Constructing New Time Integrators Using Interpolating Polynomials

DOI10.1137/18M1203808zbMath1435.65101OpenAlexW2977368375WikidataQ127178211 ScholiaQ127178211MaRDI QIDQ5238762

Tommaso Buvoli, Mayya Tokman

Publication date: 28 October 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1203808

zbMATH Keywords

time integrationparallelismapproximation theorypolynomial interpolationhigh-order

Mathematics Subject Classification ID

Numerical interpolation (65D05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Related Items (3)

Additive Polynomial Time Integrators, Part I: Framework and Fully Implicit-Explicit Collocation Methods ⋮ Constructing New Time Integrators Using Interpolating Polynomials ⋮ Exponential Polynomial Block Methods

Uses Software

• Matlab

Cites Work

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• A numerical methodology for the Painlevé equations
• Accuracy and stability of computing high-order derivatives of analytic functions by Cauchy integrals
• High order splitting methods for analytic semigroups exist
• Parallel methods for ordinary differential equations
• A new approach to constructing efficient stiffly accurate EPIRK methods
• Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods
• 50 Years of Time Parallel Time Integration
• Numerical Algorithms Based on Analytic Function Values at Roots of Unity
• The Exponentially Convergent Trapezoidal Rule
• Integrating ODE's in the Complex Plane-Pole Vaulting
• Numerical Differentiation of Analytic Functions
• Spectral Methods in MATLAB
• Optimal contours for high-order derivatives
• Constructing New Time Integrators Using Interpolating Polynomials
• Numerical Differentiation of Analytic Functions
• Numerical Methods for Ordinary Differential Equations

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