Solving Differential Equations by Parallel Laplace Method with Assured Accuracy

Malaschonok, Natasha. "Solving Differential Equations by Parallel Laplace Method with Assured Accuracy." Serdica Journal of Computing 1.4 (2007): 387-402. <http://eudml.org/doc/11431>.

@article{Malaschonok2007,
abstract = {The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006We produce a parallel algorithm realizing the Laplace transform method for the symbolic solving of differential equations. In this paper we consider systems of ordinary linear differential equations with constant coefficients, nonzero initial conditions and right-hand parts reduced to sums of exponents with polynomial coefficients.},
author = {Malaschonok, Natasha},
journal = {Serdica Journal of Computing},
keywords = {Laplace Transform; Parallel Algorithm; Systems Of Di Erential Equations; Polynomials Of Exponents; Partial Fractions; Systems Of Linear Equations; symbolic computation; numerical examples; Laplace transform; parallel algorithm; systems of differential equations; polynomials of exponents; partial fractions; systems of linear equations},
language = {eng},
number = {4},
pages = {387-402},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Solving Differential Equations by Parallel Laplace Method with Assured Accuracy},
url = {http://eudml.org/doc/11431},
volume = {1},
year = {2007},
}

TY - JOUR
AU - Malaschonok, Natasha
TI - Solving Differential Equations by Parallel Laplace Method with Assured Accuracy
JO - Serdica Journal of Computing
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 1
IS - 4
SP - 387
EP - 402
AB - The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006We produce a parallel algorithm realizing the Laplace transform method for the symbolic solving of differential equations. In this paper we consider systems of ordinary linear differential equations with constant coefficients, nonzero initial conditions and right-hand parts reduced to sums of exponents with polynomial coefficients.
LA - eng
KW - Laplace Transform; Parallel Algorithm; Systems Of Di Erential Equations; Polynomials Of Exponents; Partial Fractions; Systems Of Linear Equations; symbolic computation; numerical examples; Laplace transform; parallel algorithm; systems of differential equations; polynomials of exponents; partial fractions; systems of linear equations
UR - http://eudml.org/doc/11431
ER -