# 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

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topJódar, 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 -

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