Relevant bibliographies by topics / Euler's Method

Contents

  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: 17 June 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Euler's Method.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

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.

Full text
Abstract:
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 proportional to the fourth power of the step size, thus making it a powerful and widely used numerical method also this method gives us higher accuracy without performing more calculations. Three different values of the step size have been taken. It is observed that smaller values of step size give better result; in all cases RK-4 method fits best as compared to others. The nature of the plot obtained by directly matches with the approximation solutions. It is observed that RK-4 method is suitable for obtaining the accurate solution of ODEs when the taken step sizes are too much small; since smaller h reduces the error.
APA, Harvard, Vancouver, ISO, and other styles
2

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.

Full text
Abstract:
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 Method using Heronian Mean and Cubic Mean are some of the enhanced Euler's techniques that this research seeks to provide. Utilising Zadeh's extension principle for fuzzy sets, we adapt Euler's traditional methods to tackle this dependency issue inside a fuzzy framework. Results: A numerical example contrasting the proposed methodologies with the conventional Euler's Method is presented. The efficacy of the proposed approaches is demonstrated by numerical solutions and their geometric representations. Moreover, the numerical example illustrates the satisfactory precision of the upgraded Euler methods. Conclusion: This research proposal aims to address first-order differential equations through two innovative methods: the Heronian Mean and Cubic Mean of enhanced Euler's approaches for fuzzy primary value. The proposed methods produce excellent outcomes and are efficient, precise, and user-friendly.
APA, Harvard, Vancouver, ISO, and other styles
3

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.

Full text
Abstract:
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, Modified Euler's Method, and Improved Euler's Method employing Contra Harmonic Mean and Centroidal Mean. Based on Zadeh's extension concept for fuzzy sets, we extend Euler's classical methods to address this dependence problem in a fuzzy setting. Findings: A numerical example that contrasts the suggested approaches with the traditional Euler's Method is provided. The efficiency of the suggested methods is shown by numerical solutions and their geometrical representations. Furthermore, the numerical example demonstrates the acceptable accuracy of the improved Euler's techniques. Novelty: In this research proposal, we sought to solve first-order differential equations utilizing two creative approaches: the Contra Harmonic Mean and the Centroidal Mean of enhanced Euler's approaches for fuzzy primary value. The suggested methods yield great results and are quick, accurate, and easy to use.
APA, Harvard, Vancouver, ISO, and other styles
4

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.

Full text
Abstract:
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, Modified Euler's Method, and Improved Euler's Method employing Contra Harmonic Mean and Centroidal Mean. Based on Zadeh's extension concept for fuzzy sets, we extend Euler's classical methods to address this dependence problem in a fuzzy setting. Findings: A numerical example that contrasts the suggested approaches with the traditional Euler's Method is provided. The efficiency of the suggested methods is shown by numerical solutions and their geometrical representations. Furthermore, the numerical example demonstrates the acceptable accuracy of the improved Euler's techniques. Novelty: In this research proposal, we sought to solve first-order differential equations utilizing two creative approaches: the Contra Harmonic Mean and the Centroidal Mean of enhanced Euler's approaches for fuzzy primary value. The suggested methods yield great results and are quick, accurate, and easy to use.
APA, Harvard, Vancouver, ISO, and other styles
5

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

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.

Full text
Abstract:
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.
APA, Harvard, Vancouver, ISO, and other styles
7

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.

Full text
Abstract:
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.
APA, Harvard, Vancouver, ISO, and other styles
8

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

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

1

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

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

Full text
Abstract:
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.
APA, Harvard, Vancouver, ISO, and other styles
3

Brock, Jerry S. "A consistent direct-iterative inverse design method for the Euler equations." Diss., Virginia Tech, 1993. http://hdl.handle.net/10919/40033.

Full text
Abstract:
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 method includes a unique solution algorithm and a design tangency boundary condition which directly relates the target pressure to shape modification. The new design method was evaluated with an upwind, cell-centered finite-volume formulation of the two-dimensional Euler equations. Controlled inverse design tests were conducted with a symmetric channel where the initial and target geometries were known. The geometric design variable was a channel-wall ramp angle, 0, which is nominally five degrees. Target geometries were defined with ramp angle perturbations of J10 = 2 %, 10%, and 20 %. The new design method was demonstrated to accurately predict the target geometries for subsonic, transonic, and supersonic test cases; M=0.30, 0.85, and 2.00. The supersonic test case efficiently solved the design tests and required very few iterations. A stable and convergent solution process was also demonstrated for the lower speed test cases using an under-relaxed geometry update procedure. The development and demonstration of the consistent direct-iterative method herein represent the important first steps required for a new research area for the advancement of aerodynamic inverse design methods.<br>Ph. D.
APA, Harvard, Vancouver, ISO, and other styles
4

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.

Full text
Abstract:
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: 2017-06-19<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>Is evident the importance of ordinary differential equations in modeling problems in several areas of science. Coupled with this, is increasing the use of numerical methods to solve such equations. Computers have become an extremely useful tool in the study of differential equations, since through them it is possible to execute algorithms that construct numerical approximations for solutions of these equati- ons. This work introduces the study of numerical methods for ordinary differential equations presenting the numerical Eulerºs method, improved Eulerºs method and the class of Runge-Kuttaºs methods. In addition, in order to collaborate with the teaching and learning of such methods, we propose and show the construction of an applet created from the use of Geogebm software tools. The applet provides approximate numerical solutions to an initial value problem, as well as displays the graphs of the solutions that are obtained from the numerical Eulerºs method, im- proved Eulerºs method, and fourth-order Runge-Kuttaºs method.<br>É evidente a importancia das equações diferenciais ordinarias na modelagem de problemas em diversas áreas da ciência, bem como o uso de métodos numéricos para resolver tais equações. Os computadores são uma ferramenta extremamente útil no estudo de equações diferenciais, uma vez que através deles é possível executar algo- ritmos que constroem aproximações numéricas para soluções destas equações. Este trabalho é uma introdução ao estudo de métodos numéricos para equações diferen- ciais ordinarias. Apresentamos os métodos numéricos de Euler, Euler melhorado e a classe de métodos de Runge-Kutta. Além disso, com o propósito de colaborar com o ensino e aprendizagem de tais métodos, propomos e mostramos a construção de um applet criado a partir do uso de ferramentas do software Geogebra. O applet fornece soluções numéricas aproximadas para um problema de valor inicial, bem como eXibe os graficos das soluções que são obtidas a partir dos métodos numéricos de Euler, Euler melhorado e Runge-Kutta de quarta ordem.
APA, Harvard, Vancouver, ISO, and other styles
5

Tam, Laying. "The general Euler-Borel summability method /." The Ohio State University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487683756124139.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

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.

Full text
Abstract:
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 possible improvementsare given<br>I detta examensarbete återskapas en lösning på ett glest rutnät genom att anpassa en partiell differentialekvation till några givna datapunkter. De partiella differentialekvationer med deras motsvarande syntetiska data som betraktas är värmeledningsekvationen och Dupires ekvation inklusive syntetiska data från Black-Scholes formel. Tillvägagångssättet att anpassa en PDE är att med hjälp av optimal styrning härleda diskreta approximationer på ett system av regulariserade Hamilton karakteristiska ekvationer till vilka olika diskreta stegmetoder och parametrar för släthet undersöks. Med en icke-parametrisk numerisk implementation prövas den härledda metoden och slutligen föreslås möjliga förbättringar till metoden.
APA, Harvard, Vancouver, ISO, and other styles
7

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.

Full text
Abstract:
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 is discretized by a regular Cartesian grid. The boundary is described by level set methods. In this context the boundary is seen as a zero level set of a specific function. Navier-Stokes equations is solved starting from Semi-Lagrangian methods, achieving second order accuracy in time and space. Resolution of Navier-Stokes equations allows a Poisson problem for pressure as an intermediate step. This is solved by multigrid methods. The velocity and the pressure are computed by solving a single implicit system solved iteratively.
APA, Harvard, Vancouver, ISO, and other styles
8

Kurz, Dominik [Verfasser]. "Numerische Simulation industrieller Rostfeuerungen nach der Euler-Euler Methode / Dominik Kurz." Aachen : Shaker, 2014. http://d-nb.info/1066196338/34.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Books on the topic "Euler's Method"

1

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

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

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.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

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.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

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

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

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

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

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

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

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

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

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

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

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

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

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

Find full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Book chapters on the topic "Euler's Method"

1

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Euler's Method"

1

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

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.

Full text
Abstract:
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 that extend this geometric idea by using several intermediate derivatives or tangents instead of just one, to approximate the unknown function, makes up for what the Euler’s method lacks
APA, Harvard, Vancouver, ISO, and other styles
4

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

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.

Full text
Abstract:
"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 method in MATLAB. The study examines beginning temperature, ambient temperature, cooling constant, and time step to understand cooling process transients. The simulation uses MATLAB scripts to demonstrate numerical methods in electronic cooling. Plots show temperature evolution over time, helping explain electronic component thermal management solutions. This research applies numerical methods to electronics cooling utilizing a popular computational tool. Engineers and researchers can use the MATLAB implementation to demonstrate numerical simulations' thermal performance prediction and optimization capabilities. The study emphasizes the necessity of computational methods in heat management solutions for real-world electronic component reliability and efficiency.
APA, Harvard, Vancouver, ISO, and other styles
8

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Euler's Method"

1

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

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

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

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.

Full text
Abstract:
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 the aggregation of individual households’ consumption policy functions, which reflects inequality.
APA, Harvard, Vancouver, ISO, and other styles
7

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.

Full text
Abstract:
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-Bernoulli beam theory is extended considering corroded sections, pipe-soil interactions, axial load, initial imperfections, and other major factors. Moreover, the bearing capacity, vertical deformation and section stress of the pipeline under corrosion is discussed thoroughly, wherein a Newton- Raphson typed numerical analysis procedure is utilized for nonlinear analysis of the upheaval buckling of pipelines. The influence of corrosion parameters such as the corrosion depth, corrosion ratio and area loss ratio on mechanical properties of the submarine pipelines is further analyzed in detail. It’s indicated that varying patterns of corrosion distribution, despite exhibiting identical corrosion parameters, can result in distinct reduction factors and vertical buckling displacements.
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Euler's Method' for particular source types:
Journal articles Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography