Suchergebnisse - Numerical solution of initial value problem of ODE

  1. 1

    Deep Recurrent Neural Network Architecture of High Order Indirect Integration Method von Xie, Zhengrong, Ai, Yibo, Chen, Jia, Wang, Fan, Zhang, Weidong

    ISSN: 1370-4621, 1573-773X
    Veröffentlicht: New York Springer US 01.04.2022
    Veröffentlicht in Neural processing letters (01.04.2022)
    “… The indirect integration method (IIM) is a numerical method for initial value problem of ordinary differential equation, which is based on the residual iteration of differential equation to optimize the parameters of the highest order …”
    Volltext
    Journal Article
  2. 2

    Parsimonious physics-informed random projection neural networks for initial value problems of ODEs and index-1 DAEs von Fabiani, Gianluca, Galaris, Evangelos, Russo, Lucia, Siettos, Constantinos

    ISSN: 1089-7682, 1089-7682
    Veröffentlicht: United States 01.04.2023
    Veröffentlicht in Chaos (Woodbury, N.Y.) (01.04.2023)
    “… We present a numerical method based on random projections with Gaussian kernels and physics-informed neural networks for the numerical solution of initial value problems (IVPs …”
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    Journal Article
  3. 3

    Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs von Cash, J.R.

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Elsevier B.V 15.12.2000
    Veröffentlicht in Journal of computational and applied mathematics (15.12.2000)
    “… For many years the methods of choice for the numerical solution of stiff initial value problems and certain classes of differential algebraic equations have been the well-known backward differentiation formulae (BDF …”
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    Journal Article
  4. 4

    Validated solutions of initial value problems for parametric ODEs von Lin, Youdong, Stadtherr, Mark A.

    ISSN: 0168-9274, 1873-5460
    Veröffentlicht: Amsterdam Elsevier B.V 01.10.2007
    Veröffentlicht in Applied numerical mathematics (01.10.2007)
    “… In initial value problems for ODEs with interval-valued parameters and/or initial values, it is desirable in many applications to be able to determine a validated enclosure of all possible solutions to the ODE system …”
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    Journal Article
  5. 5

    A NUMERICAL SOLUTION FOR AN INITIAL VALUE PROBLEM FOR ODE USING ARTIFICIAL NEURAL NETWORK von Emil Lungu

    ISSN: 1844-9581, 2068-3049
    Veröffentlicht: 01.12.2009
    Veröffentlicht in Journal of the sciences and arts (01.12.2009)
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    Journal Article
  6. 6

    A NUMERICAL SOLUTION FOR AN INITIAL VALUE PROBLEM FOR ODE USING ARTIFICIAL NEURAL NETWORK von Lungu, Emil

    ISSN: 1844-9581, 2068-3049
    Veröffentlicht: Targoviste Valahia State University under the authority of The National University Research Council 01.12.2009
    Veröffentlicht in Journal of the sciences and arts (01.12.2009)
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    Journal Article
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  8. 8

    Numerical Analysis Using R: Solutions to ODEs and PDEs von Griffiths, Graham W.

    ISBN: 9781107115613, 1107115612
    Veröffentlicht: New York, N.Y Cambridge University Press 26.04.2016
    “… This book presents the latest numerical solutions to initial value problems and boundary value problems described by ODEs and PDEs …”
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    E-Book Buch
  9. 9

    Blended implicit methods for the numerical solution of DAE problems von Brugnano, Luigi, Magherini, Cecilia, Mugnai, Filippo

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Amsterdam Elsevier B.V 01.05.2006
    Veröffentlicht in Journal of computational and applied mathematics (01.05.2006)
    “… Recently, a new approach for solving the discrete problems, generated by the application of block implicit methods for the numerical solution of initial value problems for ODEs, has been devised [L …”
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    Journal Article Tagungsbericht
  10. 10

    An Hermite–Obreshkov method for 2nd-order linear initial-value problems for ODE von Corless, Robert M

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer Nature B.V 01.07.2024
    Veröffentlicht in Numerical algorithms (01.07.2024)
    “… The numerical solution of initial-value problems (IVP) for ordinary differential equations (ODE …”
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    Journal Article
  11. 11

    An Hermite–Obreshkov method for 2nd-order linear initial-value problems for ODE: with special attention paid to the Mathieu equation von Corless, Robert M.

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer US 01.07.2024
    Veröffentlicht in Numerical algorithms (01.07.2024)
    “… The numerical solution of initial-value problems (IVP) for ordinary differential equations (ODE …”
    Volltext
    Journal Article
  12. 12

    The BiM code for the numerical solution of ODEs von Brugnano, Luigi, Magherini, Cecilia

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Elsevier B.V 01.03.2004
    Veröffentlicht in Journal of computational and applied mathematics (01.03.2004)
    “… Inc., New York, 2001, pp. 81.), for the numerical solution of stiff initial value problems for ODEs …”
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    Journal Article
  13. 13

    Explicit formulation of titration models for isothermal titration calorimetry von Poon, Gregory M.K.

    ISSN: 0003-2697, 1096-0309, 1096-0309
    Veröffentlicht: United States Elsevier Inc 15.05.2010
    Veröffentlicht in Analytical biochemistry (15.05.2010)
    “… Here, a direct approach is presented wherein ITC models are formulated and solved as numerical initial value problems for data fitting and simulation purposes …”
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    Journal Article
  14. 14

    Some General Linear Methods for the Numerical Solution of Non-Stiff IVPs in ODEs von Okuonghae, R. I., Ikhile, M. N. O., Ogunleye, S. O.

    ISSN: 1748-3018, 1748-3026
    Veröffentlicht: London, England SAGE Publications 01.03.2013
    Veröffentlicht in Journal of algorithms & computational technology (01.03.2013)
    “… In this paper, we consider the construction of explicit General Linear Methods (GLM) for the numerical solution of non-stiff initial value problems …”
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    Journal Article
  15. 15

    Numerical Approximations of ODEs Initial Value Problem; A Case Study of Gluconic Acid Fermentation by Pseudomonas ovalis von Ihoeghian, N. A., John, B. O.

    ISSN: 2456-9968, 2456-9968
    Veröffentlicht: Journal of Advances in Mathematics and Computer Science 14.07.2021
    “… (Adams-Bashforth-Moulton, Bogacki-Shampine, Euler) of ODEs Initial value Problem in its simplest approach using a case study of gluconic acid frementation by Psuedonomas Ovalis …”
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    Journal Article
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    ENERGY CONSERVATIVE ALGORITHM FOR NUMERICAL SOLUTION OF ODES INITIAL VALUE PROBLEMS von MILETICS, E.

    ISBN: 9812704655, 9789812704658, 9789812385956, 9789814485098, 9812385959, 9814485098
    Veröffentlicht: WORLD SCIENTIFIC 01.08.2003
    “… The numerical treatment of the ODE initial value problems is an intensively researched field …”
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    Buchkapitel
  17. 17

    Highly Continuous Interpolants for One-Step Ode Solvers and their Application to Runge-Kutta Methods von Papakostas, S. N., Ch. Tsitouras

    ISSN: 0036-1429, 1095-7170
    Veröffentlicht: Philadelphia, PA Society for Industrial and Applied Mathematics 01.02.1997
    Veröffentlicht in SIAM journal on numerical analysis (01.02.1997)
    “… We suggest a general method for the construction of highly continuous interpolants for one-step methods applied to the numerical solution of initial value problems of ODEs of arbitrary order …”
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    Journal Article
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    A Numerical Framework for Integrating Deferred Correction Methods to Solve High Order Collocation Formulations of ODEs von Qu, Wenzhen, Brandon, Namdi, Chen, Dangxing, Huang, Jingfang, Kress, Tyler

    ISSN: 0885-7474, 1573-7691
    Veröffentlicht: New York Springer US 01.08.2016
    Veröffentlicht in Journal of scientific computing (01.08.2016)
    “… Recent analysis and numerical experiments show that the deferred correction methods are competitive numerical schemes for time dependent differential equations …”
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    Journal Article
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    Recursive form of Sobolev gradient method for ODEs on long intervals von Mujeeb, D., Neuberger, J. W., Sial, S.

    ISSN: 0020-7160, 1029-0265
    Veröffentlicht: Taylor & Francis 01.11.2008
    Veröffentlicht in International journal of computer mathematics (01.11.2008)
    “… The Sobolev gradient method has been shown to be effective at constructing finite-dimensional approximations to solutions of initial-value problems …”
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    Journal Article
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    A posteriori estimates of inverse operators for initial value problems in linear ordinary differential equations von Kinoshita, T., Kimura, T., Nakao, M.T.

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Elsevier B.V 15.10.2011
    Veröffentlicht in Journal of computational and applied mathematics (15.10.2011)
    “… This type of estimation will play an important role in the numerical verification of solutions for initial value problems in nonlinear ODEs as well as for parabolic initial boundary value problems …”
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    Journal Article