Relevant bibliographies by topics / Euler's Method

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

Academic literature on the topic 'Euler's Method'

Author: Grafiati
Published: 4 June 2021
Last updated: 26 July 2025

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Journal articles on the topic "Euler's Method"

1

Singh, Ravindra, Omwati Rana, Yogesh Kumar sharma, and Shiv Shankar Gaur. "Numerical Approximation Methods and Comparison with RK-4 Method for a Linear Differential Equation with Initial Conditions Using Scilab 6.1.1." Current Natural Sciences and Engineering 1, no. 6 (2024): 471–79. https://doi.org/10.63015/5c-2447.1.6.

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Numerical approximation methods have been developed to linear differential equation with initial condition. The comparison of the results has been done among Euler’s method, modified Euler’s method and RK-4 with the help of Scilab software 6.1.1. RK-4 method is effective enough to reach more accuracy in the result. The Runge-Kutta method attempts to overcome the problem of the Euler's method, and modified Euler's method and the study shows that in all cases RK-4 method improves to a great extent, than those by the Euler method and Modified Euler’s Method. For RK-4 the approximation accuracy is
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A. Hari Ganesh. "An Enhanced Euler's Methods Based on Heronian and Cubic Means for Numerically Solving Fuzzy Differential Equations." Advances in Nonlinear Variational Inequalities 28, no. 4s (2025): 431–52. https://doi.org/10.52783/anvi.v28.3501.

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Introduction: In recent years, fuzzy differential equations have become an increasingly popular topic. In engineering and scientific fields, the study of numerical solutions for fuzzy differential equations is crucial. For the purpose of solving fuzzy initial value problems, several numerical approaches have been devised. Objectives: This attempt aims to create enhanced Euler's methods for numerically solving fuzzy differential equations to generate approximate solutions for situations too complex to be expressed precisely. Methods: Euler's Method, Modified Euler's Method, and Improved Euler's
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Albertino de Jesus. "Collaboration Between Private Universities and the Government in Advancing Human Resources Based on the "Spirit of Maubereism" in Timor-Leste." Communications on Applied Nonlinear Analysis 32, no. 8s (2025): 285–301. https://doi.org/10.52783/cana.v32.3671.

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Objectives: Fuzzy differential equations (FDEs) are crucial for modeling dynamic systems in science, economics, and engineering due to their unpredictable nature and the need for numerical methods for precise solutions. The objective of this work is to develop improved Euler's techniques for numerically solving fuzzy differential equations (FDEs) in order to produce approximate solutions for problems that are too complicated to be stated exactly. Methods: This study proposes improved Euler's approaches for solving differential equations with fuzzy initial conditions, including Euler's Method,
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A. Hari Ganesh. "A Numerical Approach for Solving Fuzzy Differential Equation Using Enhanced Euler’s Methods Based on Contra Harmonic Mean and Centroidal Mean." Communications on Applied Nonlinear Analysis 32, no. 8s (2025): 271–84. https://doi.org/10.52783/cana.v32.3670.

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Objectives: Fuzzy differential equations (FDEs) are crucial for modeling dynamic systems in science, economics, and engineering due to their unpredictable nature and the need for numerical methods for precise solutions. The objective of this work is to develop improved Euler's techniques for numerically solving fuzzy differential equations (FDEs) in order to produce approximate solutions for problems that are too complicated to be stated exactly. Methods: This study proposes improved Euler's approaches for solving differential equations with fuzzy initial conditions, including Euler's Method,
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LAWSON, D. A. "Potential Perils of Euler's Method." Teaching Mathematics and its Applications 14, no. 2 (1995): 83–85. http://dx.doi.org/10.1093/teamat/14.2.83.

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Sălăjan (Pomian), Raluca Anamaria. "The convergence of the Euler's method." Journal of Numerical Analysis and Approximation Theory 39, no. 1 (2010): 87–92. http://dx.doi.org/10.33993/jnaat391-922.

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In this article we study the Euler's iterative method. For this method we give a global theorem of convergence. In the last section of the paper we give a numerical example which illustrates the result exposed in this work.
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Byers, R. M. "Time Optimal Attitude Control of Asymmetric Rigid Spacecraft." Journal of Vibration and Control 2, no. 1 (1996): 17–32. http://dx.doi.org/10.1177/107754639600200102.

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Time optimal rest-to-rest reorientation of a rigid spacecraft with an arbitrary initial attitude and distinct principal moments of inertia is discussed. The effect of the gyroscopic coupling terms in Euler's equations on the control switch times is shown. A method for recursively generating coefficients for a truncated Taylor series solution of Euler's equations and the differential equations for the Euler parameter state transition matrix is shown. These solutions are used to solve for the optimal control switch times.
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Domokos, G., and P. Holmes. "Euler's problem, Euler's method, and the standard map; or, the discrete charm of buckling." Journal of Nonlinear Science 3, no. 1 (1993): 109–51. http://dx.doi.org/10.1007/bf02429861.

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Domokos, G., and P. Holmes. "Euler's problem, Euler's method, and the standard map; or, the discrete charm of buckling." Journal of Nonlinear Science 3, no. 1 (1993): 267. http://dx.doi.org/10.1007/bf02429866.

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Borges, Carlos F. "Discretization vs. Rounding Error in Euler's Method." College Mathematics Journal 42, no. 5 (2011): 396–99. http://dx.doi.org/10.4169/college.math.j.42.5.396.

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Dissertations / Theses on the topic "Euler's Method"

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Yildirim, B. Gazi. "A global preconditioning method for the Euler equations." Master's thesis, Mississippi State : Mississippi State University, 2003. http://library.msstate.edu/etd/show.asp?etd=etd-07152003-164237.

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Voonna, Kiran. "Development of discontinuous galerkin method for 1-D inviscid burgers equation." ScholarWorks@UNO, 2003. http://louisdl.louislibraries.org/u?/NOD,75.

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Thesis (M.S.)--University of New Orleans, 2003.<br>Title from electronic submission form. "A thesis ... in partial fulfillment of the requirements for the degree of Master of Science in the Department of Mechanical Engineering"--Thesis t.p. Vita. Includes bibliographical references.
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Brock, Jerry S. "A consistent direct-iterative inverse design method for the Euler equations." Diss., Virginia Tech, 1993. http://hdl.handle.net/10919/40033.

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A new, consistent direct-iterative method is proposed for the solution of the aerodynamic inverse design problem. Direct-iterative methods couple analysis and shape modification methods to iteratively determine the geometry required to support a target surface pressure. The proposed method includes a consistent shape modification method wherein the identical governing equations are used in both portions of the design procedure. The new shape modification method is simple, having been developed from a truncated, quasi-analytical Taylor's series expansion of the global governing equations. This
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Ramos, Manoel Wallace Alves. "Métodos de Euler e Runge-Kutta: uma análise utilizando o Geogebra." Universidade Federal da Paraíba, 2017. http://tede.biblioteca.ufpb.br:8080/handle/tede/9381.

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Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-09-01T13:56:46Z No. of bitstreams: 1 arquivototal.pdf: 3239292 bytes, checksum: 8279cebbf86db2bb4db05f382688e5c4 (MD5)<br>Approved for entry into archive by Viviane Lima da Cunha (viviane@biblioteca.ufpb.br) on 2017-09-01T15:59:49Z (GMT) No. of bitstreams: 1 arquivototal.pdf: 3239292 bytes, checksum: 8279cebbf86db2bb4db05f382688e5c4 (MD5)<br>Made available in DSpace on 2017-09-01T15:59:49Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 3239292 bytes, checksum: 8279cebbf86db2bb4db05f382688e5c4 (MD5) Previous issue date: 2
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Tam, Laying. "The general Euler-Borel summability method /." The Ohio State University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487683756124139.

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Helin, Mikael. "Inverse Parameter Estimation using Hamilton-Jacobi Equations." Thesis, KTH, Numerisk analys, NA, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-123092.

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Inthis degree project, a solution on a coarse grid is recovered by fitting apartial differential equation to a few known data points. The PDE to consideris the heat equation and the Dupire’s equation with their synthetic data,including synthetic data from the Black-Scholes formula. The approach to fit aPDE is by optimal control to derive discrete approximations to regularized Hamiltoncharacteristic equations to which discrete stepping schemes, and parameters forsmoothness, are examined. By non-parametric numerical implementation thedervied method is tested and then a few suggestions on possibl
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Artale, Valeria. "Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations." Doctoral thesis, Università di Catania, 2012. http://hdl.handle.net/10761/1106.

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The present work is devoted to the study of free boundary problems for Euler and Navier-Stokes equations in primitive variables. The goal of the present work is to elaborate a methodology for numerical modeling of all kinds of incompressible viscous fluids, having in mind possible application to deep water, lava flow simulation and crust formation. Our approach could be essentially divided in three fundamental components: finite difference for spatial approximation, second order accurate method for temporal discretization and level set methods for boundary representation. The domain i
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Kurz, Dominik [Verfasser]. "Numerische Simulation industrieller Rostfeuerungen nach der Euler-Euler Methode / Dominik Kurz." Aachen : Shaker, 2014. http://d-nb.info/1066196338/34.

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Rückert, Frank. "Simulation von Festbettreaktoren zur technischen Verbrennung mit der Euler-Euler-Methode /." Düsseldorf : VDI-Verl, 2007. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=015625261&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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Rückert, Frank. "Simulation von Festbettreaktoren zur technischen Verbrennung mit der Euler/Euler-Methode." [S.l. : s.n.], 2005. http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-29685.

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Books on the topic "Euler's Method"

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Salacka, Thomas Francis. Review, implementation and test of the QAZID computational method with a view to wave rotor applications. Naval Postgraduate School, 1985.

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Ibragimov, Nail H. Selected works: Equivalence groups and invariants of differential equations. Extension of Euler's method to parabolic equations. Invariant and formal Lagrangians. Conservation law. ALGA Publications, 2009.

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United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch., ed. Implicit methods for computing chemically reacting flow. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1987.

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Huynh, Hung T. Accurate upwind methods for the Euler equations. National Aeronautics and Space Administration, 1993.

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Cockburn, B. The P¹-RKDG method for two-dimensional Euler equations of gas dynamics. National Aeronautics and Space Administration, Langley Research Center, 1991.

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Cockburn, B. The P¹-RKDG method for two-dimensional Euler equations of gas dynamics. National Aeronautics and Space Administration, Langley Research Center, 1991.

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Cockburn, B. The P¹-RKDG method for two-dimensional Euler equations of gas dynamics. National Aeronautics and Space Administration, Langley Research Center, 1991.

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Center, Lewis Research, ed. An efficient method for solving the steady Euler equations. National Aeronautics and Space Administration, Lewis Research Center, 1986.

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Center, Langley Research, ed. Canonical-variables multigrid method for steady-state Euler equation. National Aeronautics and Space Administration, Langley Research Center, 1994.

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Ta'asan, Shlomo. Canonical-variables multigrid method for steady-state Euler equations. Langley Research Center, 1994.

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Book chapters on the topic "Euler's Method"

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Zobitz, John M. "Euler's Method." In Exploring Modeling with Data and Differential Equations Using R. Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9781003286974-4.

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Price, H. L., and G. R. Walsh. "A Canonical Form of Euler'S Equations and a Method of Solution for Arbitrary Applied Couples." In Stereodynamics. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-10991-1_5.

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Griffiths, David F., and Desmond J. Higham. "Euler’s Method." In Numerical Methods for Ordinary Differential Equations. Springer London, 2010. http://dx.doi.org/10.1007/978-0-85729-148-6_2.

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Campbell-Kelly, Martin. "An Account of Euler's Method of Solving a Problem, Relative to the Move of the Knight at the Game of Chess." In The Works of Charles Babbage Vol 1. Routledge, 2024. http://dx.doi.org/10.4324/9781003549161-14.

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Packel, Ed, and Stan Wagon. "Differential Equations and Euler’s Method." In Animating Calculus. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-2408-2_15.

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Georgiev, Svetlin G., and Khaled Zennir. "The Euler Method." In General Quantum Numerical Analysis. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781003472131-7.

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Tournès, Dominique. "A Graphical Approach to Euler’s Method." In Let History into the Mathematics Classroom. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57150-8_7.

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Le Coënt, A., J. Alexandre dit Sandretto, A. Chapoutot, L. Fribourg, F. De Vuyst, and L. Chamoin. "Distributed Control Synthesis Using Euler’s Method." In Lecture Notes in Computer Science. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-67089-8_9.

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Khan, Muhammad Altaf, and Abdon Atangana. "Fractal-Fractional Euler Method." In Numerical Methods for Fractal-Fractional Differential Equations and Engineering. CRC Press, 2023. http://dx.doi.org/10.1201/9781003359258-8.

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Christensen, Douglas A. "Euler’s Method and First-Order Time Constants." In Introduction to Biomedical Engineering. Springer International Publishing, 2009. http://dx.doi.org/10.1007/978-3-031-01636-3_6.

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Conference papers on the topic "Euler's Method"

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Bayro-Corrochano, Eduardo, and Daniel Alvarado-Mejia. "Newton-Euler Modeling of Robot Dynamics Using Geometric Algebra." In 2024 28th International Conference on Methods and Models in Automation and Robotics (MMAR). IEEE, 2024. http://dx.doi.org/10.1109/mmar62187.2024.10680766.

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Kim, MiHyeon, Juhyoung Park, and YoungBin Kim. "IM-BERT: Enhancing Robustness of BERT through the Implicit Euler Method." In Proceedings of the 2024 Conference on Empirical Methods in Natural Language Processing. Association for Computational Linguistics, 2024. http://dx.doi.org/10.18653/v1/2024.emnlp-main.907.

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Sami Abdullah, Ali. "Study of the Runge-Kutta Scheme for Random Differential Equations." In XII. International Scientific Congress of Pure, Applied and Technological Sciences. Rimar Academy, 2024. https://doi.org/10.47832/minarcongress12-17.

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Numerical methods are methodologies that use purely algebraic and arithmetic techniques to approximately solve complex equations or systems of equations, which analytically are very difficult or even impossible to solve. The slow convergence of Euler's method and the restrictedness of its region of absolute stability leads us to consider methods of higher order to attain the convergence of the solution. At each step, Euler's method moves along the tangent of a certain curve that is “close” to the unknown or sought curve. Because of the method’s insufficiency, studying the Runge-Kutta methods t
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Jerray, Jawher, Laurent Fribourg, and Etienne Andre. "Robust optimal periodic control using guaranteed Euler's method." In 2021 American Control Conference (ACC). IEEE, 2021. http://dx.doi.org/10.23919/acc50511.2021.9482621.

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A. Whaler, K., C. Neil, and A. B. Reid. "Extensions to Euler's method for three-dimensional potential field interpretation." In 53rd EAEG Meeting. European Association of Geoscientists & Engineers, 1991. http://dx.doi.org/10.3997/2214-4609.201410948.

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Mohamad, M. A. H., S. Basri, and B. Basuno. "One-dimensional high-order compact method for solving Euler's equations." In THE 4TH INTERNATIONAL MEETING OF ADVANCES IN THERMOFLUIDS (IMAT 2011). AIP, 2012. http://dx.doi.org/10.1063/1.4704291.

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Cantuba, Jan Queency O., April Rose Garcia, John Steven Lindog, and Jan Reymond Fresnido. "Cooling of an Electronics Component like Graphics Processing Unit Using Euler's Method as Application of Numerical Methods." In SRC. University of Bahrain, 2023. https://doi.org/10.12785/src/1570966808.

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"Science and technology multiply around us. To an increasing extent, they dictate the languages in which we speak and think. Either we use those languages, or we remain mute." - J. G. Ballard. Electronic components like GPUs require efficient cooling to operate reliably and last. MATLAB is used to simulate and analyze an electronics component's cooling dynamics using Euler's method. A first-order ordinary differential equation models the GPU's temperature, cooling constant, and ambient temperature during cooling. The simulation divides time and estimates temperature iteratively using Euler's m
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Yuping Duan, Weimin Huang, Jiayin Zhou, Huibin Chang, and Tieyong Zeng. "A Two-Stage Image Segmentation Method Using Euler's Elastica Regularized Mumford-Shah Model." In 2014 22nd International Conference on Pattern Recognition (ICPR). IEEE, 2014. http://dx.doi.org/10.1109/icpr.2014.30.

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GROSSMAN, B. "A flux-vector split, finite-volume method for Euler's equations on non-mapped grids." In 26th Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics, 1988. http://dx.doi.org/10.2514/6.1988-227.

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Chavda, Kulvir Jaydeep. "Using the Drag Equation and Euler's Method in Python to Predict Model Rocket Flight Trajectories." In 2024 Regional Student Conferences, Region I - North East. American Institute of Aeronautics and Astronautics, 2024. http://dx.doi.org/10.2514/6.2024-84150.

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Reports on the topic "Euler's Method"

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Friedman, A. Partially-Corrected Euler Method for Solution of ODE's. Office of Scientific and Technical Information (OSTI), 2007. http://dx.doi.org/10.2172/922092.

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Berger, Marsha. Adaptive Methods for Euler Flows in Complex Geometries. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada329682.

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Chen, L. T., and T. Q. Dang. Improved Potential Flow Computational Methods with Euler Corrections for Airfoil and Wing/Body Design. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada192303.

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Srinivasan, Ganapathi R. A Free-Wake Euler and Navier-Stokes CFD Method and its Application to Helicopter Rotors Including Dynamic Stall. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada278000.

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Ryan, Emily. Development and Multiscale Validation of Euler-Lagrange based Computational Methods for Modeling Cavitation within Fuel Injectors. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1597430.

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Acharya, Sushant, William Chen, Marco Del Negro, et al. Estimating HANK for Central Banks. Federal Reserve Bank of New York, 2023. http://dx.doi.org/10.59576/sr.1071.

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We provide a toolkit for efficient online estimation of heterogeneous agent (HA) New Keynesian (NK) models based on Sequential Monte Carlo methods. We use this toolkit to compare the out-of-sample forecasting accuracy of a prominent HANK model, Bayer et al. (2022), to that of the representative agent (RA) NK model of Smets and Wouters (2007, SW). We find that HANK’s accuracy for real activity variables is notably inferior to that of SW. The results for consumption in particular are disappointing since the main difference between RANK and HANK is the replacement of the RA Euler equation with th
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AN INVESTIGATION ON THE EFFECT OF RANDOM PITTING CORROSION ON THE STRENGTH OF THE SUBSEA PIPELINE USING MONTE CARLO METHOD. The Hong Kong Institute of Steel Construction, 2024. http://dx.doi.org/10.18057/ijasc.2024.20.1.10.

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Pitting corrosion is normally distributed randomly along the pipeline, which is the source of the uncertainty affecting the ultimate bearing capacity of the submarine pipelines. So the Monte Carlo method is employed to study the effect of pitting corrosion on the upheaval buckling behavior of the pipeline. A corroded pipeline model with randomly distributed pitting corrosion is utilized to captures the intricate realities of corrosion scenarios. Multiple corrosion models with distinct artificial patterns have been meticulously crafted. Additionally, a new pipeline element based on Euler-Bernou
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