A BVP solver based on residual control and the Maltab PSE
By J. Kierzenka, Lawrence F. Shampine. TOMS, 2001
755 citations recorded by the source corpus.
Subfields: Computational Mechanics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/5454437e3d3279d24eb0268d481318b78fbd303c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Anthony Peirce
- Emmanuel Detournay
- J. Adachi
- G. H. Gudmundsson
- Knut Graichen
- Nicolas Petit
- R. Arthern
- Jorge Angeles
In Numerical Analysis
- Nicolas Petit
- G. H. Gudmundsson
- Knut Graichen
- R. Arthern
- Anthony Peirce
- Jorge Angeles
- J. Adachi
- Pierre Montagnier
Citations in the corpus
- The control of linear time-periodic systems using Floquet–Lyapunov theory (2004, methodology): “Solving this system for L( ) and F is done by using a standard BVP software package; e.g. COLDAE, developed by Ascher and Spiteri (1994), or bvp4c in MATLABTM (Kierzenka 1998, Kierzenka and Shampine 2001).”
- Analysis of the classical pseudo-3D model for hydraulic fracture with equilibrium height growth across stress barriers (2010, methodology): “The spatial discretization used in the numerical scheme has a global truncation error of OðDx(4)Þ, see [33], while the backward difference formula used to approximate the time derivatives has a truncation error of OðDtÞ.”
- Solving ODEs and DDEs with residual control (2005, background): “Though it has not yet seen much use in solving initial value problems for ODEs, two effective codes for solving boundary value problems (BVPs), namely MIRKDC [5] and bvp4c [9], use it.”
- Constructive Methods for Initialization and Handling Mixed State-Input Constraints in Optimal Control (2008, methodology): “paper is the standard MATLAB BVP solver bvp4c, which solves nonlinear two-point BVPs by means of the collocation method [ 29 ].”
- Initialization of ice-sheet forecasts viewed as an inverse Robin problem (2010, methodology): “This was obtained by numerically solving the boundary-value problems NP and DP (Equation (7)) for regularly spaced μ and β (using MATLAB routine bvp4c; Kierzenka and Shampine, 2001), then evaluating J using Equation (3).”