An Hermite-Obreschkoff method for stiff high-index DAE

DOI10.1007/s10543-023-00955-1OpenAlexW4321350826MaRDI QIDQ2695264

Reza Zolfaghari, Nedialko S. Nedialkov

Publication date: 30 March 2023

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-023-00955-1

zbMATH Keywords

automatic differentiationstiff problemsstructural analysisdifferential-algebraic equations (DAEs)

Mathematics Subject Classification ID

Numerical methods for differential-algebraic equations (65L80) Numerical methods for stiff equations (65L04)

Uses Software

• ADOL-C
• SUNDIALS
• RADAU
• FADBAD++
• DAETS

Cites Work

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• SUNDIALS
• Automated independent coordinates' switching for the solution of stiff DAEs with the linearly implicit Euler method
• Regularization of DAEs based on the signature method
• Structural-algebraic regularization for coupled systems of DAEs
• Differential-algebraic equations. A projector based analysis
• Pryce pre-analysis adapted to some DAE solvers
• A new algorithm for index determination in DAEs using algorithmic differentiation
• Projected explicit and implicit Taylor series methods for DAEs
• Solving differential-algebraic equations by Taylor series. II: Computing the system Jacobian
• Efficient use of implicit formulas with predictor-corrector error estimate
• Solving high-index DAEs by Taylor series
• Iterative solution of SPARK methods applied to DAEs
• Stiff differential equations solved by Radau methods
• An interval Hermite-Obreschkoff method for computing rigorous bounds on the solution of an initial value problem for an ordinary differential equation
• Conjugate-symplecticity properties of Euler-Maclaurin methods and their implementation on the infinity computer
• Stiffness 1952--2012: sixty years in search of a definition
• Solving differential-algebraic equations by Taylor series. I: Computing Taylor coefficients
• Numerical Differentiation of Approximated Functions with Limited Order-of-Accuracy Deterioration
• Nonstandard numerical schemes for modeling a 2-DOF serial robot with rotational spring-damper-actuators
• Solving Ordinary Differential Equations I
• The Consistent Initialization of Differential-Algebraic Systems
• On the Stability of Variable-Stepsize Nordsieck BDF Methods
• Implementation of Implicit Formulas for the Solution of ODE<scp>s</scp>
• Algorithm 755: ADOL-C
• One-step methods of hermite type for numerical integration of stiff systems
• Numerical Methods for Stiff Index-3 DAEs
• Sensitivity Analysis of ODES/DAES Using the Taylor Series Method
• An Extension of Obreshkov’s Formula
• A-Stable Methods and Padé Approximations to the Exponential
• A Survey of Methods for Rational Approximation, with Particular Reference to a New Method Based on a Forumla of Darboux
• A Generalization of Taylor's Expansion
• A simple structural analysis method for DAEs

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