偏微分方程求解方面的资源(MOL有关)

http://www.lehigh.edu/~wes1/books/

Software available from the following references:

(1) Schiesser, W. E. (1991), The Numerical Method of Lines Integration of Partial Differential Equations, Academic Press, San Diego
(2) Silebi, C. A., and W. E. Schiesser (1992), Dynamic Modeling of Transport Process Systems, Academic Press, San Diego

(3) Schiesser, W. E. (1994), Computational Mathematics in Engineering and Applied Science: ODEs, DAEs, and PDEs, CRC Press, Boca Raton

(4) Schiesser, W. E., and C. A. Silebi (1997), Computational Transport Phenomena, Cambridge University Press, Cambridge

(5) Lee, H. J., and W. E. Schiesser (2004), Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple and Matlab, CRC Press, Boca Raton

(6) Schiesser, W. E., and G. W. Griffiths (2009), A Compendium of Partial Differential Equations Models: Method of Lines Analysis with Matlab, Cambridge University Press, Cambridge, UK

(7) Griffiths, G. W., and W. E. Schiesser (2012), Traveling Wave Analysis of Partial Differential Equations: Numerical and Analytical Solutions with Matlab and Maple, Academic Press/Elsevier, Burlington, MA

(8) Schiesser, W. E. (2013), Partial Differential Equation Analysis in Biomedical Engineering, Cambridge University Press, Cambridge, UK

(9) Schiesser, W. E. (2014), Differential Equation Analysis in Biomedical Science and Engineering, Ordinary Differential Equation Analysis with R, John Wiley and Sons, Hoboken, NJ

(10) Schiesser, W. E. (2014), Differential Equation Analysis in Biomedical Science and Engineering, Partial Differential Equation Analysis with R, John Wiley and Sons, Hoboken, NJ

The programs in reference (1) are available from request.

The programs in reference (2) are available from request.

The programs in reference (3) are available from request.

The programs in reference (4) are available from request.

The programs in reference (5) are available from request.

The programs in reference (6) are available from request.

The programs in reference (7) are available from request.

The programs in reference (8) are available from request.

The programs in reference (9) are available from request.

The programs in reference (10) are available from request.

(11) A set of ODE/DAE/PDE applications is available from: link.

(12) An introductory comparison of Matlab and R programming with ODE/PDE examples is available from link (view the pdf file in full screen/page fit mode). The Matlab and R routines are included here (in subdirectories ode, pde).

(13) Comparative Matlab and R programming for a parabolic PDE (Fourier's second law), a hyperbolic PDE (linear wave equation) and an elliptic PDE (Laplace's equation) as discussed in Scholarpedia is available from link. The Matlab and R routines are included here (in subdirectories para, hyper, elliptic).

(14) The dss (differentiation in space subroutines) routines for PDE method of lines (MOL) analysis are available in Fortran, Matlab and R from link. These routines are documented internally with comments. Additional documentaion is in Refs. (1), (6).

Several method of lines (MOL) applications, based partly on the routines in references (1) to (5), are available fromhttp://www.ma.ic.ac.uk/~jcash/IVP_software/sparseode.html

If you download any of the software, we would appreciate having your name, affiliation and e-mail address so that we can notify you of corrections and updates. Please send this information or questions to [email protected].

http://www.pdecomp.net/