tvlsi.2007.893671</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ynupng5syfa5lfjisgq3owz5ie">fatcat:ynupng5syfa5lfjisgq3owz5ie</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20100524235427/http://www.ee.ucla.edu:80/~rcheung/papers/tvlsi07_gamma.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/88/55/88552153823caaff81100c3fd6b2669011785e2b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tvlsi.2007.893671"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Spatial ℋ/sub 2/ control of a piezoelectric laminate beam: experimental implementation

D. Halim, S.O.R. Moheimani
<span title="">2002</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/w55uhp5h3rdubpws6c5kic4vxm" style="color: black;">IEEE Transactions on Control Systems Technology</a> </i> &nbsp;
Feedthrough terms are incorporated into the flexible-structure model to correct the locations of the in-bandwidth zeros.  ...  The aim of this paper is to design and experimentally evaluate the performance of a feedback controller to suppress vibration of a flexible beam.  ...  Section IV deals with the model correction to reduce the error in the locations of the in-bandwidth zeros of the model. Section V describes the concept of spatial control for flexible structures.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tcst.2002.1014673">doi:10.1109/tcst.2002.1014673</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kwnqwaxgmbe5hgisgtv5r6se6m">fatcat:kwnqwaxgmbe5hgisgtv5r6se6m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20060822082632/http://rumi.newcastle.edu.au/reza/PAPERS/01014673.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/dc/75/dc753c52d1ab48cb6a5508d904e583aacf6757e4.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tcst.2002.1014673"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Pressure Correction for Solvation Theories [article]

Anton Robert, Sohvi Luukkonen, Maximilien Levesque
<span title="2019-08-30">2019</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Liquid state theories such as integral equations and classical density functional theory often overestimate the bulk pressure of fluids because they require closure relations or truncations of functionals  ...  We show how to correct them simply by computing an optimized Van der Walls volume of the solute and removing the undue free energy to create such volume in the fluid.  ...  In order to discard all possible error compensation effects due to force field and flexibility, for instance, we evaluated the performances of MDFT with respect to MC simulations after introducing a simple  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1908.10720v2">arXiv:1908.10720v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mnepgorkvjaynge7za7qzjta2e">fatcat:mnepgorkvjaynge7za7qzjta2e</a> </span>
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Adaptation strategies for high order discontinuous Galerkin methods based on Tau-estimation

Moritz Kompenhans, Gonzalo Rubio, Esteban Ferrer, Eusebio Valero
<span title="">2016</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/f7kkigxhzjakref5b42jt4uoya" style="color: black;">Journal of Computational Physics</a> </i> &nbsp;
The truncation error is approximated by means of a r-estimation procedure and enables the identification of mesh regions that require adaptation.  ...  In this paper three p-adaptation strategies based on the minimization of the truncation error are presented for high order discontinuous Galerkin methods.  ...  Proof of the quasi-a priori x -estimation formula, Eq. (31) Substituting the definitions of the iteration error, u r.P estimate of the truncation error Eq. (31) and, using Taylor series, we obtain  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcp.2015.11.032">doi:10.1016/j.jcp.2015.11.032</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rbqzflvgfjbozcrsnblamgrri4">fatcat:rbqzflvgfjbozcrsnblamgrri4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20160909161438/http://oa.upm.es/39460/1/INVE_MEM_2016_216962.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/8d/95/8d950e938ef0f4d26ccca17b06c2b3cdc6a15e06.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcp.2015.11.032"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Analysis on Sixth-Order Compact Approximations with Richardson Extrapolation for 2D Poisson Equation

Ruxin Dai, Pengpeng Lin
<span title="">2018</span> <i title="Scientific Research Publishing, Inc,"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wdwqs5h7yrgzvdpgc3pvqnamia" style="color: black;">Journal of Applied Mathematics and Physics</a> </i> &nbsp;
By carefully analyzing the truncation errors respectively on 2D Poisson equation, we compare the accuracy of these three sixth order methods theoretically.  ...  Although assumptions of smoothness and monotone truncation error convergence in the mesh spacing are involved, using Richardson extrapolation to get higher order accurate solutions is more convenient than  ...  h h h i j i j i j i j A h c u u i j = = − = = (6) Then, we could use the correction (6) to approximate corrections for other three subsets of fine grid points, and thus compute sixth order solutions for  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4236/jamp.2018.66097">doi:10.4236/jamp.2018.66097</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hd34fscdwbds7ddq4dwoypj6fe">fatcat:hd34fscdwbds7ddq4dwoypj6fe</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180723114828/http://file.scirp.org/pdf/JAMP_2018060514032349.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c0/53/c053eb5c0b54f83ca49e1e6caf802ad24fd2591a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4236/jamp.2018.66097"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Automatic Vhdl Model Generationof Parameterized Fir Filters [chapter]

John Glossner, E George Walters, Michael Schulte
<span title="2003-11-11">2003</span> <i title="CRC Press"> Signal Processing and Communications </i> &nbsp;
We show that a 22.5 % reduction in area can be achieved for a 24-tap filter with 16-bit coefficients, and that the reduction error SNR is only 2.4 dB less than the roundoff error SNR of the same filter  ...  with no truncation.  ...  When performing truncated multiplication, the constant correction method [9] is used.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1201/9780203913185.ch1">doi:10.1201/9780203913185.ch1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ykmruqwbzjayzo7bqv73zovvfa">fatcat:ykmruqwbzjayzo7bqv73zovvfa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20050517010938/http://www.glossner.org:80/john/papers/samos_2002_book_paper.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/91/8e/918ec3650143503c1051f4c6e9c7fc7143920a20.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1201/9780203913185.ch1"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>
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