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Global Error Estimates for Ordinary Differential Equations

Editor: John R. Rice Authors:

L. F. Shampine,

H. A. WattsAuthors Info & Claims

ACM Transactions on Mathematical Software (TOMS), Volume 2, Issue 2

Pages 172 - 186

https://doi.org/10.1145/355681.355687

Published: 01 June 1976 Publication History

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Arustei ADutta A(2024)Direct optimization of low-thrust orbit-raising maneuvers using adjoint sensitivitiesActa Astronautica10.1016/j.actaastro.2024.03.059219(965-981)Online publication date: Jun-2024
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Kulikov GKulikova MKulikov GKulikova M(2024)Basic Issues and Concepts of Numerical IntegrationState Estimation for Nonlinear Continuous–Discrete Stochastic Systems10.1007/978-3-031-61371-5_1(3-110)Online publication date: 7-Sep-2024
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Kent BPowell CSilvester DZimoń M(2023)Efficient Adaptive Stochastic Collocation Strategies for Advection–Diffusion Problems with Uncertain InputsJournal of Scientific Computing10.1007/s10915-023-02247-w96:3Online publication date: 12-Jul-2023
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Index Terms

Global Error Estimates for Ordinary Differential Equations
1. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Ordinary differential equations

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cover image ACM Transactions on Mathematical Software

ACM Transactions on Mathematical Software Volume 2, Issue 2

June 1976

97 pages

ISSN:0098-3500

EISSN:1557-7295

DOI:10.1145/355681

Editor:
John R. Rice

Issue’s Table of Contents

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 June 1976

Published in TOMS Volume 2, Issue 2

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Arustei ADutta A(2024)Direct optimization of low-thrust orbit-raising maneuvers using adjoint sensitivitiesActa Astronautica10.1016/j.actaastro.2024.03.059219(965-981)Online publication date: Jun-2024
https://doi.org/10.1016/j.actaastro.2024.03.059
Kulikov GKulikova MKulikov GKulikova M(2024)Basic Issues and Concepts of Numerical IntegrationState Estimation for Nonlinear Continuous–Discrete Stochastic Systems10.1007/978-3-031-61371-5_1(3-110)Online publication date: 7-Sep-2024
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Kent BPowell CSilvester DZimoń M(2023)Efficient Adaptive Stochastic Collocation Strategies for Advection–Diffusion Problems with Uncertain InputsJournal of Scientific Computing10.1007/s10915-023-02247-w96:3Online publication date: 12-Jul-2023
https://dl.acm.org/doi/10.1007/s10915-023-02247-w
Shampine L(2023)Error estimation and control for ODEsJournal of Scientific Computing10.1007/BF0272897925:1-2(3-16)Online publication date: 15-Mar-2023
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Kulikov G(2020)Nested Implicit Runge–Kutta Pairs of Gauss and Lobatto Types with Local and Global Error Controls for Stiff Ordinary Differential EquationsComputational Mathematics and Mathematical Physics10.1134/S096554252007007660:7(1134-1154)Online publication date: 9-Aug-2020
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Kulikov GWeiner R(2020)Variable-stepsize doubly quasi-consistent singly diagonally implicit two-step peer pairs for solving stiff ordinary differential equationsApplied Numerical Mathematics10.1016/j.apnum.2020.04.003Online publication date: Apr-2020
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Kulikov GKulikova M(2020)NIRK-based Cholesky-factorized square-root accurate continuous-discrete unscented Kalman filters for state estimation in nonlinear continuous-time stochastic models with discrete measurementsApplied Numerical Mathematics10.1016/j.apnum.2019.08.021147:C(196-221)Online publication date: 1-Jan-2020
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Davis P(2018)What Do I Know? A Study of Mathematical Self-AwarenessThe College Mathematics Journal10.1080/07468342.1985.1197284716:1(22-41)Online publication date: 30-Jan-2018
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Kulikov GWeiner R(2018)Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methodsJournal of Computational and Applied Mathematics10.1016/j.cam.2018.02.037340:C(256-275)Online publication date: 1-Oct-2018
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Kulikov GWeiner R(2015)A Singly Diagonally Implicit Two-Step Peer Triple with Global Error Control for Stiff Ordinary Differential EquationsSIAM Journal on Scientific Computing10.1137/14097995237:3(A1593-A1613)Online publication date: Jan-2015
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Error-controlled global sensitivity analysis of ordinary differential equations

Linearization techniques for singular initial-value problems of ordinary differential equations

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