Andere Kunden interessierten sich auch für
![Algorithms in Invariant Theory (eBook, PDF)]( "Algorithms in Invariant Theory (eBook, PDF)")
Algorithms in Invariant Theory (eBook, PDF)139,09 €![Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory (eBook, PDF)]( "Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory (eBook, PDF)")
Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory (eBook, PDF)223,63 €![An Introduction to Computational Origami (eBook, PDF)]( "An Introduction to Computational Origami (eBook, PDF)")
An Introduction to Computational Origami (eBook, PDF)171,19 €![Integration in Finite Terms: Fundamental Sources (eBook, PDF)]( "Integration in Finite Terms: Fundamental Sources (eBook, PDF)")
Integration in Finite Terms: Fundamental Sources (eBook, PDF)171,19 €![Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra (eBook, PDF)]( "Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra (eBook, PDF)")
Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra (eBook, PDF)96,29 €![Max-Plus Linear Stochastic Systems and Perturbation Analysis (eBook, PDF)]( "Max-Plus Linear Stochastic Systems and Perturbation Analysis (eBook, PDF)")
Max-Plus Linear Stochastic Systems and Perturbation Analysis (eBook, PDF)171,19 €![Linear Programming Computation (eBook, PDF)]( "Linear Programming Computation (eBook, PDF)")
Linear Programming Computation (eBook, PDF)255,73 €
The central subject of the book is the generalization of Loewy's decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available in the literature are obtained algorithmically. The border of decidability for generating a Loewy decomposition are explicitly stated. The methods applied may be generalized in an obvious way to equations of higher order, in more variables or systems of such equations.
From the reviews:
"This monograph pretends to describe the start point for developing a systematic way for solving linear partial differential equations (PDE's) based on the Loewy's decomposition method, working in an proper ring of differential operators and including algorithmic alternatives for several problems considered in classic literature. ... this monograph is truly a guide book for the problem of decomposing differential operators, written in a very clear and objective language, and providing the necessary tools towards more general problems." (Ana Rita Martins, Zentralblatt MATH, Vol. 1261, 2013)
"This monograph pretends to describe the start point for developing a systematic way for solving linear partial differential equations (PDE's) based on the Loewy's decomposition method, working in an proper ring of differential operators and including algorithmic alternatives for several problems considered in classic literature. ... this monograph is truly a guide book for the problem of decomposing differential operators, written in a very clear and objective language, and providing the necessary tools towards more general problems." (Ana Rita Martins, Zentralblatt MATH, Vol. 1261, 2013)