ORDER STARS AND THE OPTIMAL ACCURACY OF STABLE, EXPLICIT DIFFERENCE SCHEMES

DOI10.1080/16073606.1985.9631909zbMath0601.65067OpenAlexW2033036992MaRDI QIDQ3736846

J.-H. Smit

Publication date: 1985

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1985.9631909

zbMATH Keywords

explicit schemeorder starmaximum orderFully discretizedsemi- discretized

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (2)

The maximal accuracy of stable difference schemes for the wave equation ⋮ Order stars and stiff integrators

Cites Work

• Stability of explicit time discretizations for solving initial value problems
• Stability and accuracy of time discretizations for initial value problems
• Stability and Accuracy of Semi-discretized Finite Difference Methods
• Survey of the stability of linear finite difference equations
• Barriers to Stability
• Stability of Semidiscretizations of Hyperbolic Problems
• Trigonometric Polynomials and Difference Methods of Maximum Accuracy
• Order stars and stability theorems
• On the A-Acceptability of Rational Approximations that Interpolate the Exponential Function
• Order Stars and a Saturation Theorem for First-order Hyperbolics

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