A matrix constructive method for the analytic-numerical solution of coupled partial differential systems

Lucas Jódar; Enrique A. Navarro; M. V. Ferrer

Applications of Mathematics (1995)

  • Volume: 40, Issue: 5, page 391-400
  • ISSN: 0862-7940

Abstract

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In this paper we construct analytic-numerical solutions for initial-boundary value systems related to the equation u t - A u x x - B u = 0 , where B is an arbitrary square complex matrix and A ia s matrix such that the real part of the eigenvalues of the matrix 1 2 ( A + A H ) is positive. Given an admissible error ε and a finite domain G , and analytic-numerical solution whose error is uniformly upper bounded by ε in G , is constructed.

How to cite

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Jódar, Lucas, Navarro, Enrique A., and Ferrer, M. V.. "A matrix constructive method for the analytic-numerical solution of coupled partial differential systems." Applications of Mathematics 40.5 (1995): 391-400. <http://eudml.org/doc/32927>.

@article{Jódar1995,
abstract = {In this paper we construct analytic-numerical solutions for initial-boundary value systems related to the equation $u_t-Au_\{xx\}-Bu=0$, where $B$ is an arbitrary square complex matrix and $A$ ia s matrix such that the real part of the eigenvalues of the matrix $\frac\{1\}\{2\}(A+A^H)$ is positive. Given an admissible error $\varepsilon $ and a finite domain $G$, and analytic-numerical solution whose error is uniformly upper bounded by $\varepsilon $ in $G$, is constructed.},
author = {Jódar, Lucas, Navarro, Enrique A., Ferrer, M. V.},
journal = {Applications of Mathematics},
keywords = {Schur decomposition; partial differential system; eigenvalues bound; matrix norms; analytic-numerical solution; error bounds; matrix constructive method; series expansion; analytic-numerical methods; systems; separation of variables},
language = {eng},
number = {5},
pages = {391-400},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A matrix constructive method for the analytic-numerical solution of coupled partial differential systems},
url = {http://eudml.org/doc/32927},
volume = {40},
year = {1995},
}

TY - JOUR
AU - Jódar, Lucas
AU - Navarro, Enrique A.
AU - Ferrer, M. V.
TI - A matrix constructive method for the analytic-numerical solution of coupled partial differential systems
JO - Applications of Mathematics
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 5
SP - 391
EP - 400
AB - In this paper we construct analytic-numerical solutions for initial-boundary value systems related to the equation $u_t-Au_{xx}-Bu=0$, where $B$ is an arbitrary square complex matrix and $A$ ia s matrix such that the real part of the eigenvalues of the matrix $\frac{1}{2}(A+A^H)$ is positive. Given an admissible error $\varepsilon $ and a finite domain $G$, and analytic-numerical solution whose error is uniformly upper bounded by $\varepsilon $ in $G$, is constructed.
LA - eng
KW - Schur decomposition; partial differential system; eigenvalues bound; matrix norms; analytic-numerical solution; error bounds; matrix constructive method; series expansion; analytic-numerical methods; systems; separation of variables
UR - http://eudml.org/doc/32927
ER -

References

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