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High accuracy approximation of helices by quintic curves

Xunnian Yang
<span title="">2003</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/d7m3pqsgunbsrmcxdnyqqx2uxm" style="color: black;">Computer Aided Geometric Design</a> </i> &nbsp;
We achieve a high accuracy of the approximation by giving a proper parametrization of the curve, and the approximation order of the height function along the helix axis is 9 provided that the screw angle  ...  In this paper we present methods for approximating a helix segment by quintic Bézier curves or quintic rational Bézier curves based on the geometric Hermite interpolation technique in space.  ...  This work is supported by the state key basic research project (2002CB312101), Natural science foundation of China (60073023) and Education office of Zhejiang province (G20010355).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0167-8396(03)00074-8">doi:10.1016/s0167-8396(03)00074-8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2wrkumc7qncrvluzh4ja7fo5ya">fatcat:2wrkumc7qncrvluzh4ja7fo5ya</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20100216125559/http://www.math.zju.edu.cn:80/yxn/papers/helix.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/09/b1/09b128d6ba45389df93c4363abd4ba354ae4b4ec.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0167-8396(03)00074-8"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

On polynomial approximation of circular arcs and helices

Lizheng Lu
<span title="">2012</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nkrwe4pmozafvnd72yxufztpku" style="color: black;">Computers and Mathematics with Applications</a> </i> &nbsp;
We present a simple method for polynomial approximation of circular arcs and helices by expressing the trigonometric functions using the two-point Taylor expansion.  ...  We obtain the degree-(2n + 1) polynomial for the approximation problem in an efficient way, which is very convenient to increase the degree of polynomial by adding new terms.  ...  And Seemann [10] focused on the rational approximation of degrees 4, 5 and 6. High accuracy approximation by quintic curves was investigated by Yang [11] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.camwa.2011.12.036">doi:10.1016/j.camwa.2011.12.036</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jrhc564txfc2vbcrqa7waavumy">fatcat:jrhc564txfc2vbcrqa7waavumy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171005085458/http://publisher-connector.core.ac.uk/resourcesync/data/elsevier/pdf/f06/aHR0cDovL2FwaS5lbHNldmllci5jb20vY29udGVudC9hcnRpY2xlL3BpaS9zMDg5ODEyMjExMTAxMDkxMQ%3D%3D.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/54/9c/549c31072b327d2664675ba736f10f9a10f76be3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.camwa.2011.12.036"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Geometry of rational helices and its applications [article]

Fatma Şengüler-Çiftçi
<span title="2014-01-27">2014</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
It exploits geometric features of rational helices to obtain a simpler construction of these curves and apply this to related subjects.  ...  One of these applications is Geometric C1 Hermite interpolation (i.e. interpolation of end points with associated unit tangents) by rational helices.  ...  Acknowledgement The author was supported by the Dutch National Science Foundation (NWO) under Grant 435053, the project name is Certified Geometric Approximation (CGA).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1306.3689v2">arXiv:1306.3689v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5flmscdonbapjcqsijlx5iiswu">fatcat:5flmscdonbapjcqsijlx5iiswu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191027015650/https://arxiv.org/pdf/1306.3689v2.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/1c/6e/1c6e335d259562bf4407b8994ae5ba6b1cb482de.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1306.3689v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Stable helical solitons in optical media

Boris A Malomed, G D Peng, P L Chu, Isaac Towers, Alexander V Buryak, Rowland A Sammut
<span title="">2001</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2p4i6z6rpfhwzpwiqtbnkddl3q" style="color: black;">Pramana (Bangalore)</a> </i> &nbsp;
helical mode.  ...  The stability is demonstrated both by direct simulations and by analysis of linearized equations.  ...  Acknowledgements Boris A Malomed acknowledges support from the Binational (US-Israel) Science Foundation and from the School of Electrical Engineering at the University of New South Wales (Sydney).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s12043-001-0014-z">doi:10.1007/s12043-001-0014-z</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cpi3fiqcyfduzmrurlpuqd5wya">fatcat:cpi3fiqcyfduzmrurlpuqd5wya</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170922222907/http://unsworks.unsw.edu.au/fapi/datastream/unsworks:6859/SOURCE1?view=true" 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/2a/26/2a26b2fb75a1cb085f19c3ad320643cac90f1c48.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s12043-001-0014-z"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Surface design with minimum energy networks

Henry Moreton, Carlo Séquin
<span title="">1991</span> <i title="ACM Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/sl7g43a53farbgnszuvagjd5jm" style="color: black;">Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications - SMA &#39;91</a> </i> &nbsp;
We describe a method for free form surface design that uses a mesh formed by networks of curves of minimum energy to define surfaces satisfying position, normal, and curvature constraints.  ...  The two functional are compared and both are shown to result in a high degree of fairness.  ...  Unless a very high degree of accuracy is required, 20 integration points are sufficient to achieve a smooth low energy result.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/112515.112553">doi:10.1145/112515.112553</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/sma/MoretonS91.html">dblp:conf/sma/MoretonS91</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gdfs5qfuvnchtor6m7n4q2q5mi">fatcat:gdfs5qfuvnchtor6m7n4q2q5mi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170922224058/http://mrl.nyu.edu/~elif/thesisprop/MoretonS91.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/cc/75/cc75a2269eb681f8ab78b09809dd05ab75d2fc1b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/112515.112553"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

Elastodynamic analysis of low tension cables using a new curved beam element

Z.H. Zhu, S.A. Meguid
<span title="">2006</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/srgjiohyzbh7de6r3bvnz34vtq" style="color: black;">International Journal of Solids and Structures</a> </i> &nbsp;
Numerical results are presented to demonstrate the superior accuracy and the high convergence rate of the newly developed curved beam element.  ...  The stability and accuracy of the new element are further validated by experiments of an instrumented free-swinging steel cable experiencing slack and low tension.  ...  Numerical results of two-and three-dimensional applications are presented to demonstrate the superior accuracy and the high convergence rate of the newly developed curved beam element compared with the  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ijsolstr.2005.03.053">doi:10.1016/j.ijsolstr.2005.03.053</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tkxbjbzuj5bklk4sgc5pdndhjy">fatcat:tkxbjbzuj5bklk4sgc5pdndhjy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171003034556/http://publisher-connector.core.ac.uk/resourcesync/data/elsevier/pdf/c3a/aHR0cDovL2FwaS5lbHNldmllci5jb20vY29udGVudC9hcnRpY2xlL3BpaS9zMDAyMDc2ODMwNTAwMTY2Ng%3D%3D.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/4b/7d/4b7d50132479044037694585c60f2832ce417396.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ijsolstr.2005.03.053"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Fast-sum method for the elastic field of three-dimensional dislocation ensembles

Nasr M. Ghoniem, L. Z. Sun
<span title="1999-07-01">1999</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gl6rguei5vfpfbkttgvre6hjsu" style="color: black;">Physical Review B (Condensed Matter)</a> </i> &nbsp;
The accuracy of the method is verified by comparison of numerical results to analytical solutions for typical prismatic and slip dislocation loops.  ...  The effect of crystal surfaces on the redistribution of the elastic field is demonstrated by superposition of a finite-element image force field on the computed results. ͓S0163-1829͑99͒02625-9͔  ...  Department of Energy and Office of Fusion Energy  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevb.60.128">doi:10.1103/physrevb.60.128</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wifafr3zind4pmc5flwlo7jika">fatcat:wifafr3zind4pmc5flwlo7jika</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20100802015408/http://osiris.seas.ucla.edu/papers/1995/NG-sun-fast.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/dd/2c/dd2c884c7133293f4355e3ff1e82f7b569af6711.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevb.60.128"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

A Numerical Method for Parallel Particle Motions in Gyrokinetic Vlasov Simulations

Shinya MAEYAMA, Akihiro ISHIZAWA, Tomo-Hiko WATANABE, Noriyoshi NAKAJIMA, Shunji TSUJI-IIO, Hiroaki TSUTSUI
<span title="">2011</span> <i title="Japan Society of Plasma Science and Nuclear Fusion Research"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/6tys6aukffhufobjwzkzf7uwvu" style="color: black;">Plasma and Fusion Research</a> </i> &nbsp;
A study of the accuracy of the parallel motion simulations reveals that numerical errors mainly stem from spatial (not temporal) discretization for realistic values of the grid spacing and time step, and  ...  This novel numerical method is successfully applied to linear gyrokinetic simulations of the ion temperature gradient instability, where time steps larger than those restricted by the CFL condition can  ...  This is crucial to gyrokinetic simulations of the kinetic ballooning mode in high-β plasmas and micro instabilities in helical systems with many ripples.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1585/pfr.6.2401028">doi:10.1585/pfr.6.2401028</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kfzvvzoanzcdjbmywa5zphvodm">fatcat:kfzvvzoanzcdjbmywa5zphvodm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170810091159/http://www.nifs.ac.jp/pfr/2011/pfr2011_06-2401028.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/7d/4f/7d4f4cb4d973ae2eeeeca02e1b0ed43e6c014c37.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1585/pfr.6.2401028"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

A Marker-Based Mean Finite Helical Axis Model to Determine Elbow Rotation Axes and Kinematics in Vivo

Aaron Chin, David Lloyd, Jacqueline Alderson, Bruce Elliott, Peter Mills
<span title="">2010</span> <i title="Human Kinetics"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4jkvhihwvfg3ze6fdk2r7ycyt4" style="color: black;">Journal of Applied Biomechanics</a> </i> &nbsp;
In doing so, errors due to misalignment of axes are minimized providing greater accuracy in kinematic data.  ...  Influence of cross-talk on flexion-extension kinematics in the anatomical model was indicated by strong correlation between flexion-extension and adduction-abduction angles for tasks performed by the subjects  ...  Acknowledgments The authors would like to acknowledge and thank Tony Roby at the School of Sport Science, Exercise and Health, UWA, for his assistance with the design and manufacture of the mechanical  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1123/jab.26.3.305">doi:10.1123/jab.26.3.305</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/m6pxwdnuifaqjl4hy4a3y6ueme">fatcat:m6pxwdnuifaqjl4hy4a3y6ueme</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808100203/http://humankinetics.com/acucustom/sitename/documents/documentitem/08_jab_chin.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/27/fb/27fb082baed604913c1682f981c1c2e47e96b4f5.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1123/jab.26.3.305"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

A Novel Generalization of Trigonometric Bézier Curve and Surface with Shape Parameters and Its Applications

Sidra Maqsood, Muhammad Abbas, Gang Hu, Ahmad Lutfi Amri Ramli, Kenjiro T. Miura
<span title="2020-05-25">2020</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wpareqynwbgqdfodcyhh36aqaq" style="color: black;">Mathematical Problems in Engineering</a> </i> &nbsp;
This analysis shows that the existence of shape parameters brings a convenience to adjust the shape of the curve and surface by simply modifying their values.  ...  These basis functions carry a lot of geometric features of classical Bernstein basis functions and maintain the shape of the curve and surface as well.  ...  Acknowledgments e authors are grateful to the anonymous reviewers for their helpful, valuable comments and suggestions in the improvement of this manuscript. e second author acknowledges the Department  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2020/4036434">doi:10.1155/2020/4036434</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wkdh4k4hbvcm7mvsbbbormsbsm">fatcat:wkdh4k4hbvcm7mvsbbbormsbsm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200526025844/http://downloads.hindawi.com/journals/mpe/2020/4036434.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/d2/a2/d2a26c8a0f31e266391db148f454aed8e20c99d8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2020/4036434"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> hindawi.com </button> </a>

Simulating the quartic Galileon gravity model on adaptively refined meshes

Baojiu Li, Alexandre Barreira, Carlton M Baugh, Wojciech A Hellwing, Kazuya Koyama, Silvia Pascoli, Gong-Bo Zhao
<span title="2013-11-07">2013</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/khdydolemfax3aa6z3uhleeviy" style="color: black;">Journal of Cosmology and Astroparticle Physics</a> </i> &nbsp;
However, the time variation of the effective Newtonian constant caused by the curvature coupling of the Galileon field cannot be suppressed by the Vainshtein mechanism.  ...  This leads to a significant weakening of the strength of gravity in high-density regions at late times, and therefore a weaker matter clustering on small scales.  ...  ACKNOWLEDGMENTS We thank Romain Teyssier for helpful discussions on the details of the RAMSES code. BL is supported by the Royal Astronomical Society and Durham University.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/1475-7516/2013/11/012">doi:10.1088/1475-7516/2013/11/012</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4gdtqcxi5rempkdpj3gq4yuieu">fatcat:4gdtqcxi5rempkdpj3gq4yuieu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171203183259/https://core.ac.uk/download/pdf/42123473.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/63/c1/63c1af27c4a0c74212e188378458d62614a70adc.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/1475-7516/2013/11/012"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> iop.org </button> </a>

Black holes and large order quantum geometry

Min-xin Huang, Albrecht Klemm, Marcos Mariño, Alireza Tavanfar
<span title="2009-03-02">2009</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/chloqzh6grayjgjxdzjq5ktthu" style="color: black;">Physical Review D</a> </i> &nbsp;
We also study analytically small 5d black holes obtained by wrapping M2 branes in the fiber of K3 fibrations.  ...  We study five-dimensional black holes obtained by compactifying M theory on Calabi-Yau threefolds.  ...  This work is partially supported by DOE Grant No. DE-F602-95ER40896. A. T. is supported by a Marie Curie fellowship. APPENDIX: GENERAL FEATURES OF THE INSTANTON EXPANSION  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevd.79.066001">doi:10.1103/physrevd.79.066001</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/s3bkervz65fz3h34bp7yz3m6ra">fatcat:s3bkervz65fz3h34bp7yz3m6ra</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180719012139/http://cds.cern.ch/record/1030781/files/GetPDFServlet1.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/0f/4e/0f4e72d0deaee974be2090e69a6d3afd3ca153cd.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevd.79.066001"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Testing general scalar-tensor gravity and massive gravity with cluster lensing

Tatsuya Narikawa, Tsutomu Kobayashi, Daisuke Yamauchi, Ryo Saito
<span title="2013-06-10">2013</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/chloqzh6grayjgjxdzjq5ktthu" style="color: black;">Physical Review D</a> </i> &nbsp;
It is found that the essential structure of the problem in the most general case can be captured by the program of classifying Vainshtein solutions out of different solutions to a quintic equation, as  ...  We explore the possibility of testing modified gravity exhibiting the Vainshtein mechanism against observations of cluster lensing.  ...  T.N. and R.S. are supported by the JSPS under Contact Nos. 23-7136, and 23-3430.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevd.87.124006">doi:10.1103/physrevd.87.124006</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2q73lu6635hmdouriumtfmvtpq">fatcat:2q73lu6635hmdouriumtfmvtpq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191020090046/https://arxiv.org/pdf/1302.2311v1.pdf" title="fulltext PDF download [not primary version]" 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] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/4e/5a/4e5adf3e58dae743d8f95dcf3d45bf778b2f93ae.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevd.87.124006"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Survey and analysis of multiresolution methods for turbulence data

Jesus Pulido, Daniel Livescu, Jonathan Woodring, James Ahrens, Bernd Hamann
<span title="">2016</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wp3g5bo4ojczdinvl7cavuwkq4" style="color: black;">Computers &amp; Fluids</a> </i> &nbsp;
quintic (6th degree).  ...  The comparisons between the algorithms are given in terms of performance, accuracy, and compression properties.  ...  Two Gaussian signals matching the variances of the curvelet and B-spline wavelet results are plotted. 565 approximate curved variations by a staircase-like variation, the rest of the wavelet methods  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.compfluid.2015.11.001">doi:10.1016/j.compfluid.2015.11.001</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/b42mlzxx5vhmdi3gsznbda3r2y">fatcat:b42mlzxx5vhmdi3gsznbda3r2y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170813015416/http://graphics.idav.ucdavis.edu/~hamann/PulidoLivescuWoodringAhrensHamannComputersAndFluidsPaperRevisionAsSubmitted09112015.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/de/f5/def50a0aa4683d6559db253d4399d74303681d72.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.compfluid.2015.11.001"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Computation of multi-region relaxed magnetohydrodynamic equilibria

S. R. Hudson, R. L. Dewar, G. Dennis, M. J. Hole, M. McGann, G. von Nessi, S. Lazerson
<span title="">2012</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cm7vi2l5hbhjxp576tna7uqxju" style="color: black;">Physics of Plasmas</a> </i> &nbsp;
We describe the construction of stepped-pressure equilibria as extrema of a multi-region, relaxed magnetohydrodynamic (MHD) energy functional that combines elements of ideal MHD and Taylor relaxation,  ...  The authors gratefully acknowledge support of the U.S. Department of Energy and the Australian Research Council, through Grants DP0452728, FT0991899, and DP110102881.  ...  One of us (S.R.H.) acknowledges stimulating discussions with Neil Pomphrey, with Don Monticello regarding the construction of straight-field-line coordinates, and with Allen Boozer regarding the choice  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.4765691">doi:10.1063/1.4765691</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/u5rfu5qvrrgyrarhlz2m7t2hze">fatcat:u5rfu5qvrrgyrarhlz2m7t2hze</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170125032225/http://w3.pppl.gov/~shudson/Papers/Published/2012HDDHMcGvNL.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/98/6f/986f07bd22fca5090800d2e55a783b495ae890d4.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.4765691"> <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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