Search Results - Numerical solution of initial value problem of ODE

Deep Recurrent Neural Network Architecture of High Order Indirect Integration Method by 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 by 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 by 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 by 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 by Emil Lungu

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A NUMERICAL SOLUTION FOR AN INITIAL VALUE PROBLEM FOR ODE USING ARTIFICIAL NEURAL NETWORK by 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 by CASH, J. R

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Blended implicit methods for the numerical solution of DAE problems by 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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Numerical Analysis Using R: Solutions to ODEs and PDEs by 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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An Hermite–Obreshkov method for 2nd-order linear initial-value problems for ODE by 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 by 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 by 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 by 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 by 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 by 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 by 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 by 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 by 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 by 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 by 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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