Relevant bibliographies by topics / Backward Euler Method

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

Academic literature on the topic 'Backward Euler Method'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Backward Euler Method"

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Soomro, Paras, Israr Ahmed, Faraz Ahmed Soomro, and Darshan Mal. "Numerical Simulation Model of the Infectious Diseases by Comparing Backward Euler Method and Adams-Bash forth 2-Step Method." VFAST Transactions on Mathematics 12, no. 1 (2024): 402–14. http://dx.doi.org/10.21015/vtm.v12i1.1881.

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In this work, the Backward Euler technique and the Adams-Bashforth 2-step method—two numerical approaches for solving the SIR model of epidemiology are compared for performance. An essential resource for comprehending the transmission of infectious illnesses like COVID-19 in the SIR model. While the explicit Adams-Bash forth 2-step approach is well known for its computing efficiency, the implicit Backward Euler method is noted for its stability. The study evaluates the accuracy, strength, and computing cost of the two approaches to determine which approach is best for simulating the spread of
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Nguyen, Anh Tan. "Comparative Study of Discretization Methods for Non-Ideal Proportional-Resonant Controllers in Voltage Regulation of Three-Phase Four-Wire Converters with Vehicle-to-Home Mode." World Electric Vehicle Journal 16, no. 6 (2025): 335. https://doi.org/10.3390/wevj16060335.

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Vehicle-to-home (V2H) technology enables electric vehicles (EVs) to supply power to residential loads, offering enhanced energy self-sufficiency and backup capabilities. Accurate voltage regulation is essential in such systems, especially under nonlinear and time-varying load conditions. The control method for three-phase four-wire (3P4W) converters plays a vital role in addressing these challenges. In the control configuration of such systems, the non-ideal proportional-resonant (PR) controller stands out due to its ability to reject periodic disturbances. However, the comprehensive study on
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Peskin, Charles S., and Tamar Schlick. "Molecular dynamics by the Backward-Euler method." Communications on Pure and Applied Mathematics 42, no. 7 (1989): 1001–31. http://dx.doi.org/10.1002/cpa.3160420706.

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Botchev, Mikhail Aleksandrovich, and Victor Timofeevich Zhukov. "Exponential Euler and backward Euler methods for nonlinear heat conduction problems." Keldysh Institute Preprints, no. 69 (2023): 1–16. http://dx.doi.org/10.20948/prepr-2023-69.

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In this paper a variant of nonlinear exponential Euler scheme is proposed for solving nonlinear heat conduction problems. The method is based on nonlinear iterations where at each iteration a linear initial-value problem has to be solved. We compare this method to the backward Euler method combined with nonlinear iterations. For both methods we show monotonicity and boundedness of the solutions and give sufficient conditions for convergence of the nonlinear iterations. Numerical tests are presented to examine performance of the two schemes. The presented exponential Euler scheme is implemented
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Avila-Becerril, Sofia, Alejandro Garcés-Ruiz, and Gerardo Espinosa-Pérez. "Discretization of Models for Electrical Microgrids Preserving Passivity Properties." Memorias del Congreso Nacional de Control Automático 7, no. 1 (2024): 173–78. https://doi.org/10.58571/cnca.amca.2024.030.

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This paper presents a Hamiltonian model of a direct current microgrid consisting of rectifiers connected in parallel in closed-loop with a Droop-type power-sharing algorithm. The main contribution is to demonstrate that a discretization using the backward Euler method preserves the microgrid’s Hamiltonian structure and passivity properties with a simple implementation of the method. The results are numerically evaluated by comparing the backward and forward Euler methods.
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Yu, Zhanhua, and Mingzhu Liu. "Almost Surely Asymptotic Stability of Numerical Solutions for Neutral Stochastic Delay Differential Equations." Discrete Dynamics in Nature and Society 2011 (2011): 1–11. http://dx.doi.org/10.1155/2011/217672.

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We investigate the almost surely asymptotic stability of Euler-type methods for neutral stochastic delay differential equations (NSDDEs) using the discrete semimartingale convergence theorem. It is shown that the Euler method and the backward Euler method can reproduce the almost surely asymptotic stability of exact solutions to NSDDEs under additional conditions. Numerical examples are demonstrated to illustrate the effectiveness of our theoretical results.
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Sumithra, B., and A. Tamilselvan. "Numerical solution of stiff system by backward Euler method." Applied Mathematical Sciences 9 (2015): 3303–11. http://dx.doi.org/10.12988/ams.2015.54317.

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Tian, Zhikun, Yanping Chen, and Jianyun Wang. "Two-Grid Method for a Fully Discrete Mixed Finite Element Solution of the Time-Dependent Schrödinger Equation." Mathematics 11, no. 14 (2023): 3127. http://dx.doi.org/10.3390/math11143127.

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We study the backward Euler fully discrete mixed finite element method for the time-dependent Schrödinger equation; the error result of the mixed finite element solution is obtained in the L2-norm with order O(τ+hk+1). Then, a two-grid method is presented with a backward Euler fully discrete scheme. Using this method, we solve the original problem on a much coarser grid and solve elliptic equations on a fine grid. In addition, the error of the two-grid solution is also obtained in the L2-norm with order O(τ+hk+1+Hk+2). The numerical experiment is provided to demonstrate the efficiency of the a
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Thomée, Vidar. "A Finite Element Splitting Method for a Convection-Diffusion Problem." Computational Methods in Applied Mathematics 20, no. 4 (2020): 717–25. http://dx.doi.org/10.1515/cmam-2020-0128.

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AbstractFor a spatially periodic convection-diffusion problem, we analyze a time stepping method based on Lie splitting of a spatially semidiscrete finite element solution on time steps of length k, using the backward Euler method for the diffusion part and a stabilized explicit forward Euler approximation on {m\geq 1} intervals of length {k/m} for the convection part. This complements earlier work on time splitting of the problem in a finite difference context.
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Slodička, Marián, and Edita Janíková. "Convergence of the backward Euler method for type-II superconductors." Journal of Mathematical Analysis and Applications 342, no. 2 (2008): 1026–37. http://dx.doi.org/10.1016/j.jmaa.2007.12.043.

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Dissertations / Theses on the topic "Backward Euler Method"

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Tantardini, F. "QUASI-OPTIMALITY IN THE BACKWARD EULER-GALERKIN METHOD FOR LINEAR PARABOLIC PROBLEMS." Doctoral thesis, Università degli Studi di Milano, 2014. http://hdl.handle.net/2434/229462.

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We analyse the backward Euler-Galerkin method for linear parabolic problems, looking for quasi-optimality results in the sense of Céa's Lemma. We cast the problem into the framework given by the inf-sup theory, and we analyse the spatial discretization, the discretization in time and the topic of varying the spatial discretization separately. Concerning the spatial discretization, we prove the the H1-stability of the L2-projection is also a necessary condition for quasi-optimality, both in the H1(H-1)∩L2(H1)-norm and in the L2(H1)-norm. Concerning the discretization in time, we prove that
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Horsin, Romain. "Comportement en temps long d'équations de type Vlasov : études mathématiques et numériques." Thesis, Rennes 1, 2017. http://www.theses.fr/2017REN1S062/document.

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Cette thèse porte sur le comportement en temps long de solutions d’équations de type Vlasov, principalement le modèle Vlasov-HMF. On s’intéresse en particulier au phénomène d’amortissement Landau, prouvé mathématiquement dans divers cadres, pour plusieurs équations de type Vlasov, comme l’équation de Vlasov-Poisson ou le modèle Vlasov-HMF, et présentant certaines analogies avec le phénomène d’amortissement non visqueux pour l’équation d’Euler 2D. Les résultats qui y sont décrits sont les suivants. Le premier est un théorème d’amortissement Landau pour des solutions numériques du modèle Vlasov-
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Book chapters on the topic "Backward Euler Method"

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"The backward Euler method and the trapezoidal method." In Numerical Solution of Ordinary Differential Equations. John Wiley & Sons, Inc., 2011. http://dx.doi.org/10.1002/9781118164495.ch4.

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Abid Sabawi, Younis. "A Posteriori Error Analysis in Finite Element Approximation for Fully Discrete Semilinear Parabolic Problems." In Finite Element Methods and Their Applications [Working Title]. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.94369.

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This Chapter aims to investigate the error estimation of numerical approximation to a class of semilinear parabolic problems. More specifically, the time discretization uses the backward Euler Galerkin method and the space discretization uses the finite element method for which the meshes are allowed to change in time. The key idea in our analysis is to adapt the elliptic reconstruction technique, introduced by Makridakis and Nochetto 2003, enabling us to use the a posteriori error estimators derived for elliptic models and to obtain optimal order in L∞H1 for Lipschitz and non-Lipschitz nonlin
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G. Gheorghe, Alexandru, and Mihai E. Marin. "Electrical Circuits as Dynamical Systems." In Qualitative and Computational Aspects of Dynamical Systems [Working Title]. IntechOpen, 2022. http://dx.doi.org/10.5772/intechopen.105780.

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An electrical circuit containing at least one dynamic circuit element (inductor or capacitor) is an example of a dynamic system. The behavior of inductors and capacitors is described using differential equations in terms of voltages and currents. The resulting set of differential equations can be rewritten as state equations in normal form. The eigenvalues of the state matrix can be used to verify the stability of the circuit. The most fitted numerical methods to integrate electrical circuit differential equations are the Euler Method (Forward and Backward), the Trapezoidal Rule, and the Gear
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THOMÉE, VIDAR, and NAI-YING ZHANG. "BACKWARD EULER TYPE METHODS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH DATA." In Contributions in Numerical Mathematics. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789812798886_0029.

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"Backward-Euler stress update algorithm for the original Cam-clay model with the vertex singularity." In Prediction and Simulation Methods for Geohazard Mitigation. CRC Press, 2009. http://dx.doi.org/10.1201/noe0415804820-32.

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Ohta, H., M. Khosravi, and T. Pipatpongsa. "Backward-Euler stress update algorithm for the original Cam-clay model with the vertex singularity." In Prediction and Simulation Methods for Geohazard Mitigation. CRC Press, 2009. http://dx.doi.org/10.1201/noe0415804820.ch27.

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Conference papers on the topic "Backward Euler Method"

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Gangopadhyay, Soumyajit, and Nilanjan Ray Chaudhuri. "Analysis of Backward Euler Method in Presence of Saturation Nonlinearity and Applications in Power Systems Simulation." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10886805.

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Wang, Junyi, and Qijun Zhao. "Effects of Structural Properties on Rotor Airloads Prediction Based on CFD/CSD Coupling Method." In Vertical Flight Society 70th Annual Forum & Technology Display. The Vertical Flight Society, 2014. http://dx.doi.org/10.4050/f-0070-2014-9549.

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For accurate aeroelastic analysis, the unsteady rotor flowfield is solved by Computational Fluid Dynamics (CFD) module based on RANS/Euler equations and moving-embedded grid system, while Computational Structural Dynamics (CSD) module is introduced to handle blade flexibility. In CFD module, dual time-stepping algorithm is employed in temporal discretization, JST scheme is adopted in spatial discretization and B-L turbulent model is used to introduce the viscous effect. The CSD module is developed based on Hamilton's variational principles, moderate deflection beam theory and advanced geometri
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Yadav, Sangita, Soumyarani Mishra, and Ambit K. Pany. "Backward Euler method for 2D Sobolev equation with Burgers’ type non-linearity." In RECENT TRENDS IN APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0141014.

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Yang, Hua, Jianguo Liu, Yi Liu, and Xiaofeng Yue. "Backward Euler-Maruyama method for a class of stochastic Markovian jump neural networks." In Ninth International Symposium on Multispectral Image Processing and Pattern Recognition (MIPPR2015), edited by Tianxu Zhang and Jianguo Liu. SPIE, 2015. http://dx.doi.org/10.1117/12.2230042.

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Xiong, Xiaogang, Ryo Kikuuwe, and Motoji Yamamoto. "Backward-Euler Discretization of Second-Order Sliding Mode Control and Super-Twisting Observer for Accurate Position Control." In ASME 2013 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/dscc2013-3872.

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This paper introduces an accurate position control algorithm based on Backward-Euler discretization of a second-order sliding mode control (SOSMC) and the super-twisting observer (STO). This position control algorithm does not produce numerical chattering, which has been known to be a major drawback of explicit implementation of SOSMC and STO. It is more accurate than the conventional PID control that is also free of chattering. In contrast to conventional Backward-Euler discretization schemes of SOSMC and STO, the presented discretization method does not require any special solvers for comput
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Qu, Xiaomei. "On delay-dependent exponential stability of the split-step backward euler method for stochastic delay differential equations." In 2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP). IEEE, 2015. http://dx.doi.org/10.1109/icicip.2015.7388155.

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Kim, Young Jun, Benjamin Bouscasse, Sopheak Seng, and David Le Touze. "Numerical Study on the Temporal Discretization Schemes in Two-Phase Wave Simulation." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-96278.

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Abstract The generation and propagation of waves in a viscous flow solver are indispensable part of naval computational fluid dynamic (CFD) applications. This paper presents numerical simulations of two-dimensional wave propagation in the framework of two-phase finite volume method (FVM) with different temporal discretization schemes. Implicit Euler, Crank-Nicolson (CN) and second-order backward temporal discretization schemes are compared by using viscous flow solver based on the open source library OpenFOAM. The combinations of each temporal discretization scheme and explicit limiter are use
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Muldoon, Frank, and Sumanta Acharya. "Mass Conservation in the Immersed Boundary Method." In ASME 2005 Fluids Engineering Division Summer Meeting. ASMEDC, 2005. http://dx.doi.org/10.1115/fedsm2005-77301.

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The immersed boundary approach for the modeling of complex geometries in incompressible flows is examined critically from the perspective of satisfying boundary conditions and mass conservation. The system of discretized equations for mass and momentum can be inconsistent if the real velocities are used in defining the forcing terms used to satisfy the boundary conditions. As a result, the velocity is generally not divergence free and the pressure at locations in the vicinity of the immersed boundary is not physical. However, the use of the pseudo velocities in defining the forcing (as frequen
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Zhao, Wenbo, Zhumin Jiang, Liangzi Wang, et al. "Application of the Dynamic Rod Worth Measurement Method on WWER." In 2018 26th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/icone26-81055.

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The dynamic rod worth measurement method, which is used widely for PWR with square geometry lattices, is applied on WWER type reactor with hexagonal geometry lattices. RTNP code is developed to calculate the static spatial factors (SSF) and the dynamic spatial factors (DSF) through simulating the 3D space-time neutron dynamics and the response of excore detector during the measurement process. The improved quasi-static method is used for temporal discretization. The time-dependent shape equation is then transferred to a fixed source problem through backward Euler formula. And Multi-group Monte
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Tu, Tianxiong, Guoping Wang, Xiaoting Rui, Jianshu Zhang, and Xiangzhen Zhou. "Implicit Algorithm for Riccati Transfer Matrix Method for Multibody Systems." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85675.

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Rui method, namely the transfer matrix method for multibody systems (MSTMM) is a new and efficient method for multibody system dynamics (MSD) for its features as follows: without global dynamics equations of the system, high programming, low order of system matrix and high computational speed. Riccati transfer matrix method for multibody systems was developed by introducing Riccati transformation in MSTMM, for improving numerical stability of MSTMM. In this paper, based on Riccati MSTMM, applying the thought of direct differentiation method, by differentiation of Riccati transfer equations of
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