Relevant bibliographies by topics / Hyperbolic balance laws

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
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Academic literature on the topic 'Hyperbolic balance laws'

Author: Grafiati
Published: 6 September 2023
Last updated: 31 July 2025

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Journal articles on the topic "Hyperbolic balance laws"

1

Dafermos, Constantine. "Hyperbolic balance laws with relaxation." Discrete and Continuous Dynamical Systems 36, no. 8 (2016): 4271–85. http://dx.doi.org/10.3934/dcds.2016.36.4271.

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Miroshnikov, Alexey, and Konstantina Trivisa. "Stability and convergence of relaxation schemes to hyperbolic balance laws via a wave operator." Journal of Hyperbolic Differential Equations 12, no. 01 (2015): 189–219. http://dx.doi.org/10.1142/s0219891615500058.

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This paper deals with relaxation approximations of nonlinear systems of hyperbolic balance laws. We introduce a class of relaxation schemes and establish their stability and convergence to the solution of hyperbolic balance laws before the formation of shocks, provided that we are within the framework of the compensated compactness method. Our analysis treats systems of hyperbolic balance laws with source terms satisfying a special mechanism which induces weak dissipation in the spirit of Dafermos [Hyperbolic systems of balance laws with weak dissipation, J. Hyp. Diff. Equations 3 (2006) 505–5
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DAFERMOS, CONSTANTINE M. "N-WAVES IN HYPERBOLIC BALANCE LAWS." Journal of Hyperbolic Differential Equations 09, no. 02 (2012): 339–54. http://dx.doi.org/10.1142/s0219891612500117.

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It is shown that, as time tends to infinity, solutions to the Cauchy problem for a class of genuinely nonlinear scalar balance laws attain N-wave profiles, when the initial data have compact support, or saw-toothed profiles, when the initial data are periodic. The amplitude and length of these waves results from the synergy between flux and source.
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DAFERMOS, CONSTANTINE M. "HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION II." Journal of Hyperbolic Differential Equations 10, no. 01 (2013): 173–79. http://dx.doi.org/10.1142/s0219891613500070.

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By extending the analysis in [C. M. Dafermos, Hyperbolic systems of balance laws with weak dissipation, J. Hyperbolic Differ. Equ.3 (2006) 505–527], this note constructs global BV solutions to the Cauchy problem for strictly hyperbolic systems of balance laws endowed with a convex entropy, under the assumption that the entropy production is positive definite.
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Abgrall, Rémi, Mauro Garavello, Mária Lukáčová-Medvid’ová, and Konstantina Trivisa. "Hyperbolic Balance Laws: Interplay between Scales and Randomness." Oberwolfach Reports 21, no. 1 (2024): 567–656. http://dx.doi.org/10.4171/owr/2024/10.

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Hyperbolic balance laws are fundamental in the mathematical modeling of transport-dominated processes in natural, socio-economic and engineering sciences. The aim of the workshop was to discuss open questions in the area of nonlinear hyperbolic conservation and balance laws. We have focused on a delicate interplay between scale hierarchies and random/stochastic effects and discuss them from analytical, numerical and modeling point of view. This leads to questions of admissibility criteria connecting to ill-posedness of weak entropy solutions, hyperbolic problems with non-local terms, mean fiel
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Abgrall, Rémi, Mauro Garavello, Mária Lukáčová-Medvid’ová, and Konstantina Trivisa. "Hyperbolic Balance Laws: modeling, analysis, and numerics." Oberwolfach Reports 18, no. 1 (2022): 589–661. http://dx.doi.org/10.4171/owr/2021/11.

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COLOMBO, RINALDO M., and ANDREA CORLI. "ON A CLASS OF HYPERBOLIC BALANCE LAWS." Journal of Hyperbolic Differential Equations 01, no. 04 (2004): 725–45. http://dx.doi.org/10.1142/s0219891604000317.

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Consider an n×n system of hyperbolic balance laws with coinciding shock and rarefaction curves. This note proves the well-posedness in the large of this system, provided there exists a domain that is invariant both with respect to the homogeneous conservation law and to the ordinary differential system generated by the right-hand side. No "non-resonance" hypothesis is assumed.
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Christoforou, Cleopatra, and Konstantina Trivisa. "Sharp decay estimates for hyperbolic balance laws." Journal of Differential Equations 247, no. 2 (2009): 401–23. http://dx.doi.org/10.1016/j.jde.2009.03.013.

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Falle, Samuel A., and Robin J. Williams. "Shock Structures Described by Hyperbolic Balance Laws." SIAM Journal on Applied Mathematics 79, no. 1 (2019): 459–76. http://dx.doi.org/10.1137/18m1216390.

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Sever, Michael. "Extensions of hyperbolic systems of balance laws." Continuum Mechanics and Thermodynamics 17, no. 6 (2006): 453–68. http://dx.doi.org/10.1007/s00161-006-0011-z.

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Dissertations / Theses on the topic "Hyperbolic balance laws"

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Sen, Chhanda. "Entropy stable numerical schemes for hyperbolic balance laws." Thesis, IIT Delhi, 2019. http://eprint.iitd.ac.in:80//handle/2074/8135.

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Ehrt, Julia [Verfasser]. "Cascades of heteroclinic connections in hyperbolic balance laws / Julia Ehrt." Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V, 2010. http://d-nb.info/1042738963/34.

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Ehrt, Julia [Verfasser]. "Cascades of heteroclinic connections in hyperbolic balance laws / Julia Michael Ehrt." Berlin : Freie Universität Berlin, 2010. http://nbn-resolving.de/urn:nbn:de:kobv:188-fudissthesis000000015791-0.

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Weldegiyorgis, Gediyon Yemane. "Numerical stabilization with boundary controls for hyperbolic systems of balance laws." Diss., University of Pretoria, 2016. http://hdl.handle.net/2263/60870.

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In this dissertation, boundary stabilization of a linear hyperbolic system of balance laws is considered. Of particular interest is the numerical boundary stabilization of such systems. An analytical stability analysis of the system will be presented as a preamble. A discussion of the application of the analysis on speci c examples: telegrapher equations, isentropic Euler equations, Saint-Venant equations and Saint-Venant-Exner equations is also presented. The rst order explicit upwind scheme is applied for the spatial discretization. For the temporal discretization a splitting techniqu
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ROSSI, ELENA. "Balance Laws: Non Local Mixed Systems and IBVPs." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2016. http://hdl.handle.net/10281/103090.

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Scalar hyperbolic balance laws in several space dimensions play a central role in this thesis. First, we deal with a new class of mixed parabolic-hyperbolic systems on all R^n: we obtain the basic well-posedness theorems, devise an ad hoc numerical algorithm, prove its convergence and investigate the qualitative properties of the solutions. The extension of these results to bounded domains requires a deep understanding of the initial boundary value problem (IBVP) for hyperbolic balance laws. The last part of the thesis provides rigorous estimates on the solution to this IBVP, under precise reg
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Mantri, Yogiraj Verfasser], Sebastian [Akademischer Betreuer] Noelle, and Michael [Akademischer Betreuer] [Herty. "Computing near-equilibrium solutions for hyperbolic balance laws on networks / Yogiraj Mantri ; Sebastian Noelle, Michael Herty." Aachen : Universitätsbibliothek der RWTH Aachen, 2021. http://d-nb.info/1228433038/34.

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Gerster, Stephan [Verfasser], Michael [Akademischer Betreuer] Herty, Martin [Akademischer Betreuer] Frank, and Simone [Akademischer Betreuer] Göttlich. "Stabilization and uncertainty quantification for systems of hyperbolic balance laws / Stephan Gerster ; Michael Herty, Martin Frank, Simone Göttlich." Aachen : Universitätsbibliothek der RWTH Aachen, 2020. http://d-nb.info/1216638136/34.

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Schmitt, Johann Michael [Verfasser]. "Optimal Control of Initial-Boundary Value Problems for Hyperbolic Balance Laws with Switching Controls and State Constraints / Johann Michael Schmitt." München : Verlag Dr. Hut, 2019. http://d-nb.info/1188516450/34.

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Tang, Ying. "Stability analysis and Tikhonov approximation for linear singularly perturbed hyperbolic systems." Thesis, Université Grenoble Alpes (ComUE), 2015. http://www.theses.fr/2015GREAT054/document.

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Les dynamiques des systèmes modélisés par des équations aux dérivées partielles (EDPs) en dimension infinie sont largement liées aux réseaux physiques. La synthèse de la commande et l'analyse de la stabilité de ces systèmes sont étudiées dans cette thèse. Les systèmes singulièrement perturbés, contenant des échelles de temps multiples sont naturels dans les systèmes physiques avec des petits paramètres parasitaires, généralement de petites constantes de temps, les masses, les inductances, les moments d'inertie. La théorie des perturbations singulières a été introduite pour le contrôle à la fin
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MARCELLINI, FRANCESCA. "Conservation laws in gas dynamics and traffic flow." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2009. http://hdl.handle.net/10281/7487.

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This PhD thesis is concerned with applications of nonlinear systems of conservation laws to gas dynamics and traffic flow modeling. The first part is devoted to the analytical description of a fluid flowing in a tube with varying cross section. We study the 2x2 model of the p-system and than, we extend the properties to the full 3x3 Euler system. We also consider a general nxn strictly hyperbolic system of balance laws; we study the Cauchy problem for this system and we apply this result to the fluid flow in a pipe wiyh varying section. Concerning traffic flow, we introduce a new macroscopic m
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Books on the topic "Hyperbolic balance laws"

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Bressan, Alberto, Denis Serre, Mark Williams, and Kevin Zumbrun. Hyperbolic Systems of Balance Laws. Edited by Pierangelo Marcati. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-72187-1.

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Bartecki, Krzysztof. Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27501-7.

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Albi, Giacomo, Walter Boscheri, and Mattia Zanella, eds. Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-29875-2.

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1956-, Bressan Alberto, Marcati P. A, and Centro internazionale matematico estivo, eds. Hyperbolic systems of balance laws: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14-21, 2003. Springer, 2007.

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Bartecki, Krzysztof. Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws. Springer, 2018.

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Bartecki, Krzysztof. Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws. Springer, 2015.

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Bartecki, Krzysztof. Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws. Springer London, Limited, 2016.

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Boscheri, Walter. Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems. Springer, 2023.

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Bressan, Alberto, Denis Serre, Kevin Zumbrun, Mark Williams, and Pierangelo Marcati. Hyperbolic Systems of Balance Laws: Lectures Given at the C. I. M. E. Summer School Held in Cetraro, Italy, July 14-21 2003. Springer London, Limited, 2007.

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Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: And Well-Balanced Schemes for Sources. Birkhäuser Boston, 2005.

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Book chapters on the topic "Hyperbolic balance laws"

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Bartecki, Krzysztof. "Hyperbolic Systems of Balance Laws." In Studies in Systems, Decision and Control. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-27501-7_2.

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Dafermos, Constantine M. "Hyperbolic Systems of Balance Laws." In Grundlehren der mathematischen Wissenschaften. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-49451-6_3.

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Dafermos, Constantine M. "Hyperbolic Systems of Balance Laws." In Grundlehren der mathematischen Wissenschaften. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-22019-1_3.

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Dafermos, Constantine M. "Hyperbolic Systems of Balance Laws." In Grundlehren der mathematischen Wissenschaften. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04048-1_3.

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Bastin, Georges, and Jean-Michel Coron. "Hyperbolic Systems of Balance Laws." In Stability and Boundary Stabilization of 1-D Hyperbolic Systems. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32062-5_1.

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Russo, Giovanni. "Central Schemes for Balance Laws." In Hyperbolic Problems: Theory, Numerics, Applications. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8372-6_35.

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Meister, Andreas, and Jens Struckmeier. "Central Schemes and Systems of Balance Laws." In Hyperbolic Partial Differential Equations. Vieweg+Teubner Verlag, 2002. http://dx.doi.org/10.1007/978-3-322-80227-9_2.

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Christoforou, Cleopatra. "On Hyperbolic Balance Laws and Applications." In Innovative Algorithms and Analysis. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49262-9_5.

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Giesselmann, Jan, Hrishikesh Joshi, Siegfried Müller, and Aleksey Sikstel. "Model Adaptation for Hyperbolic Balance Laws." In SEMA SIMAI Springer Series. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-55264-9_7.

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González de Alaiza Martínez, Pedro, and María Elena Vázquez-Cendón. "Operator-Splitting on Hyperbolic Balance Laws." In Advances in Differential Equations and Applications. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06953-1_27.

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Conference papers on the topic "Hyperbolic balance laws"

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Kitsos, Constantinos, Gildas Besancon, and Christophe Prieur. "High-Gain Observer Design for a Class of Hyperbolic Systems of Balance Laws." In 2018 IEEE Conference on Decision and Control (CDC). IEEE, 2018. http://dx.doi.org/10.1109/cdc.2018.8619291.

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Aloev, Rakhmatillo, and Dilfuza Nematova. "Lyapunov numerical stability of a hyperbolic system of linear balance laws with inhomogeneous coefficients." In INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0056862.

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Bartecki, Krzysztof. "Computation of transfer function matrices for 2×2 strongly coupled hyperbolic systems of balance laws." In 2013 Conference on Control and Fault-Tolerant Systems (SysTol). IEEE, 2013. http://dx.doi.org/10.1109/systol.2013.6693813.

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Bastin, Georges, Jean-Michel Coron, and Brigitte d'Andrea-Novel. "Boundary feedback control and Lyapunov stability analysis for physical networks of 2×2 hyperbolic balance laws." In 2008 47th IEEE Conference on Decision and Control. IEEE, 2008. http://dx.doi.org/10.1109/cdc.2008.4738857.

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Nourgaliev, Robert, Nam Dinh, and Theo Theofanous. "A Characteristics-Based Approach to the Numerical Solution of the Two-Fluid Model." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45551.

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This paper is concerned with numerical solutions of the two-fluid models of two-phase flow. The two-fluid modeling approach is based on the effective-field description of inter-penetrating continua and uses constitutive laws to account for the inter-field interactions. The effective-field balance equations are derived by a homogenization procedure and known to be non-hyperbolic. Despite their importance and widespread application, predictions by such models have been hampered by numerical pitfalls manifested in the formidable challenge to obtain convergent numerical solutions under computation
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Bertaglia, Giulia. "Augmented fluid-structure interaction systems for viscoelastic pipelines and blood vessels." In VI ECCOMAS Young Investigators Conference. 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 devel
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Tirimisiyu, Adeniyi Adekunle, and Anselm Iuebego Igbafe. "Proven, Probable, Possible, and Contingent Natural Gas Reserves: A Concise and Holistic Review of Major Critical Developmental Steps." In SPE Nigeria Annual International Conference and Exhibition. SPE, 2024. http://dx.doi.org/10.2118/221618-ms.

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Abstract Petroleum Motor Spirit, PMS, product subsidy removal in Nigeria has led to a significant increase in commodity prices in the market. Other African countries, notably South Africa and Senegal, have faced and are still facing energy deficit-related crises. Some causes of energy-related problems in Africa included dysfunctional refineries in Nigeria, inadequate energy planning for economic growth, social advancement in South Africa, and exponential population growth. Despite all these energy-related problems, gas flaring persists in Africa. To solve the energy problems as identified, inv
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El-Ghobashy, Ibrahim M., Mohamed H. M. Sayyouh, M. Abu El Ela, and Ahmed H. El-Banbi. "Gas Wells Production Forecast Using Artificial and Recurrent Neural Networks Models and Comparison with Traditional Decline Curve Analysis Techniques." In Mediterranean Offshore Conference. SPE, 2024. http://dx.doi.org/10.2118/223264-ms.

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Abstract Accurate production forecasting is crucial for effective reservoir management and field development planning. Traditional methods; such as numerical simulation, material balance equations coupled with well models, and advanced decline curve analysis (DCA) require extensive data and involve tradeoffs between accuracy and complexity. Recently, deep learning techniques, specifically artificial neural network (ANN) and recurrent neural network (RNN) models have demonstrated promising performance in this domain. This study applies ANN and RNN for production forecasting and compares their e
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