Готові списки джерел за темами / Structure preserving schemes

Добірка наукової літератури з теми "Structure preserving schemes"

Автор: Grafiati
Опубліковано: 7 липня 2024

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Зміст

  1. Статті в журналах
  2. Дисертації
  3. Частини книг
  4. Тези доповідей конференцій
  5. Звіти організацій

Статті в журналах з теми "Structure preserving schemes":

1

Huang, Langyang, Zhaowei Tian, and Yaoxiong Cai. "Compact Local Structure-Preserving Algorithms for the Nonlinear Schrödinger Equation with Wave Operator." Mathematical Problems in Engineering 2020 (January 28, 2020): 1–12. http://dx.doi.org/10.1155/2020/4345278.

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Combining the compact method with the structure-preserving algorithm, we propose a compact local energy-preserving scheme and a compact local momentum-preserving scheme for the nonlinear Schrödinger equation with wave operator (NSEW). The convergence rates of both schemes are Oh4+τ2. The discrete local conservative properties of the presented schemes are derived theoretically. Numerical experiments are carried out to demonstrate the convergence order and local conservation laws of the developed algorithms.
2

Chen, Meng, Linghua Kong, and Yuqi Hong. "Efficient structure‐preserving schemes for good Boussinesq equation." Mathematical Methods in the Applied Sciences 41, no. 5 (January 25, 2018): 1743–52. http://dx.doi.org/10.1002/mma.4696.

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3

Akkoyunlu, Canan, and Pelin Şaylan. "Structure Preserving Schemes for Coupled Nonlinear Schrödinger Equation." Journal of Physics: Conference Series 2701, no. 1 (February 1, 2024): 012090. http://dx.doi.org/10.1088/1742-6596/2701/1/012090.

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Abstract The numerical solution of CNLS equations are studied for periodic wave solutions. We use the first order partitioned average vector field method, the second order partitioned average vector field composition method and plus method. The nonlinear implicit schemes preserve the energy and the momentum. The results show that the methods are successful to get approximation.
4

Li, Xiaofan, Mingwen Lu, Shaolin Liu, Shizhong Chen, Huan Zhang, and Meigen Zhang. "A symplectic method for structure-preserving modelling of damped acoustic waves." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2183 (November 2015): 20150105. http://dx.doi.org/10.1098/rspa.2015.0105.

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In this paper, a symplectic method for structure-preserving modelling of the damped acoustic wave equation is introduced. The equation is traditionally solved using non-symplectic schemes. However, these schemes corrupt some intrinsic properties of the equation such as the conservation of both precision and the damping property in long-term calculations. In the method presented, an explicit second-order symplectic scheme is used for the time discretization, whereas physical space is discretized by the discrete singular convolution differentiator. The performance of the proposed scheme has been tested and verified using numerical simulations of the attenuating scalar seismic-wave equation. Scalar seismic wave-field modelling experiments on a heterogeneous medium with both damping and high-parameter contrasts demonstrate the superior performance of the approach presented for suppression of numerical dispersion. Long-term computational experiments display the remarkable capability of the approach presented for long-time simulations of damped acoustic wave equations. Promising numerical results suggest that the approach is suitable for high-precision and long-time numerical simulations of wave equations with damping terms, as it has a structure-preserving property for the damping term.
5

Cheng, Qing, and Jie Shen. "A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving." SIAM Journal on Numerical Analysis 60, no. 3 (May 5, 2022): 970–98. http://dx.doi.org/10.1137/21m144877x.

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6

Cheng, Qing, and Jie Shen. "A new Lagrange multiplier approach for constructing structure preserving schemes, I. Positivity preserving." Computer Methods in Applied Mechanics and Engineering 391 (March 2022): 114585. http://dx.doi.org/10.1016/j.cma.2022.114585.

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7

Pal, N. R., and V. K. Eluri. "Two efficient connectionist schemes for structure preserving dimensionality reduction." IEEE Transactions on Neural Networks 9, no. 6 (1998): 1142–54. http://dx.doi.org/10.1109/72.728358.

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8

Song, Ming-Zhan, Xu Qian, and Song-He Song. "Modified Structure-Preserving Schemes for the Degasperis—Procesi Equation." Chinese Physics Letters 33, no. 11 (November 2016): 110202. http://dx.doi.org/10.1088/0256-307x/33/11/110202.

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9

Katta, Kiran K., Ramachandran D. Nair, and Vinod Kumar. "High-Order Finite-Volume Transport on the Cubed Sphere: Comparison between 1D and 2D Reconstruction Schemes." Monthly Weather Review 143, no. 7 (July 1, 2015): 2937–54. http://dx.doi.org/10.1175/mwr-d-13-00176.1.

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Abstract This paper presents two finite-volume (FV) schemes for solving linear transport problems on the cubed-sphere grid system. The schemes are based on the central-upwind finite-volume (CUFV) method, which is a class of Godunov-type method for solving hyperbolic conservation laws, and combines the attractive features of the classical upwind and central FV methods. One of the CUFV schemes is based on a dimension-by-dimension approach and employs a fifth-order one-dimensional (1D) Weighted Essentially Nonoscillatory (WENO5) reconstruction method. The other scheme employs a fully two-dimensional (2D) fourth-order accurate reconstruction method. The cubed-sphere grid system imposes several computational challenges due to its patched-domain topology and nonorthogonal curvilinear grid structure. A high-order 1D interpolation procedure combining cubic and quadratic interpolations is developed for the FV schemes to handle the discontinuous edges of the cubed-sphere grid. The WENO5 scheme is compared against the fourth-order Kurganov–Levy (KL) scheme formulated in the CUFV framework. The performance of the schemes is compared using several benchmark problems such as the solid-body rotation and deformational-flow tests, and empirical convergence rates are reported. In addition, a bound-preserving filter combined with an optional positivity-preserving filter is tested for nonsmooth problems. The filtering techniques considered are local, inexpensive, and effective. A fourth-order strong stability preserving explicit Runge–Kutta time-stepping scheme is used for integration. The results show that schemes are competitive to other published FV schemes in the same category.
10

Pareschi, Lorenzo, and Mattia Zanella. "Structure Preserving Schemes for Nonlinear Fokker–Planck Equations and Applications." Journal of Scientific Computing 74, no. 3 (July 26, 2017): 1575–600. http://dx.doi.org/10.1007/s10915-017-0510-z.

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Статті в журналах

Дисертації з теми "Structure preserving schemes":

1

Alama, Bronsard Yvonne. "Schémas numériques pour les équations dispersives non linéaires : analyse à faible régularité, cadre aléatoire et préservation de symétries." Electronic Thesis or Diss., Sorbonne université, 2024. http://www.theses.fr/2024SORUS065.

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Le travail présenté dans cette thèse relève du domaine de l'analyse numérique et s'appuie sur des outils issus de l'étude des équations aux dérivées partielles (EDP). Nous nous concentrons sur les discrétisations temporelles des équations dispersives non linéaires. L'objectif est de réduire les hypothèses de régularité nécessaires lors de la conception et de l'analyse des méthodes numériques, afin de traiter les dynamiques à faible régularité.La partie I de la thèse introduit de nouveaux schémas à faible régularité, adaptés à des domaines bornés génériques. Le chapitre 2 présente des résultats de convergence au premier et au second ordre pour l'approximation de l'équation de Gross-Pitaevskii, lorsque la donnée initiale et le potentiel sont peu réguliers. Le chapitre 3 généralise la construction de ces schémas aux ordres supérieurs, et pour une classe générale d'équations d'évolution non linéaires.La partie II est constituée du chapitre 4, qui génère des constructions d'ordre élevé dans le cadre de conditions initiales aléatoires.Finalement, la partie III se consacre à l'étude en temps long d'équations dispersives, et de leurs invariants, en considérant des schémas préservant leur structure. Elle débute avec le chapitre 5, qui introduit un nouvel intégrateur symétrique pour l'équation de Schrödinger non linéaire, et démontre des résultats de convergence à des taux fractionnaires, en fonction de la régularité de Sobolev de la donnée initiale. Par la suite, le chapitre 6 étend cette construction symétrique aux ordres supérieurs et pour la résolution numérique d'une classe générale d'équations dispersives. Des simulations numériques montrent que ces nouveaux schémas symétriques présentent d'excellentes propriétés de préservation de la structure.Les extensions aux ordres supérieurs développées aux chapitres 3, 4, et 6 se fondent sur de nouvelles techniques d'arbres décorés, inspirées par le champ des EDP stochastiques singulières, via la théorie des structures de régularité
The work presented in this thesis belongs to the field of numerical analysis, and builds on tools stemming from the study of partial differential equations (PDEs). We focus on time discretizations to nonlinear dispersive equations. The aim is to reduce the smoothness assumptions on the design and analysis of numerical methods, in order to treat low-regularity dynamics.Part I of the thesis develops novel low-regularity schemes, suited for general bounded domains. Chapter 2 presents first and second order convergence results for the Gross-Pitaevskii equation, when both the initial data and the potential are non-smooth. Chapter 3 generalizes the construction of these schemes to higher order and to a general class of nonlinear evolution equations with potentials.Part II of the thesis consists of Chapter 4, which considers higher-order constructions for randomized initial conditions. Part III of the thesis considers the long-time properties and invariants of the equation, and deals with structure-preserving schemes. We first introduce in Chapter 5 a novel symmetric time integrator for the nonlinear Schr ̈odinger equation. We give fractional convergence rates as a function of the Sobolev regularity of the initial data. Chapter 6 extends the latter work by constructing higher order symmetric integrators for a general class of dispersive equations. All these new symmetric schemes exhibit excellent structure preservation and convergence properties, which are witnessed in numerical experiments.The higher order extensions of Chapters 3, 4, 6 follow new techniques based on decorated tree series, inspired by singular stochastic PDEs via the theory of Regularity Structures
2

Kee, Loke-Keat, and 紀露結. "Application of a Structure-preserving Scheme to Solve Nonlinear Schrödinger Equation." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/a7c823.

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Анотація:
碩士
國立臺灣大學
應用數學科學研究所
106
Rogue wave has been captivating to researchers. People have not fully understood rogue wave yet. The first strong scientific evidence was presented in 1995, just nearly a quarter-century ago. Since then, people gradually noticed that this phenomenon could occur in other media as well. The first optical rogue wave was reported in 2007. In the first part of this thesis, we try to understand this special phenomenon. The definition of rogue wave is introduced and then the physical mechanisms of rogue wave are given according to linear mechanism and nonlinear mechanism. From the nonlinear mechanism, nonlinear Schrödinger equation (NLS) can be obtained analytically. We would like to know more about rogue wave by investigating NLS equation. Similarly, the coupled NLS equations are obtained by considering the linear and nonlinear response in the birefringent optical fibers. The coupled NLS equations can describe the pulse propagation in those fibers. In the second part of this thesis, we review a numerical method that can solve NLS equation for which the equation is separated into linear and nonlinear part. The latter can be solved iteratively. The method has been modified in order to solve coupled NLS equations. In the third part of this thesis, we first consider examples that admit exact solutions in order to know the proposed algorithms work well in both NLS and coupled NLS cases. We then move to solve semi-classical NLS equation by using this method. Last but not least, we simulate rogue wave and two quantized vortex lattices in a rotating trapped Bose-Einstein condensate (BEC). We hope to know more about these phenomena through simulations.

Частини книг з теми "Structure preserving schemes":

1

Feng, Kang, and Mengzhao Qin. "Structure Preserving Schemes for Birkhoff Systems." In Symplectic Geometric Algorithms for Hamiltonian Systems, 617–39. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-01777-3_16.

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2

Chatterjee, Sanjit, and Alfred Menezes. "Type 2 Structure-Preserving Signature Schemes Revisited." In Advances in Cryptology -- ASIACRYPT 2015, 286–310. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-48797-6_13.

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3

Romero, Ignacio. "High Frequency Dissipative Integration Schemes for Linear and Nonlinear Elastodynamics." In Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics, 1–30. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31879-0_1.

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4

Pareschi, Lorenzo, and Mattia Zanella. "Structure Preserving Schemes for Mean-Field Equations of Collective Behavior." In Theory, Numerics and Applications of Hyperbolic Problems II, 405–21. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91548-7_31.

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5

Wu, Xinyuan, and Bin Wang. "Arbitrarily High-Order Time-Stepping Schemes for Nonlinear Klein–Gordon Equations." In Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, 269–316. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-9004-2_11.

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6

Krell, Stella, and Julien Moatti. "Structure-Preserving Schemes for Drift-Diffusion Systems on General Meshes: DDFV Versus HFV." In Springer Proceedings in Mathematics & Statistics, 325–34. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-40864-9_27.

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7

Pronello, Nicola, Rosaria Ignaccolo, Luigi Ippoliti, and Sara Fontanella. "Penalized Model-Based Functional Clustering: A Regularization Approach via Shrinkage Methods." In Studies in Classification, Data Analysis, and Knowledge Organization, 313–21. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-09034-9_34.

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AbstractWith the advance of modern technology, and with data being recorded continuously, functional data analysis has gained a lot of popularity in recent years. Working in a mixture model-based framework, we develop a flexible functional clustering technique achieving dimensionality reduction schemes through a L1 penalization. The proposed procedure results in an integrated modelling approach where shrinkage techniques are applied to enable sparse solutions in both the means and the covariance matrices of the mixture components, while preserving the underlying clustering structure. This leads to an entirely data-driven methodology suitable for simultaneous dimensionality reduction and clustering. Preliminary experimental results, both from simulation and real data, show that the proposed methodology is worth considering within the framework of functional clustering.
8

Elovici, Yuval, Ronen Waisenberg, Erez Shmueli, and Ehud Gudes. "A Structure Preserving Database Encryption Scheme." In Lecture Notes in Computer Science, 28–40. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-30073-1_3.

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9

Camenisch, Jan, Maria Dubovitskaya, and Kristiyan Haralambiev. "Efficient Structure-Preserving Signature Scheme from Standard Assumptions." In Lecture Notes in Computer Science, 76–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-32928-9_5.

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10

Wu, Xinyuan, and Bin Wang. "An Energy-Preserving and Symmetric Scheme for Nonlinear Hamiltonian Wave Equations." In Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, 251–68. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-9004-2_10.

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Тези доповідей конференцій з теми "Structure preserving schemes":

1

Xu, Min, Tao Yang, and Mingjun Wei. "Implementation of Immersed Boundary Method in WENO Scheme to Simulate Shock-Structure Interaction." In ASME 2017 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/fedsm2017-69217.

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In the present work, a sharp interface immersed boundary method using ghost-cells is implemented in a traditional 5th-order WENO scheme for shock capturing. To avoid non-physical negative density and pressure involved in high order conservative schemes, a cut-off flux limiter is introduced to enforce the positivity-preserving property, which allows to simulate the flow near vacuum and with strong discontinuities. The combined approach was first benchmarked by a steady oblique shock reflection problem with an exact solution from the oblique shock theory. Then, the algorithm was tested for singularity treatment by another classical problem of shock interaction with a forward facing step. For problems with moving boundaries, the new approach was validated against well-tested numerical solutions of a prescribed moving cylinder problem and a shock-lifting-off-cylinder problem. The agreement in all the benchmark studies shows the accuracy and capability of the current algorithm, in its simple form, to simulate the shockwave interacting with stationary obstacles or moving structures, where the structures′ motion can be either prescribed or determined by fully-coupled dynamics with surrounding flows. Finally, the approach was applied to investigate the impact of shock waves on a deformable body modeled by spring-linked plates, with different spring constants being considered.
2

Bertaglia, Giulia. "Augmented fluid-structure interaction systems for viscoelastic pipelines and blood vessels." In VI ECCOMAS Young Investigators Conference. València: Editorial Universitat Politècnica de València, 2021. http://dx.doi.org/10.4995/yic2021.2021.13450.

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Mathematical models and numerical methods are a powerful resource for better understanding phenomena and processes throughout the fluid dynamics field, allowing significant reductions in the costs, which would otherwise be required to perform laboratory experiments, and even allowing to obtain useful data that could not be gathered through measurements.The correct characterization of the interactions that occur between the fluid and the wall that surrounds it is a fundamental aspect in all contexts involving deformable ducts, which requires the utmost attention at every stage of both the development of the computational method and the interpretation of the results and their application to cases of practical interest.In this work, innovative mathematical models able to predict the behavior of the fluid-structure interaction (FSI) mechanism that underlies the dynamics of flows in different compliant ducts is presented. Starting from the purely civil engineering sector, with the study of plastic water pipelines, the final application of the proposed tool is linked to the medical research field, to reproduce the mechanics of blood flow in both arteries and veins. With this aim, various linear viscoelastic models, from the simplest to the more sophisticated, have been applied and extended to obtain augmented FSI systems in which the constitutive equation of the material is directly embedded into the system as partial differential equation [1]. These systems are solved recurring to second-order Finite Volume Methods that take into account the recent evolution in the computational literature of hyperbolic balance laws systems [2]. To avoid the loss of accuracy in the stiff regimes of the proposed systems, asymptotic-preserving IMEX Runge-Kutta schemes are considered for the time discretization, which are able to maintain the consistency and the accuracy in the diffusive limit, without restrictions due to the scaling parameters [3]. The models have been extensively validated through different types of test cases, highlighting the advantages of using the augmented formulation of the system of equations. Furthermore, comparisons with experimental data have been considered both for the water pipelines scenario and the blood flow modeling, recurring to in-vivo measurements for the latter.REFERENCES[1] Bertaglia, G., Caleffi, V. and Valiani, A. Modeling blood flow in viscoelastic vessels: the 1D augmented fluid-structure interaction system. Comput. Methods Appl. Mech. Eng., 360(C):112772 (2020).[2] Bertaglia, G., Ioriatti, M., Valiani, A., Dumbser, M. and Caleffi, V. Numerical methods for hydraulic transients in visco-elastic pipes. J. Fluids Struct., 81:230-254 (2018).[3] Pareschi, L. and Russo, G. Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. J. Sci. Comput., 25:129-155 (2005).
3

Betsch, Peter, Ralf Siebert, and Nicolas Sa¨nger. "Natural Coordinates in the Optimal Control of Multibody Systems." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47310.

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The formulation of multibody dynamics in terms of natural coordinates (NCs) leads to equations of motion in the form of differential-algebraic equations (DAEs). A characteristic feature of the natural coordinates approach is a constant mass matrix. The DAEs make possible (i) the systematic assembly of open-loop and closed-loop multibody systems, (ii) the design of state-of-the-art structure-preserving integrators such as energy-momentum or symplectic-momentum schemes, and (iii) the direct link to nonlinear finite element methods. However, the use of NCs in the optimal control of multibody systems presents two major challenges. First, the consistent application of actuating joint-forces becomes an issue since conjugate joint-coordinates are not directly available. Secondly, numerical methods for optimal control with index-3 DAEs are still in their infancy. The talk will address the two aforementioned issues. In particular, a new energy-momentum consistent method for the optimal control of multibody systems in terms of NCs will be presented.
4

Zhao, Jianan, Xiao Wang, Chuan Shi, Zekuan Liu, and Yanfang Ye. "Network Schema Preserving Heterogeneous Information Network Embedding." In Twenty-Ninth International Joint Conference on Artificial Intelligence and Seventeenth Pacific Rim International Conference on Artificial Intelligence {IJCAI-PRICAI-20}. California: International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/ijcai.2020/190.

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As heterogeneous networks have become increasingly ubiquitous, Heterogeneous Information Network (HIN) embedding, aiming to project nodes into a low-dimensional space while preserving the heterogeneous structure, has drawn increasing attention in recent years. Many of the existing HIN embedding methods adopt meta-path guided random walk to retain both the semantics and structural correlations between different types of nodes. However, the selection of meta-paths is still an open problem, which either depends on domain knowledge or is learned from label information. As a uniform blueprint of HIN, the network schema comprehensively embraces the high-order structure and contains rich semantics. In this paper, we make the first attempt to study network schema preserving HIN embedding, and propose a novel model named NSHE. In NSHE, a network schema sampling method is first proposed to generate sub-graphs (i.e., schema instances), and then multi-task learning task is built to preserve the heterogeneous structure of each schema instance. Besides preserving pairwise structure information, NSHE is able to retain high-order structure (i.e., network schema). Extensive experiments on three real-world datasets demonstrate that our proposed model NSHE significantly outperforms the state-of-the-art methods.
5

Jiang, Yao, Liu Yang, and Siva Nadarajah. "Influence of Numerical Dissipation on Draft Tube Flows." In ASME 2018 5th Joint US-European Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/fedsm2018-83225.

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Hydro-turbines are operated at loads above or below the best efficiency point (over- or part-load), where turbulent flow structures are formed in the draft tube. The goal of the project is to investigate turbulent flows present in the draft tube through a thorough numerical investigation. In the context of numerical simulations, a focus is made on the numerical scheme. Steady and unsteady simulations with the k-ωom SST turbulence model are applied with a novel eddy-preserving limiter scheme for draft tube flows. The application of the eddy-preserving limiter scheme allows to better resolve the flow field. Numerical results are validated through a comparison to experimental data.
6

Ersal, Tulga, Hosam K. Fathy, and Jeffrey L. Stein. "Realization-Preserving Structure and Order Reduction of Nonlinear Energetic System Models Using Energy Trajectory Correlations." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42041.

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Previous work by the authors developed algorithms for simplifying the structure of a lumped dynamic system model and reducing its order. This paper extends this previous work to enable simultaneous model structure and order reduction. Specifically, it introduces a new energy-based metric to evaluate the relative importance of energetic connections in a model. This metric (1) accounts for correlations between energy flow patterns in a model using the Karhunen-Loe`ve expansion; (2) examines all energetic connections in a model, thereby assessing the relative importance of both energetic components and their interactions, and enabling both order and structural reduction; and (3) is realization-preserving, in the sense of not requiring a state transformation. A reduction scheme based on this metric is presented and illustrated using a simple example.
7

Ghafghazi, Hamidreza, Amr ElMougy, Hussein T. Mouftah, and Carlisle Adams. "Secure data storage structure and privacy-preserving mobile search scheme for public safety networks." In 2016 IEEE Wireless Communications and Networking Conference (WCNC). IEEE, 2016. http://dx.doi.org/10.1109/wcnc.2016.7564866.

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8

Kumazaki, Kota, and Tetsuya Ishiwata. "Structure preserving finite difference scheme for the Landau-Lifshitz equation with applied magnetic field." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0644.

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Tresoldi, D., U. Morbiducci, D. Gallo, M. Cadioli, R. Ponzini, A. Esposito, F. De Cobelli, and G. Rizzo. "Improving 3D Cine Phase Contrast MRI Aortic Hemodynamics In Vivo Measurements by Means of an Anisotropic Diffusion Filter." In ASME 2013 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/sbc2013-14469.

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3D CINE Phase Contrast Magnetic Resonance Imaging (PCMRI) is considered the technique of election to study in vivo the time varying, complex blood flow structures evolving into arteries [1]. PCMRI allows to obtain a quantitative depiction of the spatial distribution of blood velocities from the acquired phase data and the anatomical image of the district of interest from magnitude data. A major limitation in the application of 3D CINE PCMRI to the clinical practice is the long scan time needed to obtain phase datasets (i.e., blood flow velocities) of sufficient quality for hemodynamic visualizations of time evolving fluid structures or for volumetric flow rates retrospective quantification and analysis. Recently, huge efforts have been done to speed up in vivo acquisitions by implementing/optimizing parallel imaging acquisition schemes as the Sensitivity Encoding (SENSE) [2]. However, the increased reduction factors employed in SENSE scheme to speed up the acquisition lead to acquired PCMRI images affected by marked noise levels, with detrimental effects on measured velocity vector fields. A solution could be offered by the application of an Anisotropic Diffusion Filter (ADF) [3]. Anisotropic filtering is already known for its ability in reducing noise without adding blurring effects, thus preserving fine image details, and it is applied here for the first time to PCMRI data. In this work we propose the application of an ADF strategy to 3D cine PCMRI data of the thoracic aorta obtained with SENSE parallel imaging. The effectiveness of anisotropic filtering in improving image quality for the in vivo hemodynamic characterization of the aorta has been investigated on PCMRI studies acquired with different SENSE reduction factors. The final aim is to denoise and regularize 3D cine velocity maps, preserving, in the meantime, the vessel anatomical contours. This approach could allow to obtain the full 3D characterization of the aortic hemodynamics in acquisition times which are acceptable in the clinical practice.
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Sun, Andy, and Amin Gholami. "A Distributed Scheme for Stability Assessment in Large Scale Structure-Preserving Models via Singular Perturbation." In Hawaii International Conference on System Sciences. Hawaii International Conference on System Sciences, 2021. http://dx.doi.org/10.24251/hicss.2021.386.

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1

Calmfors, Lars, and Nora Sánchez Gassen, eds. Economic Policy beyond the Pandemic in the Nordic Countries. Nordregio, April 2024. http://dx.doi.org/10.6027/r2024:121403-2503.

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This comprehensive report delves into the economic policy responses of the Nordic countries amidst the tumultuous period marked by the COVID-19 pandemic, the subsequent recovery phase, the energy crisis, and inflation spanning from 2020 to 2023. It provides a critical examination of the macroeconomic strategies employed during these challenging times, highlighting the lessons learned and the effectiveness of different policies. The report raises pivotal questions regarding the outcomes of these policies, their impact on the Nordic economies, and the lessons that these countries can glean from each other's experiences. Key Findings and Highlights: Fiscal Support Measures: The report evaluates the unprecedented fiscal support measures implemented by the Nordic countries during the pandemic. It discusses how these measures, while stabilizing the economies, resulted in overgenerous subsidies to firms, indicating areas for future refinement. Job Retention Schemes: An analysis of job retention schemes reveals their critical role in preserving employment during the pandemic. The report suggests that while effective, these schemes should be designed to avoid hindering necessary structural changes within the economies. Fiscal Policy Challenges: The need for fiscal policies that can stabilize the business cycle, provide household income loss insurance, allow for public investment, and address the needs of an ageing population is emphasized. It argues for debt financing beyond current limits to meet urgent investment needs. Energy Crisis and Green Transition: The energy crisis is examined as a case study in balancing immediate relief with long-term sustainability goals. The report discusses the importance of allowing price mechanisms to encourage the green transition while providing timely support to consumers and businesses. Overall the report underscores the importance of policy adaptability, advocating for economic policies that can swiftly respond to unforeseen crises without compromising long-term fiscal sustainability. It calls for targeted support measures that aid vulnerable households and firms during economic downturns without impeding structural adjustments. Furthermore, it emphasizes the necessity for adequate resources towards active labour market policies, including vocational training and subsidized employment. Facing intricate trade-offs between maintaining robust economic policy frameworks and adapting to new challenges, the Nordic countries stand at a crossroads. The report advocates for a vibrant exchange of policy insights and impacts, stressing the need for adaptable, targeted, and well-resourced economic policies. This report is essential reading for policymakers, economists, and anyone interested in the complexities of economic policy-making in the face of multiple crises. It offers a thorough analysis of the Nordic experience, providing valuable lessons for both the region and beyond.

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