Výsledky vyhledávání - Numerical solution of initial value problem of ODE

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

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

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

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

“…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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A NUMERICAL SOLUTION FOR AN INITIAL VALUE PROBLEM FOR ODE USING ARTIFICIAL NEURAL NETWORK Autor Emil Lungu

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

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Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs: Numerical analysis 2000. Vol. VI: Ordinary differential equations and integral equations Autor CASH, J. R

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

“…This book presents the latest numerical solutions to initial value problems and boundary value problems described by ODEs and PDEs…”
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Blended implicit methods for the numerical solution of DAE problems Autor Brugnano, Luigi, Magherini, Cecilia, Mugnai, Filippo

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

“…The numerical solution of initial-value problems (IVP) for ordinary differential equations (ODE…”
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An Hermite–Obreshkov method for 2nd-order linear initial-value problems for ODE: with special attention paid to the Mathieu equation Autor Corless, Robert M.

“…The numerical solution of initial-value problems (IVP) for ordinary differential equations (ODE…”
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The BiM code for the numerical solution of ODEs Autor Brugnano, Luigi, Magherini, Cecilia

“… Inc., New York, 2001, pp. 81.), for the numerical solution of stiff initial value problems for ODEs…”
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Explicit formulation of titration models for isothermal titration calorimetry Autor Poon, Gregory M.K.

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

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

“… (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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ENERGY CONSERVATIVE ALGORITHM FOR NUMERICAL SOLUTION OF ODES INITIAL VALUE PROBLEMS Autor MILETICS, E.

“…The numerical treatment of the ODE initial value problems is an intensively researched field…”
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Highly Continuous Interpolants for One-Step Ode Solvers and their Application to Runge-Kutta Methods Autor Papakostas, S. N., Ch. Tsitouras

“…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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A Numerical Framework for Integrating Deferred Correction Methods to Solve High Order Collocation Formulations of ODEs Autor Qu, Wenzhen, Brandon, Namdi, Chen, Dangxing, Huang, Jingfang, Kress, Tyler

“…Recent analysis and numerical experiments show that the deferred correction methods are competitive numerical schemes for time dependent differential equations…”
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Recursive form of Sobolev gradient method for ODEs on long intervals Autor Mujeeb, D., Neuberger, J. W., Sial, S.

“…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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A posteriori estimates of inverse operators for initial value problems in linear ordinary differential equations Autor Kinoshita, T., Kimura, T., Nakao, M.T.

“… 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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