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1st Flow Control Conference 2002

作者： Burns, J.A. Kingy, B.B. Zietsmanz, L. Interdisciplinary Center for Applied Mathematics Department of Mathematics Virginia Tech Blacksburg VA 24061 United States

ISBN: (纸本)9781624101052

In this paper we consider numerical algorithms for computing functional gains that de fine optimal feedback laws for Dirichlet boundary control of parabolic equations. The focus here is on using non-uniform meshes to improve convergence of finite element schemes. Since boundary control problems of this type often lead to functional gains that become "singular" near the boundary, uniform meshes are not optimal. Numerical examples are presented to illustrate the effectiveness of using a non-uniform mesh to approximate functional gains. © 2002 by the author(s). Published by the American Institute of Aeronautics and Astronautics, Inc.

关键词： Quadratic programming

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Business confidence in the shift to renewable energy: A country-specific assessment in major Asian economies

Journal of Economy and Technology

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Journal of Economy and Technology 2025年 3卷 44-68页

作者： Irsan Hardi Ghalieb Mutig Idroes Yoshihiro Hamaguchi Muhlis Can Teuku Rizky Noviandy Rinaldi Idroes Department of Economics Faculty of Economics and Business Universitas Syiah Kuala Banda Aceh Indonesia Economic Modeling and Data Analytics Unit Graha Primera Saintifika Aceh Besar Indonesia Energy and Green Economics Unit Graha Primera Saintifika Aceh Besar Indonesia Department of Economics Faculty of Economics and Business Administration Kyoto University of Advanced Science Kyoto Japan Social Science Research Lab BETA Akademi Istanbul Turkey Interdisciplinary Innovation Research Unit Graha Primera Saintifika Aceh Besar 23371 Indonesia School of Mathematics and Applied Sciences Universitas Syiah Kuala Banda Aceh 23111 Indonesia

The growing awareness of the importance of transitioning to sustainable energy sources emphasizes the necessity of fostering business optimism toward renewable energy, as businesses wield significant influence in driving innovation and scaling up renewable energy deployment. Therefore, this study investigates the impact of business confidence on long-term renewable energy generation in selected major Asian economies: China, Japan, South Korea, Indonesia, and Turkey. Through country-specific assessments, we utilized three methods capable of yielding long-term empirical results: Fully-Modified OLS (FMOLS), Dynamic OLS (DOLS), and Canonical Cointegrating Regressions (CCR). The study also conducted a robustness check by utilizing the Robust Least Squares (RLS) method, preceded by multiple preliminary tests, to ensure the validity and reliability of the results. The findings show that businesses in all selected countries exhibit confidence toward long-term renewable energy. However, there are variations in the confidence level, with businesses in Japan, South Korea, and Turkey demonstrating high confidence while those in China and Indonesia show low confidence. The study also found a trade-off between business confidence levels and energy consumption. In Japan, South Korea, and Turkey, high business confidence correlates with a negative impact of energy consumption, while in Indonesia, low business confidence is aligned with a positive effect of energy consumption on renewable energy. This suggests that business confidence and energy consumption dynamics influence renewable energy development. Policy recommendations tailored to each of the selected countries are provided to address these findings, aiming to enhance business trust and optimism in renewable energy within major Asian economies.

关键词： Renewable Energy Business Confidence China Japan South Korea Indonesia Turkey

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Mathematical modeling of hyphal tip growth

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Fungal Biology Reviews 2008年第2期22卷 77-83页

作者： Goriely, Alain Tabor, Michael Program in Applied Mathematics Department of Mathematics University of Arizona Tucson AZ 85721 Building #89 United States

The mathematical modelling of growing filamentous cells has been approached in a variety of ways ranging from simple geometric to biomechanically based models using exact, nonlinear, elasticity theory for shells and membranes in which a growth mechanism is included, and alternative approaches using visco-plasticity theory. We describe how the nonlinear elastic model is able to capture essential biomechanical mechanical features of the growth of a broad array of filamentous cells including fungi, actinomycetes, pollen tubes, and root hairs. A comparison between this approach and visco-plasticity based models is made. © 2008 The British Mycological Society.

关键词： hyphal tip growth biomechanical growth features membranes elasticity theory shells elasticity theory shelling Hyphal tips Mechanical properties terminal interface processor mathematical modeling Hair Root Pollen Tube Viscoplastic properties elastic models

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Principal Curvatures Estimation with Applications to Single Cell Data

Principal Curvatures Estimation with Applications to Single ...

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International Conference on Acoustics, Speech, and Signal Processing (ICASSP)

作者： Yanlei Zhang Lydia Mezrag Xingzhi Sun Charles Xu Kincaid Macdonald Dhananjay Bhaskar Smita Krishnaswamy Guy Wolf Bastian Rieck Dept. of Math. & Stat. Université de Montréal Mila – Quebec AI Institute Montréal CA Dept. of Comp. Sci. Yale University Dept. of Genetics Applied Mathematics Program New Haven CT USA Helmholtz Zentrum München Institute of AI for Health Munich BY DE Department of Informatics Université de Fribourg Fribourg CH

ISBN: (数字)9798350368741

ISBN: (纸本)9798350368758

The rapidly growing field of single-cell transcriptomic sequencing (scRNAseq) presents challenges for data analysis due to its massive datasets. A common method in manifold learning consists in hypothesizing that datasets lie on a lower dimensional manifold. This allows to study the geometry of point clouds by extracting meaningful descriptors like curvature. In this work, we will present Adaptive Local PCA (AdaL-PCA), a data-driven method for accurately estimating various notions of intrinsic curvature on data manifolds, in particular principal curvatures for surfaces. The model relies on local PCA to estimate the tangent spaces. The evaluation of AdaL-PCA on sampled surfaces shows state-of-the-art results. Combined with a PHATE embedding, the model applied to single-cell RNA sequencing data allows us to identify key variations in the cellular differentiation.

关键词： Manifolds Sequential analysis Adaptation models Data analysis RNA Transcriptomics Curve fitting Speech processing Tuning Principal component analysis

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A Simple Framework of Conservative Algorithms for the Coupled Nonlinear Schrdinger Equations with Multiply Components

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Communications in Theoretical Physics 2014年第6期61卷 703-709页

作者：钱旭宋松和李伟斌 Department of Mathematics and Systems Science National University of Defense Technology Program in Applied and Computational Mathematics Princeton University State Key Laboratory of High Performance Computing National University of Defense Technology

Considering the coupled nonlinear Schr¨odinger system with multiply components, we provide a novel framework for constructing energy-preserving algorithms. In detail, based on the high order compact finite difference method, Fourier pseudospectral method and wavelet collocation method for spatial discretizations, a series of high accurate conservative algorithms are presented. The proposed algorithms can preserve the corresponding discrete charge and energy conservation laws exactly, which would guarantee their numerical stabilities during long time ***, several analogous multi-symplectic algorithms are constructed as comparison. Numerical experiments for the unstable plane waves will show the advantages of the proposed algorithms over long time and verify the theoretical analysis.

关键词： conservative algorithm coupled nonlinear SchrSdinger equation multiply components unstablewave

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Hölder regularity for stochastic processes with bounded and measurable increments

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Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire 2023年第1期40卷 215-258页

作者： Arroyo, Ángel Blanc, Pablo Parviainen, Mikko MOMAT Research Group Interdisciplinary Mathematics Institute Department of Applied Mathematics and Mathematical Analysis Universidad Complutense de Madrid Madrid28040 Spain Department of Mathematics and Statistics University of Jyväskylä PO Box 35 Jyväskylä40014 Finland

We obtain an asymptotic Hölder estimate for expectations of a quite general class of discrete stochastic processes. Such expectations can also be described as solutions to a dynamic programming principle or as solutions to discretized PDEs. The result, which is also generalized to functions satisfying Pucci-type inequalities for discrete extremal operators, is a counterpart to the Krylov–Safonov regularity result in PDEs. However, the discrete step size " has some crucial effects compared to the PDE setting. The proof combines analytic and probabilistic arguments. © 2022 Association Publications de l’Institut Henri Poincaré Published by EMS Press.

关键词： Random processes

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NONOSCILLATORY SPECTRAL ELEMENT CHEBYSHEV METHOD FOR SHOCK-WAVE CALCULATIONS

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JOURNAL OF COMPUTATIONAL PHYSICS 1993年第1期107卷 10-22页

作者： SIDILKOVER, D KARNIADAKIS, GE Department of Mechanical and Aerospace Engineering Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544

A new algorithm based on spectral element discretization and non-oscillatory ideas is developed for the solution of hyperbolic partial differential equations. A conservative formulation is proposed based on cell averaging and reconstruction procedures, that employs a staggered grid of Gauss-Chebyshev and Gauss-Lobatto Chebyshev discretizations. The non-oscillatory reconstruction procedure is based on ideas similar to those proposed by Cai et al. (Math. Comput. 52, 389 (1989)) but employs a modified technique which is more robust and simpler in terms of determining the location and strength of a discontinuity. It is demonstrated through model problems of linear advection, inviscid Burgers equation, and one-dimensional Euler system that the proposed algorithm leads to stable, non-oscillatory accurate results. Exponential accuracy away from the discontinuity is realized for the inviscid Burgers equation example.

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Polaronic neutron in dilute α matter: A p-wave Bose polaron

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Physical Review C 2025年第2期111卷 025802-025802页

作者： Hiroyuki Tajima Hajime Moriya Tomoya Naito Wataru Horiuchi Eiji Nakano Kei Iida Department of Physics Graduate School of Science The University of Tokyo Tokyo 113-0033 Japan RIKEN Nishina Center Wako 351-0198 Japan Research Center for Nuclear Physics Osaka University Ibaraki 567-0047 Japan Interdisciplinary Theoretical and Mathematical Science Program (iTHEMS) RIKEN Wako 351-0198 Japan Department of Physics Osaka Metropolitan University Osaka 558-8585 Japan Nambu Yoichiro Institute of Theoretical and Experimental Physics (NITEP) Osaka Metropolitan University Osaka 558-8585 Japan Department of Physics Hokkaido University Sapporo 060-0810 Japan Department of Mathematics and Physics Kochi University Kochi 780-8520 Japan

We theoretically investigate quasiparticle properties of a neutron immersed in an alpha condensate, which is one of the possible states of dilute symmetric nuclear matter. The resonant p-wave neutron-alpha scattering, which plays a crucial role in forming halo nuclei, is considered. This system is similar to a Bose polaron near the p-wave Feshbach resonance that can be realized in cold-atomic experiments. Calculating the self-energy within the field-theoretical approach, we give an analytical formula for the effective mass of a polaronic neutron as a function of alpha condensation density. Moreover, two adjacent neutrons in a medium, each of which behaves like a stable polaron having an enhanced effective mass, can form a bound dineutron, with the help of S01 neutron-neutron attraction. This is in contrast to the case of the vacuum, where a dineutron is known to be unbound. Our result is useful for understanding many-body physics in astrophysical environments as well as the formation of multinucleon clusters in neutron-halo nuclei.

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Viscoelastic and boundary feedback damping: Precise energy decay rates when creep modes are dominant

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Journal of Integral Equations and Applications 1990年第4期2卷 495-527页

作者： Hannsgen, Kenneth B. Wheeler, Robert L. Department of Mathematics and Interdisciplinary Center for Applied Mathematics Virginia Polytechnic Institute State University Blacksburg VA 24061-0123 United States

For a linear Volterra equation of scalar type in a Banach space, sufficient conditions are given for the operator norms of three associated resolvent kernels to be integrable with respect to a weight on the positive half-line. The results and methods extend those introduced by Priiss for integrability with respect to ordinary Lebesgue measure. The estimates are applied to the estimation of precise decay rates for energy in a viscoelastic solid when the memory kernel decays algebraically and creep modes dominate the oscillating modes. It is shown that boundary feedback is ineffective in promoting decay in such cases. © 1990 Rocky Mountain mathematics Consortium.

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Multiscale discrete Maxwell boundary condition for the discrete unified gas kinetic scheme for all Knudsen number flows

arXiv

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arXiv 2025年

作者： Xin, Ziyang Zhang, Yue Zhang, Chuang Guo, Zhaoli State Key Laboratory of Coal Combustion School of Energy and Power Engineering Huazhong University of Science and Technology Wuhan430074 China Hubei Provincial Engineering Technology Research Center of Green Chemical Equipment School of Mechanical and Electrical Engineering Wuhan Institute of Technology Wuhan430205 China Department of Physics Hangzhou Dianzi University Hangzhou310018 China Institute of Interdisciplinary Research for Mathematics and Applied Science Huazhong University of Science and Technology Wuhan430074 China

In this paper, a multiscale boundary condition for the discrete unified gas kinetic scheme (DUGKS) is developed for gas flows in all flow regimes. Based on the discrete Maxwell boundary condition (DMBC), this study addresses the limitations of the original DMBC used in DUGKS. Specifically, it is found that the DMBC produces spurious velocity slip and temperature jump, which are proportional to the mesh size and the momentum accommodation coefficient. The proposed multiscale DMBC is implemented by ensuring that the reflected original distribution function excludes collision effects. Theoretical analyses and numerous numerical tests show that the multiscale DMBC can achieve exactly the non-slip and non-jump conditions in the continuum limit and accurately captures non-equilibrium phenomena across a wide range of Knudsen numbers. The results demonstrate that the DUGKS with the multiscale DMBC can work properly for wall boundary conditions in all flow regimes with a fixed discretization in both space and time, without limitations on the thickness of the Knudsen layer and relaxation time. Copyright © 2025, The Authors. All rights reserved.

关键词： Flow of gases

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