Relevant bibliographies by topics / Glimm scheme

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Glimm scheme'

Author: Grafiati
Published: 25 May 2024
Last updated: 31 July 2025

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Journal articles on the topic "Glimm scheme"

1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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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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Dissertations / Theses on the topic "Glimm scheme"

1

Dongmo, Nguepi Guissel Lagnol. "Modèles mathématiques et numériques avancés pour la simulation du polymère dans les réservoirs pétroliers." Electronic Thesis or Diss., université Paris-Saclay, 2021. http://www.theses.fr/2021UPASG077.

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Une technique efficace pour accroître la production d’un champ pétrolier consiste à y injecter un mélange d’eau et de polymère. La viscosité du polymère réduit en effet la mobilité de l’eau, qui pousse alors mieux l’huile, d’où un taux d’extraction plus élevé. La simulation numérique d’un tel procédé de récupération d’hydrocarbures revêt donc d’une importance capitale. Or, malgré des décennies de recherche, la modélisation des écoulements avec polymère en milieu poreux et sa résolution numérique demeurent un sujet difficile. D’une part, les modèles habituellement employés par les ingénieurs de
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Books on the topic "Glimm scheme"

1

Groah, Jeffrey, Blake Temple, and Joel Smoller. Shock Wave Interactions in General Relativity: A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes. Springer London, Limited, 2007.

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2

Groah, Jeffrey, Blake Temple, and Joel Smoller. Shock Wave Interactions in General Relativity: A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes. Springer, 2010.

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Groah, Jeffrey, B. Temple, and Joel Smoller. Shock Wave Interactions in General Relativity: A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes (Springer Monographs in Mathematics). Springer, 2006.

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4

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). American Mathematical Society, 2004.

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Book chapters on the topic "Glimm scheme"

1

Smoller, Joel. "The Glimm Difference Scheme." In Grundlehren der mathematischen Wissenschaften. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0873-0_19.

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2

"The Glimm scheme." In Systems of Conservation Laws 1. Cambridge University Press, 1999. http://dx.doi.org/10.1017/cbo9780511612374.006.

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3

"5. Convergence of Lax–Friedrichs Scheme, Godunov Scheme and Glimm Scheme." In Vanishing Viscosity Method. De Gruyter, 2016. http://dx.doi.org/10.1515/9783110494273-005.

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4

Aitkin, Murray, Brain Francis, and John Hinde. "Introducing GLIM4." In Statistical Modelling in GLIM 4. Oxford University PressOxford, 2005. http://dx.doi.org/10.1093/oso/9780198524137.003.0001.

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Abstract Statistical modelling is an iterative process. We have a research question of interest, the experimental or observational context, the sampling scheme and the data. Based on these data and the other information, we develop an initial model, fit it to the data and examine the model output. We then plot the residuals, check the model assumptions and examine the parameter estimates. Based on this model output, we may modify the first model possibly through some transformation or the addition or subtraction of model terms. Fitting the second model may in turn lead to further models for th
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Swan, Tony, Robert Gilchrist, Malcolm Bradley, et al. "Applications of GLIM." In The Glim System. Oxford University PressOxford, 1993. http://dx.doi.org/10.1093/oso/9780198522317.003.0014.

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Abstract This chapter of the Modelling Guide is intended to give a set of more or less complete analyses covering a range of practical problems for which GLIM is useful. The examples are also intended to convey how the various facilities of GLIM, especially the high-resolution graphics, may be used with practical problems, and to provide a useful reference for users with similar problems. The examples given here are designed to cover the most common problems that arise for which univariate modelling is appropriate. They are grouped, mainly, according to the type of response variable of which t
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Conference papers on the topic "Glimm scheme"

1

Cunha da Silva, Daniel, Maria Laura Martins-Costa, and ROGERIO GAMA. "APPLICATION OF GLIMM SCHEME FOR DESCRIBING FLOW THROUGH POROUS MEDIA WITH KINEMATICAL CONSTRAINED FLUID FRACTION." In 18th Brazilian Congress of Thermal Sciences and Engineering. ABCM, 2020. http://dx.doi.org/10.26678/abcm.encit2020.cit20-0233.

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2

Dongmo, G., B. Braconnier, C. Preux, Q. Tran, and C. Berthon. "Glimm and Finite Volume Schemes for Polymer Flooding Model with and Without Inaccessible Pore Volume Law." In ECMOR XVII. European Association of Geoscientists & Engineers, 2020. http://dx.doi.org/10.3997/2214-4609.202035090.

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