Log in

Relevant bibliographies by topics / Series, Taylor's. Differential equations

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers

Academic literature on the topic 'Series, Taylor's. Differential equations'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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 'Series, Taylor's. Differential equations.'

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 "Series, Taylor's. Differential equations"

1

Boruah, Khiord, Bipan Hazarika, and A. E. Bashirov. "Solvability of bigeometric differential equations by numerical methods." Boletim da Sociedade Paranaense de Matemática 39, no. 2 (2021): 203–22. http://dx.doi.org/10.5269/bspm.39444.

Full text

Abstract:

The objective of this paper is to derive and analyze Bigeometric-Euler, Taylor's Bigeometric-series and Bigeometric-Runge-Kutta methods of different orders for the approximation of initial value problems of Bigeometric-differential equations.

APA, Harvard, Vancouver, ISO, and other styles

2

Akgonullu Pirim, Nilay, and Fatma Ayaz. "Hermite collocation method for fractional order differential equations." An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 8, no. 2 (2018): 228–36. http://dx.doi.org/10.11121/ijocta.01.2018.00610.

Full text

Abstract:

This paper focuses on the approximate solutions of the higher order fractional differential equations with multi terms by the help of Hermite Collocation method (HCM). This new method is an adaptation of Taylor's collocation method in terms of truncated Hermite Series. With this method, the differential equation is transformed into an algebraic equation and the unknowns of the equation are the coefficients of the Hermite series solution of the problem. This method appears as a useful tool for solving fractional differential equations with variable coefficients. To show the pertinent feature of

APA, Harvard, Vancouver, ISO, and other styles

3

Alshammari, Mohammad. "Numerical Investigation to Fuzzy Volterra Integro-Differential Equations via Residual Power Series Method." ASM Science Journal 13 (February 20, 2020): 1–7. http://dx.doi.org/10.32802/asmscj.2020.511.

Full text

Abstract:

In this paper, a study of a numerical approximate solution to fuzzy Volterra integro-differential equations is presented under strongly generalised differentiability by applying an influent effective technique, called the Residual Power Series (RPS) method. The solution approach can be expressed on Taylor's series formula in terms of elementary σ-level representation, whereas the coefficients can be computed by utilising its residual functions. Furthermore, a numerical computational example is given to test and validate the proposed method. The results reached show several features concerning

APA, Harvard, Vancouver, ISO, and other styles

4

Sylvain Zézé, Djédjé, Michel Potier-Ferry, and Yannick Tampango. "Multi-point Taylor series to solve differential equations." Discrete & Continuous Dynamical Systems - S 12, no. 6 (2019): 1791–806. http://dx.doi.org/10.3934/dcdss.2019118.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Liu, Hsuan-Ku. "Developing a Series Solution Method of -Difference Equations." Journal of Applied Mathematics 2013 (2013): 1–4. http://dx.doi.org/10.1155/2013/743973.

Full text

Abstract:

The series solution is widely applied to differential equations on but is not found in -differential equations. Applying the Taylor and multiplication rule of two generalized polynomials, we develop a series solution of linear homogeneous -difference equations. As an example, the series solution method is used to find a series solution of the second-order -difference equation of Hermite’s type.

APA, Harvard, Vancouver, ISO, and other styles

6

Al-Refai, Mohammed, Mohamed Ali Hajji, and Muhammad I. Syam. "An Efficient Series Solution for Fractional Differential Equations." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/891837.

Full text

Abstract:

We introduce a simple and efficient series solution for a class of nonlinear fractional differential equations of Caputo's type. The new approach is a modified form of the well-known Taylor series expansion where we overcome the difficulty of computing iterated fractional derivatives, which do not compute in general. The terms of the series are determined sequentially with explicit formula, where only integer derivatives have to be computed. The efficiency of the new algorithm is illustrated through several examples. Comparison with other series methods such as the Adomian decomposition method

APA, Harvard, Vancouver, ISO, and other styles

7

Amirfakhrian, Majid, and Somayeh Keighobadi. "A modification of He's variational iteration method by Taylor's series for solving second order nonlinear partial differential equations." Journal of Interpolation and Approximation in Scientific Computing 2013 (2013): 1–7. http://dx.doi.org/10.5899/2013/jiasc-00049.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Veigend, Petr, Gabriela Nečasová, and Václav Šátek. "Model of the telegraph line and its numerical solution." Open Computer Science 8, no. 1 (2018): 10–17. http://dx.doi.org/10.1515/comp-2018-0002.

Full text

Abstract:

Abstract This paper deals with a model of the telegraph line that consists of system of ordinary differential equations, rather than partial differential telegraph equation. Numerical solution is then based on an original mathematical method. This method uses the Taylor series for solving ordinary differential equations with initial condition - initial value problems in a non-traditional way. Systems of ordinary differential equations are solved using variable order, variable step-size Modern Taylor Series Method. The Modern Taylor Series Method is based on a recurrent calculation of the Taylo

APA, Harvard, Vancouver, ISO, and other styles

9

Hussein Msmali, Ahmed, A. M. Alotaibi, M. A. El-Moneam, Badr S. Badr, and Abdullah Ali H. Ahmadini. "A General Scheme for Solving Systems of Linear First-Order Differential Equations Based on the Differential Transform Method." Journal of Mathematics 2021 (August 27, 2021): 1–9. http://dx.doi.org/10.1155/2021/8839201.

Full text

Abstract:

In this study, we develop the differential transform method in a new scheme to solve systems of first-order differential equations. The differential transform method is a procedure to obtain the coefficients of the Taylor series of the solution of differential and integral equations. So, one can obtain the Taylor series of the solution of an arbitrary order, and hence, the solution of the given equation can be obtained with required accuracy. Here, we first give some basic definitions and properties of the differential transform method, and then, we prove some theorems for solving the linear s

APA, Harvard, Vancouver, ISO, and other styles

10

Al-Humedi, Hameeda Oda. "The Reproducing Kernel Hilbert Space Method for Solving System of Linear Weakly Singular Volterra Integral Equations." JOURNAL OF ADVANCES IN MATHEMATICS 15 (November 14, 2018): 8070–80. http://dx.doi.org/10.24297/jam.v15i0.7869.

Full text

Abstract:

The exact solutions of a system of linear weakly singular Volterra integral equations (VIE) have been a difficult to find. The aim of this paper is to apply reproducing kernel Hilbert space (RKHS) method to find the approximate solutions to this type of systems. At first, we used Taylor's expansion to omit the singularity. From an expansion the given system of linear weakly singular VIE is transform into a system of linear ordinary differential equations (LODEs). The approximate solutions are represent in the form of series in the reproducing kernel space . By comparing with the exact solution

APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Series, Taylor's. Differential equations"

1

Seo, Dong-Won. "Performance analysis of queueing networks via Taylor series expansions." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/25098.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Yang, Jie. "Solving Partial Differential Equations by Taylor Meshless Method." Thesis, Université de Lorraine, 2018. http://www.theses.fr/2018LORR0032/document.

Full text

Abstract:

Le but de cette thèse est de développer une méthode numérique simple, robuste, efficace et précise pour résoudre des problèmes d'ingénierie de grande taille à partir de la méthode Taylor Meshless (TMM) et fournir de nouvelles idées principales de TMM est d'utiliser comme fonctions de forme des polynômes d'ordre élevé qui sont des solutions approchées de l'EDP. Ainsi la discrétisation ne concerne que la frontière. Les coefficients de ces fonctions de forme sont obtenus en discrétisant les conditions aux limites par des procédures de collocation associées à la méthode des moindres carrés. TMM es

APA, Harvard, Vancouver, ISO, and other styles

3

Šátek, Václav. "Analýza stiff soustav diferenciálních rovnic." Doctoral thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2012. http://www.nusl.cz/ntk/nusl-261258.

Full text

Abstract:

The solving of stiff systems is still a contemporary sophisticated problem. The basic problem is the absence of precise definition of stiff systems. A question is also how to detect the stiffness in a given system of differential equations. Implicit numerical methods are commonly used for solving stiff systems. The stability domains of these methods are relatively large but the order of them is low. The thesis deals with numerical solution of ordinary differential equations, especially numerical calculations using Taylor series methods. The source of stiffness is analyzed and the possibility

APA, Harvard, Vancouver, ISO, and other styles

4

Humená, Patrícia. "Adaptivní metody řešení eliptických parciálních diferenciálních rovnic." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2013. http://www.nusl.cz/ntk/nusl-236199.

Full text

Abstract:

The objective of this project is to get familiar with the numerical solution of partial differential equations. This solution will be implemented by using a grid refinement based on the aposteriory error estimation.

APA, Harvard, Vancouver, ISO, and other styles

5

Nečasová, Gabriela. "Paralelní numerické řešení parciálních diferenciálních rovnic." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2014. http://www.nusl.cz/ntk/nusl-236119.

Full text

Abstract:

This thesis deals with the topic of partial differential equations parallel solutions. First, it focuses on ordinary differential equations (ODE) and their solution methods using Taylor polynomial. Another part is devoted to partial differential equations (PDE). There are several types of PDE, there are parabolic, hyperbolic and eliptic PDE. There is also explained how to use TKSL system for PDE computing. Another part focuses on solution methods of PDE, these methods are forward, backward and combined methods. There was explained, how to solve these methods in TKSL and Matlab systems. Computi

APA, Harvard, Vancouver, ISO, and other styles

6

Kopřiva, Jan. "Semi - analytické výpočty a spojitá simulace." Doctoral thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2014. http://www.nusl.cz/ntk/nusl-261241.

Full text

Abstract:

The thesis deals with speedup and accuracy of numerical computation, especially when differential equations are solved. Algorithms, which are fulling these conditions are named semi-analytical. One posibility how to accelerate computation of differential equation is paralelization. Presented paralelization is based on transformation numerical solution into residue number system, which is extended to floating point computation. A new algorithm for modulo multiplication is also proposed. As application applications in solution of differential calculus are the main goal it is discussed numeric in

APA, Harvard, Vancouver, ISO, and other styles

7

Janko, Roman. "Modelování elektrických obvodů ve specializovaném paralelním systému." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2013. http://www.nusl.cz/ntk/nusl-236416.

Full text

Abstract:

This work provides an overview of methods for the numerical solution of differential equations. Options of their parallelization, a division of computational operations on multiple microprocessors, are provided with emphasis placed on the Taylor series. The next part of the work is devoted to the description of a specialized parallel system, which was design to fast solving of these equations. Differential equations are appropriate to describe electrical circuits. An important characteristic of each circuit is its behavior in the frequency domain. The aim of this thesis was to design and imple

APA, Harvard, Vancouver, ISO, and other styles

8

Lagrange, John. "Power Series Solutions to Ordinary Differential Equations." TopSCHOLAR®, 2001. http://digitalcommons.wku.edu/theses/672.

Full text

Abstract:

In this thesis, the reader will be made aware of methods for finding power series solutions to ordinary differential equations. In the case that a solution to a differential equation may not be expressed in terms of elementary functions, it is practical to obtain a solution in the form of an infinite series, since many differential equations which yield such a solution model an actual physical situation. In this thesis, we introduce conditions that guarantee existence and uniqueness of analytic solutions, both in the linear and nonlinear case. Several methods for obtaining analytic solutions a

APA, Harvard, Vancouver, ISO, and other styles

9

Hemmi, Mohamed Ali Carleton University Dissertation Mathematics and statistics. "Series solutions of nonlinear ordinary differential equations." Ottawa, 1994.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

10

Kadák, Michal. "Vizuální editor elektrických schemat." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2009. http://www.nusl.cz/ntk/nusl-235502.

Full text

Abstract:

This work deals with the possibilities of modeling electrical circuits and methods of solving these models. It focuses on the analysis of today's systems, so that their features can be used in our graphic editor design.

APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Series, Taylor's. Differential equations"

1

V, Bystrov L., ed. Primenenie sistemy analiticheskikh vychisleniĭ v zadachakh parametricheskoĭ identifikat͡s︡ii kineticheskikh modeleĭ. Vychislitelʹnyĭ t͡s︡entr AN SSSR, 1986.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

2

Ozeret͡skovskiĭ, V. B. Ri͡ady Teĭlora kak metod reshenii͡a different͡sialʹnykh, integralʹnykh i integro-different͡sialʹnykh uravneniĭ matematicheskoĭ fiziki. [s.n.], 1994.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

3

Introduction to differential equations: ODE, PDE, and series. Prentice-Hall, 1986.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

4

Introduction to partial differential equations: From Fourier series to boundary-value problems. Dover, 1989.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

5

Bernatz, Richard. Fourier series and numerical methods for partial differential equations. Wiley, 2010.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

6

Bernatz, Richard A. Fourier Series and Numerical Methods for Partial Differential Equations. John Wiley & Sons, Inc., 2010. http://dx.doi.org/10.1002/9780470651384.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Bernatz, Richard. Fourier series and numerical methods for partial differential equations. Wiley, 2010.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

8

1945-, Haberman Richard, ed. Applied partial differential equations: With Fourier series and boundary value problems. 4th ed. Pearson Prentice Hall, 2004.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

9

Haberman, Richard. Elementary applied partial differential equations: With Fourier series and boundary value problems. 2nd ed. Prentice-Hall, 1987.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

10

Elementary applied partial differential equations: With Fourier series and boundary value problems. 3rd ed. Prentice Hall, 1998.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Series, Taylor's. Differential equations"

1

Griffiths, David F., and Desmond J. Higham. "The Taylor Series Method." In Numerical Methods for Ordinary Differential Equations. Springer London, 2010. http://dx.doi.org/10.1007/978-0-85729-148-6_3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Hirayama, H. "Performance of a Higher-Order Numerical Method for Solving Ordinary Differential Equations by Taylor Series." In Integral Methods in Science and Engineering. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16727-5_27.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Marshall, Gordon S. "Differential Equations." In Springer Undergraduate Mathematics Series. Springer London, 1998. http://dx.doi.org/10.1007/978-1-4471-3412-1_9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Struthers, Allan, and Merle Potter. "Series Solutions for Differential Equations." In Differential Equations. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-20506-5_7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Dey, Anindya. "Series Solutions of Linear Differential Equations." In Differential Equations. CRC Press, 2021. http://dx.doi.org/10.1201/9781003205982-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Gilbert, Robert P., George C. Hsiao, and Robert J. Ronkese. "Power Series Methods for Solving Differential Equations." In Differential Equations, 2nd ed. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003175643-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Komornik, Vilmos. "Ordinary Differential Equations." In Springer Undergraduate Mathematics Series. Springer London, 2017. http://dx.doi.org/10.1007/978-1-4471-7316-8_6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Eck, Christof, Harald Garcke, and Peter Knabner. "Ordinary Differential Equations." In Springer Undergraduate Mathematics Series. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55161-6_4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Eck, Christof, Harald Garcke, and Peter Knabner. "Partial Differential Equations." In Springer Undergraduate Mathematics Series. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55161-6_6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Barreira, Luis, and Claudia Valls. "Ordinary Differential Equations." In Springer Undergraduate Mathematics Series. Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-4008-5_5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Series, Taylor's. Differential equations"

1

BERRYMAN, KENNETH, RICHARD STANFORD, and PETER BRECKHEIMER. "The ATOMFT integrator - Using Taylor series to solve ordinary differential equations." In Astrodynamics Conference. American Institute of Aeronautics and Astronautics, 1988. http://dx.doi.org/10.2514/6.1988-4217.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Bai, Lu, and Dingyü Xue. "A Numerical Algorithm to Initial Value Problem of Linear Caputo Fractional-Order Differential Equation." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46668.

Full text

Abstract:

A numerical algorithm is presented to solve the initial value problem of linear Caputo fractional-order differential equations. Error analysis has been done to Taylor series algorithm, the reason has been found why the error of the algorithm is large, the condition of using Taylor series algorithm is presented. A new algorithm called exponential function algorithm is proposed based on the analysis. Nonzero initial value problem could be transformed into zero initial value problem. The obtained fractional-order differential equation is transformed into difference equation, the numerical solutio

APA, Harvard, Vancouver, ISO, and other styles

3

Hassanpour, Pezhman A. "Approximate Response of Beam-Type Resonant Biosensors." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-88535.

Full text

Abstract:

In this paper, the effect of absorption of antigens to the functionalized surface of a biosensor is modeled using a single degree-of-freedom mass-spring-damper system. The change in the mass of the system due to absorption is modeled with an exponential function. The governing equations of motion is derived considering the change in the mass of the system as well as the impact force due to absorption. It has been demonstrated that this equation is a linear second-order ordinary differential equation with time-varying coefficients. The solution of this differential equation is approximated by e

APA, Harvard, Vancouver, ISO, and other styles

4

Chen, Li Hua, Shou Jie Cui, Xiao Zhi Zhang, and Wei Zhang. "Study on Large Deformation of Laminated Piezoelectric Rectangular Plate." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-88599.

Full text

Abstract:

For the laminated piezoelectric rectangular plate with large deflection and large rotation, the nonlinear equilibrium differential equations are derived and solved. Firstly, the global Cartesian coordinate system to describe the undeformed geometry and the local orthogonal curvilinear coordinate system to describe the deformed geometry are established respectively on the mid-plane of the plate before and after the deformation, and the relationship between the two coordinates is expressed by transformation matrix. For the convenience of calculation, the expressions of the nonlinear curvatures a

APA, Harvard, Vancouver, ISO, and other styles

5

Chen, Changping, Yejie Jiang, and Liming Dai. "Nonlinear Static Research of an Electrically Actuated Piezoelectric Laminated Microbeam." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10685.

Full text

Abstract:

The paper presents a nonlinear static research for an electrically actuated piezoelectric laminated micro-beam. On the basis of the Euler-Bernoulli hypothesis, and the responses under electric force [a purely direct current (DC)] are investigated. By using the Taylor series expansion, a set of governing equations of nonlinear integro-differential type is derived. Then using the Galerkin method, an analytical is presented. Numerical examples show, when a purely DC is applied, there exist an instantaneous pull-in voltage, the effect of the pull-in phenomenon have the relation not with elastic pa

APA, Harvard, Vancouver, ISO, and other styles

6

Flores, Paulo, Margarida Machado, Eurico Seabra, and Miguel Tavares da Silva. "A Parametric Study on the Baumgarte Stabilization Method for Forward Dynamics of Constrained Multibody Systems." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86362.

Full text

Abstract:

This paper presents and discusses the results obtained from a parametric study on the Baumgarte stabilization method for forward dynamics of constrained multibody systems. The main purpose of this work is to analyze the influence of the variables that affect the violation of constraints, chiefly the values of the Baumgarte parameters, the integration method, the time step and the quality of the initial conditions for the positions. In the sequel of this process the formulation of the rigid multibody systems is reviewed. The generalized Cartesian coordinates are selected as the variables to des

APA, Harvard, Vancouver, ISO, and other styles

7

Chen, Changping, Yejie Jiang, and Liming Dai. "Nonlinear Dynamic Analysis of an Electrically Actuated Piezoelectric Laminated Microbeam With the Effect of AC." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-37029.

Full text

Abstract:

The paper presents not a nonlinear static research but dynamic anlysis for an electrically actuated piezoelectric laminated micro-beam. On the basis of the Euler-Bernoulli hypothesis, and the responses under electric force [a purely direct current and a combined current composed of a direct current and an alternating current] are investigated, respectively. By using the Taylor series expansion, a set of governing equations of nonlinear integro-differential type is derived. Then using the Galerkin method and the fourth-order Runge-Kutta method, an analytical is presented. Numerical examples sho

APA, Harvard, Vancouver, ISO, and other styles

8

Bani Younes, Ahmad, and James Turner. "Feedback Control Sensitivity Calculations Using Computational Differentiation." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-51439.

Full text

Abstract:

Feedback control is a powerful methodology for handling model and parameter uncertainty in real-world applications. Given a useful nominal plant model for developing the control approach, it is well-known that optimal solutions only perform well for a limited range of model and parameter uncertainty. A higher-order optimal nonlinear feedback control strategy is presented where the feedback control is augmented with feedback gain sensitivity partial derivatives for handling model uncertainties. The computational differentiation (CD) toolbox is used for automatically generating higher-order part

APA, Harvard, Vancouver, ISO, and other styles

9

Wu, Chiun-lin, and Ching-Chiang Chuang. "An Innovative Precise Integration Method in Solving Structural Dynamic Problems." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97917.

Full text

Abstract:

An innovative time integration method that incorporates spurious high-frequency dissipation capability into the so called “high precision direct integration algorithm” is presented, and its numerical stability and accuracy is discussed. The integration algorithm is named “high precision” to emphasize its numerical capability in reaching computer hardware precision. The proposed procedure employs the well-known state space approach to solve the simultaneous ordinary differential equations, the exact solution of which contains an exponential matrix to be efficiently computed using the truncated

APA, Harvard, Vancouver, ISO, and other styles

10

Georgiev, Zhivko, and Dimitar Kazakov. "Learning Ordinary Differential Equations for Macroeconomic Modelling." In 2015 IEEE Symposium Series on Computational Intelligence (SSCI). IEEE, 2015. http://dx.doi.org/10.1109/ssci.2015.133.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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!