Shampine

QUADGK cannot integrate functions with strong end point singularities. By asking for additional information about the singularities, QUADSAS can use QUADGK to integrate functions with strong algebraic singularities. Except for specification of the integrand, QUADSAS is used exactly like QUADGK.... Platforms: Matlab

This file contains the example programs and other information for the book Solving ODEs with MATLAB by L.F. Shampine, Ian Gladwell, and Skip Thompson. Platforms: Matlab

This is a manuscript of the paperLawrence F. Shampine, Mark W. Reichelt, and Jacek A. Kierzenka,Solving Index-1 DAEs in MATLAB and Simulink,SIAM Review, Vol. 18, No. 3, pp. 538-552, 1999.The paper describes mathematical and software developments needed for effective solution of differential... Platforms: Matlab

This tutorial shows how to use the MATLAB solver DDE23 to solve delay differential equations (DDEs) with constant delays. The solver is available in MATLAB 6.5 and later.The tutorial briefly discusses the differences between solving ODEsand DDEs, and describes the techniques used in DDE23. The... Platforms: Matlab

We present here a program Fie that solves numerically Fredholm integral equations of the second kind on an interval [a,b] to a specified, modest accuracy. Test programs are also included for the various cases. The program TestAll, with no input parameters, can be used to illustrate the various... Platforms: Matlab

This tutorial shows how to formulate, solve, and plot the solutions of boundary value problems (BVPs) for ordinary differential equations.The tutorial introduces the function BVP4C (available in MATLAB 6.0 and later), briefly describes the numerical method used, and illustrates solving BVPs with... Platforms: Matlab