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Quantum annealing speedup of embedded problems via suppression of Griffiths singularities [article]

Sergey Knysh, Eugeniu Plamadeala, Davide Venturelli
<span title="2020-06-23">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Dramatic reduction in time-to-solution for QA is confirmed by numerics, for which we developed a custom integrator to overcome convergence issues.  ...  Embedding chains typically crop up as harmful Griffiths phases, but can be used as a resource as we show here: to balance out singularities in the logical problem changing its universality class.  ...  (B4) We need to subtract the matrix I since annihilation operators should always appear before the creation operators in the expectation values, but b k and b † k do not anticommute.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2006.12731v1">arXiv:2006.12731v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/m4frjijpyraubdujm6773z22fu">fatcat:m4frjijpyraubdujm6773z22fu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200707230621/https://arxiv.org/pdf/2006.12731v1.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/92/5e/925e526fd5158dcf53a5acbeac7b2d687d65e2f3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2006.12731v1" 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>

Operator approach in nonlinear stochastic open quantum physics [article]

Sina Khorasani
<span title="2019-08-14">2019</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Many different applications of this method in quantum and classically nonlinear systems are demonstrated throughout.  ...  The success of quantum physics in description of various physical interaction phenomena relies primarily on the accuracy of analytical methods used.  ...  (VCQ) in University of Vienna for encouragement and hosting this research during its initial development.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1908.05189v1">arXiv:1908.05189v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/etyjia7ptnbtfd5t6rrjho5soa">fatcat:etyjia7ptnbtfd5t6rrjho5soa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200831041022/https://arxiv.org/pdf/1908.05189v1.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/15/b8/15b800531a903db8779607507cc1c579d3846462.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1908.05189v1" 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>

Efficient Calculation of Jackknife Confidence Intervals for Rank Statistics

Roger Newson
<span title="">2006</span> <i title="Foundation for Open Access Statistic"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/yr3cv2yayvhvdcoj6lb4qw36kq" style="color: black;">Journal of Statistical Software</a> </i> &nbsp;
A Stata package is introduced for calculating confidence intervals for these rank statistics using this algorithm, which has been implemented in the Mata compilable matrix programming language supplied  ...  An algorithm is presented for calculating concordance-discordance totals in a time of order N log N , where N is the number of observations, using a balanced binary search tree.  ...  In both cases, we take advantage of the fact that, for each index j of the main data matrix, there exists a path (h 1 , . . . , h M ) of indices of the tree matrix, such that h 1 is the central root index  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.18637/jss.v015.i01">doi:10.18637/jss.v015.i01</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2kewb5wxnjbwrgykxxiyptl7kq">fatcat:2kewb5wxnjbwrgykxxiyptl7kq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20140426103727/http://www.jstatsoft.org:80/v15/i01/paper?" 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/6d/9c/6d9c82ef593c9d484fea8bac7fef4b1a7ea8df44.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.18637/jss.v015.i01"> <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>

Fast, scalable master equation solution algorithms. III. Direct time propagation accelerated by a diffusion approximation preconditioned iterative solver

Terry J. Frankcombe, Sean C. Smith
<span title="2003-12-22">2003</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hnc5ddfunnd3taca63uf5ggldm" style="color: black;">Journal of Chemical Physics</a> </i> &nbsp;
In this paper we propose a novel fast and linearly scalable method for solving master equations arising in the context of gas-phase reactive systems, based on an existent stiff ordinary differential equation  ...  In this way we avoid the cubic scaling of traditional master equation solution methods and maintain the low temperature robustness of numerical integration.  ...  Total population profiles for the five species involved in the 1 CH 2 ϩC 2 H 2 reaction at 1200 K and 1000 Torr.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.1628213">doi:10.1063/1.1628213</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wb3saq673jg6bhitx3ubxkem64">fatcat:wb3saq673jg6bhitx3ubxkem64</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20160725110830/https://digitalcollections.anu.edu.au/bitstream/1885/16455/1/01_Frankcombe_Fast%2C_scalable_master_equation_2003.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/d5/78/d578f79e1ab625d91437d66da2514ab13dc1ef32.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.1628213"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Correction factors for boundary diffusion in reaction-diffusion master equations

Andre Leier, Tatiana T. Marquez-Lago
<span title="2011-10-07">2011</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hnc5ddfunnd3taca63uf5ggldm" style="color: black;">Journal of Chemical Physics</a> </i> &nbsp;
Lanczos iteration with diffusion approximation preconditioned iterative inversion In this paper we propose a novel fast and linearly scalable method for solving master equations arising in the context  ...  In this way we avoid the cubic scaling of traditional master equation solution methods and maintain the low temperature robustness of numerical integration.  ...  Total population profiles for the five species involved in the 1 CH 2 ϩC 2 H 2 reaction at 1200 K and 1000 Torr.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.3634003">doi:10.1063/1.3634003</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/21992284">pmid:21992284</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3evwfatl2jcbbhjj3bex5m5ece">fatcat:3evwfatl2jcbbhjj3bex5m5ece</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180725234738/https://espace.library.uq.edu.au/data/UQ_65251/UQ65251_OA.pdf?Expires=1532643895&amp;Signature=d0xBLho87vbaJHpRyamF91FuC~lzH5YnjZldNkkEhs1GlhyMhePlJRIJrA9aNBACvUNSn4DQXZWSo-sSeCuqutVcNUKbdW-mBxH3t79COc0GSFXUh6Pp1Lg1juTmxe-BLPHQ96qY0IaTeyPqTHKcMF69LII0KFnZNpRZv08VTFmjM23OhGfX44eMDEIGBzzxnPLaQe~jvUm8Lga7Nfith59ANwkBab5Jm9ATnjzLgESfuba7HRqm1JgZ7OHA9XkJJ0bXGiytedoFO3SeiE4D~z~N7EhQDfQUNCZH~GEs9KKwElqnKOpRULyDrRgMlRJoesDoNCOTqKBi~Bdhrv6XgQ__&amp;Key-Pair-Id=APKAJKNBJ4MJBJNC6NLQ" 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/f9/2af9b111846fe01ffcebf9d26f61541dcca62513.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.3634003"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

A NUMERICAL STUDY OF HIERARCHICAL MATRIX (H-MATRIX) FOR FINITE POINT SET METHOD (FPM) ON SOLVING A POISSON PROBLEM

S. Gedela, S. Sundar
<span title="2013-02-22">2013</span> <i title="Academic Publications"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/lurlqwgxknblndpu5albu3dwpe" style="color: black;">International Journal of Applied Mathematics</a> </i> &nbsp;
A class of matrices called H-matrices is used to approximate large matrices of grid based methods. H-matrix arithmetic has linear-logarithmic complexity for some special grids.  ...  In this paper, we present a study on Hmatrix for a large sparse un-patterned system arising from a grid free method called finite pointset method applied on a Poisson problem with mixed boundary conditions  ...  [11] have studied H-matrix methods for linear and quasi-linear integral operators appearing in population balances and obtained linear complexity for matrix arithmetic.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.12732/ijam.v26i1.10">doi:10.12732/ijam.v26i1.10</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5beh2a33tna6dpooqpthkypbb4">fatcat:5beh2a33tna6dpooqpthkypbb4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170829050849/http://www.diogenes.bg/ijam/contents/2013-26-1/10/10.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/cb/ce/cbce52e7cc79226ae858fd49afe5bfa998ee110c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.12732/ijam.v26i1.10"> <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>

A new time-finite-element implicit integration scheme for multibody system dynamics simulation

Mojtaba Oghbaei, Kurt S. Anderson
<span title="">2006</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gctv3v6plrgwthusala4ydxxeq" style="color: black;">Computer Methods in Applied Mechanics and Engineering</a> </i> &nbsp;
Such methods solve for the system equations of motion in a point-wise fashion, namely solving for unknown function values at the integration step boundary, and possibly at predetermined interior points  ...  In this work, the weak form for rigid body dynamics was derived using the linear and angular momentum balance which was shown to be correspondent to the well-known HamiltonÕs weak principle.  ...  John Evans, one of URP students in the research group, who has contributed for some test cases.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.cma.2005.04.016">doi:10.1016/j.cma.2005.04.016</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/uciltejzrveatddd5vg7mp5xte">fatcat:uciltejzrveatddd5vg7mp5xte</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20070306204215/http://www.rpi.edu:80/~anderk5/papers/ImplicitIntegration.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/72/a3/72a32e4c328dd6243ee751f7eac8b99b15048b5a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.cma.2005.04.016"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

The ABC-DA system (v1.4): a variational data assimilation system for convective-scale assimilation research with a study of the impact of a balance constraint

Ross Noel Bannister
<span title="2020-08-27">2020</span> <i title="Copernicus GmbH"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/rqk7miszmbcxtcrxk7hjwolghq" style="color: black;">Geoscientific Model Development</a> </i> &nbsp;
Observation operators for direct observations and wind speeds are part of the current system, and these can, for example, be expanded relatively easily to include operators for Doppler winds.  ...  The purpose of ABC-DA is to permit quick and efficient research into data assimilation methods suitable for convective-scale systems.  ...  The author is grateful to two anonymous referees and Pierre Gauthier for constructive comments on a previous version of this paper. Financial support.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5194/gmd-13-3789-2020">doi:10.5194/gmd-13-3789-2020</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/37o5nxmi5bbexoynstvp4swqb4">fatcat:37o5nxmi5bbexoynstvp4swqb4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200829131806/https://gmd.copernicus.org/articles/13/3789/2020/gmd-13-3789-2020.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/38/62/386215410aef3553fc8fd52e0128b1ccec0c0afc.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5194/gmd-13-3789-2020"> <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>

WavePacket: A Matlab package for numerical quantum dynamics.II: Open quantum systems, optimal control, and model reduction

Burkhard Schmidt, Carsten Hartmann
<span title="">2018</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wfenstutwram7ghf2w6rgf5gyu" style="color: black;">Computer Physics Communications</a> </i> &nbsp;
This part also describes the WavePacket function for optimal control of quantum dynamics, building on rapid monotonically convergent iteration methods.  ...  WavePacket is an open-source program package for numeric simulations in quantum dynamics.  ...  In the third line, the SRBT balancing method has been chosen, see above.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.cpc.2018.02.022">doi:10.1016/j.cpc.2018.02.022</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/izwjf2mp6jcahiv3cmgyist4om">fatcat:izwjf2mp6jcahiv3cmgyist4om</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200915165051/https://arxiv.org/pdf/1707.06077v1.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/e4/ff/e4ffe5e18d817afa37d5607caa84788ff64aa21f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.cpc.2018.02.022"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Add-ons for Lattice Boltzmann Methods: Regularization, Filtering and Limiters [chapter]

Robert A. Brownlee, Jeremy Levesley, David Packwood, Alexander N. Gorban
<span title="2013-06-14">2013</span> <i title="BENTHAM SCIENCE PUBLISHERS"> Progress in Computational Physics Volume 3: Novel Trends in Lattice-Boltzmann Methods </i> &nbsp;
We describe how regularization of lattice Boltzmann methods can be achieved by modifying dissipation.  ...  Classes of techniques used to try to improve regularization of LBMs include flux limiters, enforcing the exact correct production of entropy and manipulating non-hydrodynamic modes of the system in relaxation  ...  Once in moment space we can apply a diagonal relaxation matrix C 1 to the populations and then the inverse moment transformation matrix M −1 1 to switch back into population space, altogether A 1 = M −  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2174/9781608057160113030005">doi:10.2174/9781608057160113030005</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fw5ly7ut4zal7lchfmg2d5cx5e">fatcat:fw5ly7ut4zal7lchfmg2d5cx5e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170922215959/http://www.math.le.ac.uk/people/ag153/homepage/AddOnsProgrCompPhys2013.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/ba/f1/baf175e73e301048721db3e42c4ae61edd9bf52d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2174/9781608057160113030005"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Spin relaxation in a one-dimensional large-spin degenerate Fermi gas [article]

Ulrich Ebling, André Eckardt
<span title="2016-12-12">2016</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
This means, that in the 1D case, incoherent collisions become more important at lower densities. We study these effects by deriving and integrating a quantum Boltzmann equation.  ...  In this work, we study the dynamics of an atomic harmonically trapped large-spin Fermi gas in one dimension (1D). We investigate the interplay of different collision processes.  ...  (A30) momentum conservation in the presence of a quadratic Zeeman effect appears as e. g.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1612.02618v2">arXiv:1612.02618v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rtxntesizrgcfjzkwlznnxxt2a">fatcat:rtxntesizrgcfjzkwlznnxxt2a</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200831212925/https://arxiv.org/pdf/1612.02618v2.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/6e/b3/6eb3571b9715324d2e0ecdb6b436590b182eb03c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1612.02618v2" 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>

Spectra of random stochastic matrices and relaxation in complex systems

Reimer Kühn
<span title="2015-03-01">2015</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/g5hwjttblnfj5hbaytqsfuuwtm" style="color: black;">Europhysics letters</a> </i> &nbsp;
a detailed balance condition.  ...  We compute spectra of such matrices both in the thermodynamic limit, and for single large instances.  ...  W (λ) = N i=1 du i 2π/i exp −iH W (λ ε , u) (4) defined in terms of the quadratic form H W (λ ε , u) = 1 2 i,j λ ε δ ij − W ij u i u j , (5) with λ ε = λ − iε.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1209/0295-5075/109/60003">doi:10.1209/0295-5075/109/60003</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qffsdvwbenewnkkkrftcytgyke">fatcat:qffsdvwbenewnkkkrftcytgyke</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200309192919/https://kclpure.kcl.ac.uk/ws/files/51215252/epl_109_6_60003.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/62/48/62488c6d2e2271cdc036f99c17c3561def9b9467.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1209/0295-5075/109/60003"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

A fast method for solving both the time-dependent Schrödinger equation in angular coordinates and its associated "m-mixing" problem

Matthew G. Reuter, Mark A. Ratner, Tamar Seideman
<span title="">2009</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hnc5ddfunnd3taca63uf5ggldm" style="color: black;">Journal of Chemical Physics</a> </i> &nbsp;
the need for both kinetic and potential energy matrix elements.  ...  An efficient split-operator technique for solving the time-dependent Schrödinger equation in an angular coordinate system is presented, where a fast spherical harmonics transform accelerates the conversions  ...  FMM is an approximate, although arbitrarily accurate, method to compute matrix-vector products of the form v j = ͚ k u k K͑x k − y j ͒ ͑ 8͒ in linear time, as opposed to quadratic time needed for general  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.3213436">doi:10.1063/1.3213436</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/19739850">pmid:19739850</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/e7czwo6orrbexjtrbu7hsy3d6m">fatcat:e7czwo6orrbexjtrbu7hsy3d6m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190226195051/http://pdfs.semanticscholar.org/7233/c5806308034958947d6848a286d404b7e8d3.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/72/33/7233c5806308034958947d6848a286d404b7e8d3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.3213436"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Multivariate Analysis of Incomplete Mapped Data

Stephane Dray, Nathalie Pettorelli, Daniel Chessel
<span title="">2003</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gptxt6ipcfbfxptodcjwkm56di" style="color: black;">Transactions on GIS</a> </i> &nbsp;
We illustrate the method in analysing data concerning the distribution of roe deer weights over several years in a reserve.  ...  Classical multivariate analyses are based on matrix algebra and enable the analysis of a table containing measurements of a set of variables for a set of sites.  ...  Acknowledgments We thank the Office National de la Chasse for allowing us to use these data.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1111/1467-9671.00153">doi:10.1111/1467-9671.00153</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fkzbct2g7ve63fbyg3z6wqcs2m">fatcat:fkzbct2g7ve63fbyg3z6wqcs2m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809194711/http://pbil.univ-lyon1.fr/members/dray/files/articles/dray2003b.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/58/23/5823fb3bb31bc626816d4b7f414a87444868a80f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1111/1467-9671.00153"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Parametrized classifiers for optimal EFT sensitivity

Siyu Chen, Alfredo Glioti, Giuliano Panico, Andrea Wulzer
<span title="">2021</span> <i title="Springer Science and Business Media LLC"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/f77v2fl37rdyrodjisfjo6jbee" style="color: black;">Journal of High Energy Physics</a> </i> &nbsp;
The most effective method is found to be the "Quadratic Classifier" approach, an improvement of the standard Statistical Learning classifier where the quadratic dependence of the differential cross section  ...  As expected, the gain is particularly significant for those operators that display a complex pattern of interference with the Standard Model amplitude.  ...  For the Quadratic Classifier (and for the Matrix Element Method), the first step is not needed.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/jhep05(2021)247">doi:10.1007/jhep05(2021)247</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/iuoiv4lyf5fqzkec3u4mwxmeqm">fatcat:iuoiv4lyf5fqzkec3u4mwxmeqm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210717193301/https://link.springer.com/content/pdf/10.1007/JHEP05(2021)247.pdf?error=cookies_not_supported&amp;code=7f4d391f-a5ae-4f6a-9422-55fef2f088fd" 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/81/45/81458bc76ff208835f0ca4d5701c7dc6f06e7f75.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/jhep05(2021)247"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> springer.com </button> </a>
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