• Corpus ID: 6115222

The New M ATLAB Code bvpsuite for the Solution of Singular Implicit

@inproceedings{Kitzhofer2010TheNM,
  title={The New M ATLAB Code bvpsuite for the Solution of Singular Implicit},
  author={G. Kitzhofer and Othmar Koch and Gernot Pulverer and Christa Simon and Ewa Weinm{\"u}ller},
  year={2010}
}
Our aim is to provide the open domain M ATLAB codebvpsuite for the efficient numerical solution of boundary value problems in ordinary differe ntial equations. Motivated by applications, we are especially interested in designing a code whose scope is a propriately wide, including fully implicit problems of mixed orders, parameter dependent probl ems, problems with unknown parameters, problems posed on semi-infinite intervals, eigenvalue prob lems and differential algebraic equations of index 1… 

References

SHOWING 1-10 OF 52 REFERENCES

Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics

TLDR
Collocation methods provide a sound basis for the implementation of a standard code equipped with an a posteriori error estimate and an adaptive mesh selection procedure and are currently developing especially for the numerical solution of singular boundary value problems of arbitrary, mixed order.

A User-Friendly Fortran BVP Solver

TLDR
The new solver, BVP SOLVER, extends the class of BVPs solved by MIRKDC to problems with unknown parameters and problems with ODEs having a singular coecien t.

Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation

We present a pathfollowing strategy based on pseudo-arclength parametrization for the solution of parameter-dependent boundary value problems for ordinary differential equations. We formulate

From nonlinear PDEs to singular ODEs

Computation of Self-similar Solution Profiles for the Nonlinear Schrödinger Equation

TLDR
It is shown that a transformation of the independent variable to the interval [0,1] yields a well-posed boundary value problem with an essential singularity that can be stably solved by polynomial collocation.

A Collocation Code for Boundary Value Problems in Ordinary Differential Equations

TLDR
The aim is the efficient numerical solution of systems of ODEs with a singularity of the first kind, but the solver can also be used for regular problems, and a Matlab package for boundary value problems in ordinary differential equations is presented.

A Collocation Code for Singular Boundary Value Problems in Ordinary Differential Equations

TLDR
The aim is the efficient numerical solution of systems of ODEs with a singularity of the first kind, but the solver can also be used for regular problems, and a MATLAB package for boundary value problems in ordinary differential equations is presented.

Collocation methods for index 1 DAEs with a singularity of the first kind

TLDR
It is shown that for a well-posed boundary value problem for DAEs having a sufficiently smooth solution, the global error of the collocation scheme converges with the order O(h s ), where s is the number of collocation points.

A New Basis Implementation for a Mixed Order Boundary Value ODE Solver

TLDR
This paper analyzes the performance of the piecewise polynomial solution representation of B-splines in COLSYS and implements a basis replacement, demonstrating the improvement in performance.

A BVP Solver that Controls Residual and Error 1

We describe the algorithms and implementation of the bvp5c program for solving boundary value problems (BVPs) for ordinary dieren tial equations. A remarkable rela- tionship between scaled residual
...