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Journal articles on the topic 'Schéma de Glimm'

Author: Grafiati

Published: 25 May 2024

Last updated: 31 July 2025

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1

Peng, Yue-Jun, and Denis Serre. "Non-consistance du schéma de glimm pour le systéme des câbles elastiques." Applied Mathematics Letters 5, no. 5 (1992): 35–38. http://dx.doi.org/10.1016/0893-9659(92)90059-i.

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2

Bianchini, Stefano, and Stefano Modena. "On a quadratic functional for scalar conservation laws." Journal of Hyperbolic Differential Equations 11, no. 02 (2014): 355–435. http://dx.doi.org/10.1142/s0219891614500118.

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We prove a quadratic interaction estimate for approximate solutions to scalar conservation laws obtained by the wavefront tracking approximation or the Glimm scheme. This quadratic estimate has been used in the literature to prove the convergence rate of the Glimm scheme. The proof is based on the introduction of a quadratic functional 𝔔(t), decreasing at every interaction, and such that its total variation in time is bounded. Differently from other interaction potentials present in the literature, the form of this functional is the natural extension of the original Glimm functional, and coinc

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3

Bressan, Alberto. "The unique limit of the Glimm scheme." Archive for Rational Mechanics and Analysis 130, no. 3 (1995): 205–30. http://dx.doi.org/10.1007/bf00392027.

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4

HUA, JIALE, and TONG YANG. "A NOTE ON THE NEW GLIMM FUNCTIONAL FOR GENERAL SYSTEMS OF HYPERBOLIC CONSERVATION LAWS." Mathematical Models and Methods in Applied Sciences 20, no. 05 (2010): 815–42. http://dx.doi.org/10.1142/s0218202510004453.

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For systems of hyperbolic conservation laws, a new Glimm functional was recently constructed when the linearly degenerate manifold in each characteristic field is either the whole space or it consists of a finitely many smooth and transversal manifolds of codimension one. This new functional leads to the neat consistency and convergence rate estimation of the Glimm scheme. In this paper, by the motivation of the result in Ref. 2, we show that the corresponding new Glimm functional can be constructed for general systems only under the strict hyperbolicity assumption.

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5

Ancona, Fabio, and Andrea Marson. "A Locally Quadratic Glimm Functional and Sharp Convergence Rate of the Glimm Scheme for Nonlinear Hyperbolic Systems." Archive for Rational Mechanics and Analysis 196, no. 2 (2009): 455–87. http://dx.doi.org/10.1007/s00205-009-0248-3.

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6

Hua, Jiale, Zaihong Jiang, and Tong Yang. "A New Glimm Functional and Convergence Rate of Glimm Scheme for General Systems of Hyperbolic Conservation Laws." Archive for Rational Mechanics and Analysis 196, no. 2 (2009): 433–54. http://dx.doi.org/10.1007/s00205-009-0266-1.

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7

Frid, Hermano. "Periodic solutions of conservation laws constructed through Glimm scheme." Transactions of the American Mathematical Society 353, no. 11 (2001): 4529–44. http://dx.doi.org/10.1090/s0002-9947-01-02813-6.

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8

Wang, Zejun, and Qi Zhang. "Periodic solutions to p-system constructed through Glimm scheme." Journal of Mathematical Analysis and Applications 435, no. 2 (2016): 1088–98. http://dx.doi.org/10.1016/j.jmaa.2015.10.070.

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9

Chou, Shih-Wei, and Bo-Chih Huang. "Global transonic solutions of hot-Jupiter model for exoplanetary atmosphere." Nonlinearity 37, no. 8 (2024): 085004. http://dx.doi.org/10.1088/1361-6544/ad506d.

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Abstract In this paper, we make modifications to the original hot-Jupiter model, which addresses the problem of hydrodynamic escape for the planetary atmosphere. The model involves the Euler equation with gravity, tidal effect, and heat. We employ the generalised Glimm technique to prove the presence of transonic solutions to the problem. By adjusting the dilation of the characteristic fields, we enhance the accuracy of the Glimm–Goodman wave interaction estimates. This allows us to establish a more general admissible condition for stabilizing the generalised Glimm scheme. Additionally, we der

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10

Bressan, Alberto, and Andrea Marson. "Error Bounds for a Deterministic Version of the Glimm Scheme." Archive for Rational Mechanics and Analysis 142, no. 2 (1998): 155–76. http://dx.doi.org/10.1007/s002050050088.

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11

Chou, Shih-Wei, John M. Hong, Bo-Chih Huang, and Reyna Quita. "Global bounded variation solutions describing Fanno–Rayleigh fluid flows in nozzles." Mathematical Models and Methods in Applied Sciences 28, no. 06 (2018): 1135–69. http://dx.doi.org/10.1142/s0218202518500306.

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In this paper, we investigate the initial-boundary value problem of compressible Euler equations including friction and heating that model the transonic Fanno–Rayleigh flows through symmetric variable area nozzles. In particular, the case of contracting nozzles is considered. A new version of a generalized Glimm scheme (GGS) is presented for establishing the global existence of entropy solutions with bounded variation. Modified Riemann and boundary Riemann solutions are applied to design this GGS, which is constructed using the contraction matrices acting on the homogeneous Riemann (or boundar

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12

Gremaud, Pierre A., and Yi Sun. "Numerical Study of Singularity Formation in Relativistic Euler Flows." Communications in Computational Physics 16, no. 2 (2014): 348–64. http://dx.doi.org/10.4208/cicp.221212.300114a.

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AbstractThe formation of singularities in relativistic flows is not well understood. Smooth solutions to the relativistic Euler equations are known to have a finite lifespan; the possible breakdown mechanisms are shock formation, violation of the subluminal conditions and mass concentration. We propose a new hybrid Glimm/central-upwind scheme for relativistic flows. The scheme is used to numerically investigate, for a family of problems, which of the above mechanisms is involved.

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13

Barnes, A. P., P. G. Lefloch, B. G. Schmidt, and J. M. Stewart. "The Glimm scheme for perfect fluids on plane-symmetric Gowdy spacetimes." Classical and Quantum Gravity 21, no. 22 (2004): 5043–74. http://dx.doi.org/10.1088/0264-9381/21/22/003.

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14

CHEN, SHUXING, ZEJUN WANG, and YONGQIAN ZHANG. "GLOBAL EXISTENCE OF SHOCK FRONT SOLUTIONS TO THE AXIALLY SYMMETRIC PISTON PROBLEM FOR COMPRESSIBLE FLUIDS." Journal of Hyperbolic Differential Equations 01, no. 01 (2004): 51–84. http://dx.doi.org/10.1142/s0219891604000044.

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In this paper, we study the axially symmetric piston problem for compressible fluids when the velocity of the piston is a perturbation of a constant. Under the assumptions that both the velocity of the piston and the density of the gas outside the piston are small, we prove the global existence of a shock front solution by using a modified Glimm scheme.

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15

Yang, Tong. "CONVERGENCE RATE OF GLIMM SCHEME FOR GENERAL SYSTEMS OF HYPERBOLIC CONSERVATION LAWS." Taiwanese Journal of Mathematics 7, no. 2 (2003): 195–205. http://dx.doi.org/10.11650/twjm/1500575057.

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16

Ancona, Fabio, and Andrea Marson. "Sharp Convergence Rate of the Glimm Scheme for General Nonlinear Hyperbolic Systems." Communications in Mathematical Physics 302, no. 3 (2011): 581–630. http://dx.doi.org/10.1007/s00220-010-1178-5.

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17

HOLDEN, HELGE, NILS HENRIK RISEBRO, and HILDE SANDE. "THE SOLUTION OF THE CAUCHY PROBLEM WITH LARGE DATA FOR A MODEL OF A MIXTURE OF GASES." Journal of Hyperbolic Differential Equations 06, no. 01 (2009): 25–106. http://dx.doi.org/10.1142/s0219891609001757.

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In this paper, we study mixture of gases, each governed by a gamma law. The system is modeled by the p-system with variable gamma. We use this model to study immiscible gas flow. The main result is that the Cauchy problem with large data is shown to have a solution. We use the Glimm scheme for the proof. The result is illustrated by numerical examples.

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18

Christoforou, Cleopatra. "A remark on the Glimm scheme for inhomogeneous hyperbolic systems of balance laws." Journal of Hyperbolic Differential Equations 12, no. 04 (2015): 787–97. http://dx.doi.org/10.1142/s021989161550023x.

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General hyperbolic systems of balance laws with inhomogeneous flux and source are studied. Global existence of entropy weak solutions to the Cauchy problem is established for small BV data under appropriate assumptions on the decay of the flux and the source with respect to space and time. There is neither a hypothesis about equilibrium solution nor about the dependence of the source on the state vector as previous results have assumed.

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19

Hua, Jiale, and Tong Yang. "An improved convergence rate of Glimm scheme for general systems of hyperbolic conservation laws." Journal of Differential Equations 231, no. 1 (2006): 92–107. http://dx.doi.org/10.1016/j.jde.2006.03.017.

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20

Huang, Jinyang, Jinghua Wang, and Gerald Warnecke. "Error bounds for the large time step Glimm scheme applied to scalar conservation laws." Numerische Mathematik 91, no. 1 (2002): 13–34. http://dx.doi.org/10.1007/s002110100335.

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21

Abgrall, Remi, and Harish Kumar. "Numerical Approximation of a Compressible Multiphase System." Communications in Computational Physics 15, no. 5 (2014): 1237–65. http://dx.doi.org/10.4208/cicp.110313.230913a.

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AbstractThe numerical simulation of non conservative system is a difficult challenge for two reasons at least. The first one is that it is not possible to derive jump relations directly from conservation principles, so that in general, if the model description is non ambiguous for smooth solutions, this is no longer the case for discontinuous solutions. From the numerical view point, this leads to the following situation: if a scheme is stable, its limit for mesh convergence will depend on its dissipative structure. This is well known since at least [1]. In this paper we are interested in the

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22

Hong, John M., and Ying-Chin Su. "Generalized Glimm scheme to the initial boundary value problem of hyperbolic systems of balance laws." Nonlinear Analysis: Theory, Methods & Applications 72, no. 2 (2010): 635–50. http://dx.doi.org/10.1016/j.na.2009.07.003.

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23

KAN, Hui, and Xiaozhou YANG. "A two-dimensional glimm type scheme on cauchy problem of two-dimensional scalar conservation law." Acta Mathematica Scientia 37, no. 1 (2017): 1–25. http://dx.doi.org/10.1016/s0252-9602(16)30111-4.

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24

Chou, Shih-Wei, and Ying-Chieh Lin. "Concentration of source terms in generalized Glimm scheme for global entropy solutions of nonlinear hyperbolic balance laws." Journal of Differential Equations 263, no. 4 (2017): 2051–77. http://dx.doi.org/10.1016/j.jde.2017.03.039.

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25

Hong, John Meng-Kai, and Reyna Marsya Quita. "Approximation of generalized Riemann solutions to compressible Euler-Poisson equations of isothermal flows in spherically symmetric space-times." Tamkang Journal of Mathematics 48, no. 1 (2017): 73–94. http://dx.doi.org/10.5556/j.tkjm.48.2017.2274.

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In this paper, we consider the compressible Euler-Poisson system in spherically symmetric space-times. This system, which describes the conservation of mass and momentum of physical quantity with attracting gravitational potential, can be written as a $3\times 3$ mixed-system of partial differential systems or a $2\times 2$ hyperbolic system of balance laws with $global$ source. We show that, by the equation for the conservation of mass, Euler-Poisson equations can be transformed into a standard $3\times 3$ hyperbolic system of balance laws with $local$ source. The generalized approximate solu

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26

Groah, Jeff, and Blake Temple. "Shock-wave solutions of the Einstein equations with perfect fluid sources: existence and consistency by a locally inertial Glimm scheme." Memoirs of the American Mathematical Society 172, no. 813 (2004): 0. http://dx.doi.org/10.1090/memo/0813.

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27

Chou, Shih-Wei, John M. Hong, and Ying-Chieh Lin. "Global existence and strong trace property of entropy solutions by the source-concentration Glimm scheme for nonlinear hyperbolic balance laws." Methods and Applications of Analysis 26, no. 4 (2019): 371–94. http://dx.doi.org/10.4310/maa.2019.v26.n4.a4.

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28

Martins-Costa, Maria Laura, Felipe Bastos de Freitas Rachid, Rogério Pazetto S. da Gama, and Rogério M. Saldanha da Gama. "Combining Glimm’s Scheme and Operator Splitting for Simulating Constrained Flows in Porous Media." Axioms 13, no. 9 (2024): 587. http://dx.doi.org/10.3390/axioms13090587.

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This paper studies constrained Newtonian fluid flows through porous media, accounting for the drag effect on the fluid, modeled using a Mixture Theory perspective and a constitutive relation for the pressure—namely, a continuous and differentiable function of the saturation that ensures always preserving the problem hyperbolicity. The pressure equation also permits an ultra-small porous matrix supersaturation (that is controlled) and the transition from unsaturated to saturated flow (and vice versa). The mathematical model gives rise to a nonlinear, non-homogeneous hyperbolic system. Its numer

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29

Chern, I.-Liang. "Stability theorem and truncation error analysis for the Glimm scheme and for a front tracking method for flows with strong discontinuities." Communications on Pure and Applied Mathematics 42, no. 6 (1989): 815–44. http://dx.doi.org/10.1002/cpa.3160420606.

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30

Hu, Chuanmin. "Hyperspectral reflectance spectra of floating matters derived from Hyperspectral Imager for the Coastal Ocean (HICO) observations." Earth System Science Data 14, no. 3 (2022): 1183–92. http://dx.doi.org/10.5194/essd-14-1183-2022.

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Abstract. Using data collected by the Hyperspectral Imager for the Coastal Ocean (HICO) on the International Space Station between 2010–2014, hyperspectral reflectance spectra of various floating matters in global oceans and lakes are derived for the spectral range of 400–800 nm. Specifically, the entire HICO archive of 9411 scenes is first visually inspected to identify suspicious image slicks. Then, a nearest-neighbor atmospheric correction is used to derive surface reflectance of slick pixels. Finally, a spectral unmixing scheme is used to derive the reflectance spectra of floating matters.

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31

JÜRIADO, Inga, Leelia KARU, and Jaan LIIRA. "Habitat conditions and host tree properties affect the occurrence, abundance and fertility of the endangered lichenLobaria pulmonariain wooded meadows of Estonia." Lichenologist 44, no. 2 (2012): 263–75. http://dx.doi.org/10.1017/s0024282911000727.

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AbstractWe assessed multiple environmental factors that might influence the population vitality of the epiphytic lichenLobaria pulmonariaat the individual tree and habitat levels in partially overgrown wooded meadows in Estonia. A total of 301 trees of four species were sampled at nine study plots, using a stratified factorial scheme, 151 colonized byL. pulmonariaand 150 not colonized byL. pulmonariaforming the control group. We used the Generalized Linear Models (GLZ) to identify a complex of factors which predicts the probability of the lichen occurring on tree trunks and the presence of apo

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32

Hagg, W., M. Hoelzle, S. Wagner, and Z. Klose. "Estimation of future glaciation and runoff in the Tanimas basin, Eastern Pamirs." Hydrology and Earth System Sciences Discussions 8, no. 1 (2011): 1507–40. http://dx.doi.org/10.5194/hessd-8-1507-2011.

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Abstract. A conceptual hydrological model was set up in the upper Panj catchment, the main tributary of Amu-Darya river. Driven by daily temperature and precipitation, the model reproduced daily hydrographs of Tanimas river at the Rukhk gauging station in a very satisfactory way. Based on two glacier inventories from the mid-20st century (WGI, World Glacier Inventory) and from 2003 (GLIMS, Global Land Ice Measurements from Space), a simple parameterization scheme based on steady state conditions was applied to infer the ice volumes and glacier areas for the two different time periods in the pa

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33

Abdelrahman, Mahmoud A. E., and Hanan A. Alkhidhr. "A new variation for the relativistic Euler equations." Advances in Difference Equations 2020, no. 1 (2020). http://dx.doi.org/10.1186/s13662-020-02990-6.

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Abstract The Glimm scheme is one of the so famous techniques for getting solutions of the general initial value problem by building a convergent sequence of approximate solutions. The approximation scheme is based on the solution of the Riemann problem. In this paper, we use a new strength function in order to present a new kind of total variation of a solution. Based on this new variation, we use the Glimm scheme to prove the global existence of weak solutions for the nonlinear ultra-relativistic Euler equations for a class of large initial data that involve the interaction of nonlinear waves

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34

Groah, Jeff, and Blake Temple. "A locally inertial Glimm scheme for general relativity." Matemática Contemporânea 22, no. 10 (2002). http://dx.doi.org/10.21711/231766362002/rmc2210.

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35

Gallouët, Thierry, and Olivier Hurisse. "Convergence of a multidimensional Glimm-like scheme for the transport of fronts." IMA Journal of Numerical Analysis, July 27, 2021. http://dx.doi.org/10.1093/imanum/drab053.

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Abstract This paper is devoted to the numerical analysis of a numerical scheme for the simulation of front advection. The scheme has been recently proposed and it is based on the ideas used for Glimm’s scheme. It relies on a two-step approach: a convection step is followed by a projection step, which is based on a random choice. The main advantage of this scheme is that it is applicable to multidimensional problems. In the present paper, a convergence result for this scheme is provided for a particular class of multidimensional problems.

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36

Zhou, Xin, Junjin Liu, Qijuan Zhang, et al. "Comparison of the Suitability Between NRS2002 and MUST as the First-Step Screening Tool for GLIM Criteria in Hospitalized Patients With GIST." Frontiers in Nutrition 9 (April 11, 2022). http://dx.doi.org/10.3389/fnut.2022.864024.

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ObjectiveThe Global Leader Initiative on Malnutrition (GLIM) criteria have been recommended for malnutrition diagnosis recently, for which the first step is malnutrition risk screening with any validated tool. This study aims to investigate the incidence of malnutrition risk in gastrointestinal stromal tumor (GIST) inpatients and compare the suitability of Nutritional Risk Screening 2002 (NRS2002) and Malnutrition Universal Screening Tool (MUST) as the first-step screening tool for GLIM criteria.MethodsWe retrospectively analyzed the clinical data of GIST inpatients in our hospital from Januar

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37

Lu, Bing-Ze, Chou Kao, and Wen-Ching Lien. "Self-similar solutions of the relativistic Euler system with spherical symmetry." Quarterly of Applied Mathematics, October 24, 2023. http://dx.doi.org/10.1090/qam/1680.

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We consider the spherical piston problem in relativistic fluid dynamics. When the spherical piston expands at a constant speed, we show that the self-similar solution with a shock front exists under the relativistic principle that all velocities are bounded by the light speed. The equation of state is given by P = σ 2 ρ P= \sigma ^2 \rho , where σ \sigma , the sound speed, is a constant. It is an important model describing the evolution of stars. Also, we present the global existence of BV solutions for the relativistic Euler system given that the piston speed is perturbed around a constant in

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38

van Strien, Arco J., Bram Koese, Jelle Stienstra, Leo L. Soldaat, and Marnix de Zeeuw. "Trends in abundance and occupancy of the protected water beetle Graphoderus bilineatus in the Netherlands." Journal of Insect Conservation, February 23, 2024. http://dx.doi.org/10.1007/s10841-024-00550-x.

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Abstract The European Habitats Directive prescribes Member States to report on trends in abundance and distribution of protected species. One of these species is Graphoderus bilineatus (De Geer, 1774), a middle-sized predaceous aquatic beetle, listed in Annex II and IV of the Habitats Directive. In the Netherlands, a monitoring scheme for this species has been set up to assess the national trend as well as the trend in the national Natura2000 sites. In this scheme, a selection of 1 km2 squares is surveyed in cycles of six years using a standardized field method by professional fieldworkers. In

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39

Wang, Feiyue, Yun Wei, Meirong Wang, Zhaolu Pan, Guanghui Jin, and Xiaoqin Lu. "Process quality of type 2 diabetes mellitus care and association with patient perceived attributes of family doctor service in urban general practices, Beijing, China." BMC Primary Care 23, no. 1 (2022). http://dx.doi.org/10.1186/s12875-022-01838-0.

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Abstract Background Family doctor service (FDS) is a scheme oriented to improving the access and continuity of primary care in China. Type 2 diabetes mellitus (T2DM) management is a core component of FDS. However, evidence on the quality of T2DM care is lacking and the potential association between FDS attributes and T2DM care is largely unknown. This study attempted to assess the process quality of T2DM care in general practice and explore the association between patient perceived FDS attributes and process quality of T2DM care. Methods Total 400 patients were recruited from 5 community healt

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