Error control Gaussian collocation software for boundary value ODEs and 1D time-dependent PDEs

DOI10.1007/s11075-019-00738-2zbMath1416.65200OpenAlexW2962942504WikidataQ114224326 ScholiaQ114224326MaRDI QIDQ2316651

Yanyan Li

Publication date: 6 August 2019

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-019-00738-2

zbMATH Keywords

efficiencyerror estimationcollocationerror controlpartial differential equationsboundary value ordinary differential equations

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for differential-algebraic equations (65L80)

Uses Software

• BACOL
• EPDCOL
• PDECOL
• COLNEW
• BACOLR
• COLROW
• COLSYS
• diffEq
• BACOLI
• ARCELO

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A high-order global spatially adaptive collocation method for 1-D parabolic PDEs
• A comparison of adaptive software for 1D parabolic PDEs
• An automatic continuation strategy for the solution of singularly perturbed linear two-point boundary value problems
• Solving Differential Equations in R
• Solving Ordinary Differential Equations I
• A Runge-Kutta BVODE Solver with Global Error and Defect Control
• Algorithm 874
• FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination
• A New Basis Implementation for a Mixed Order Boundary Value ODE Solver
• Algorithm 540: PDECOL, General Collocation Software for Partial Differential Equations [D3]
• Collocation Software for Boundary-Value ODEs
• Order Barriers and Characterizations for Continuous Mono-Implicit Runge- Kutta Schemes
• Collocation Software for Boundary Value Differential-Algebraic Equations
• Algorithm 688: EPDCOL
• Superconvergent Interpolants for the Collocation Solution of Boundary Value Ordinary Differential Equations
• BACOL
• A practical guide to splines.

This page was built for publication: Error control Gaussian collocation software for boundary value ODEs and 1D time-dependent PDEs