Computation of rational solutions for non-linear differential equations (Paperback)
5 Angebote vergleichen
1
Computation of Rational Solutions for Non-Linear Differential Equations (2015)
EN PB NWISBN: 9783668014237 bzw. 366801423X, in Englisch, GRIN Verlag, Taschenbuch, neu.
Master's Thesis from the year 2015 in the subject Mathematics - Applied Mathematics, grade: 9.5, course: Mathematics, language: English, comment: Polynomial solutions of differential equations is a classical subject, going back to Liouville, Abramov, Bronstein and Petkov ek and it continues to be of interest in applications, as in e.g. [...]. The computation of polynomial solutions of linear differential equations (LDEs) lies at the heart of several important algorithms. The importance of polynomial solutions of differential equations is undoubtable for applications. From one side, they usually lead to closed analytical expressions, allowing to build constructive models of concrete physical phenomena., abstract: We consider a scalar linear differential equation, a linear system and first order non-linear differential equation. We Study the existence of Polynomial solutions and deduce the Rational solutions. We see that both, polynomial and rational solutions, can be computed in a systematic manner. We give multiple algorithms, and their complexities, and we mention the historical evolutions of polynomial solutions and their usefulness in computer algebra. We also see how we can find polynomial solutions of a linear system by bringing it to equivalent with a scalar one. And we finally give an application by detecting linear solutions of a non-linear polynomial differential equation. We give systematic algorithms that can altered to our need.".
2
Computation of rational solutions for non-linear differential equations
DE NWISBN: 9783668014237 bzw. 366801423X, in Deutsch, neu.
Lieferung aus: Deutschland, zzgl. Versandkosten.
Master's Thesis from the year 2015 in the subject Mathematics - Applied Mathematics, grade: 9.5, course: Mathematics, language: English, comment: Polynomial solutions of differential equations is a classical subject, going back to Liouville, Abramov, Bronstein and Petkovsek and it continues to be of interest in applications, as in e.g. [...]. The computation of polynomial solutions of linear differential equations (LDEs) lies at the heart of several important algorithms. The importance of polynomial solutions of differential equations is undoubtable for applications. From one side, they usually lead to closed analytical expressions, allowing to build constructive models of concrete physical phenomena. , abstract: We consider a scalar linear differential equation, a linear systemand first order non-linear differential equation. We Study theexistence of Polynomial solutions and deduce the Rationalsolutions. We see that both, polynomial and rational solutions, can be computed in a systematic manner. We give multiple algorithms, and their complexities, and we mention the historical evolutions ofpolynomial solutions and their usefulness in computer algebra. Wealso see how we can find polynomial solutions of a linear system by bringing it to equivalent with a scalar one. And we finally give anapplication by detecting linear solutions of a non-linear polynomialdifferential equation. We give systematic algorithms that canaltered to our need.
Master's Thesis from the year 2015 in the subject Mathematics - Applied Mathematics, grade: 9.5, course: Mathematics, language: English, comment: Polynomial solutions of differential equations is a classical subject, going back to Liouville, Abramov, Bronstein and Petkovsek and it continues to be of interest in applications, as in e.g. [...]. The computation of polynomial solutions of linear differential equations (LDEs) lies at the heart of several important algorithms. The importance of polynomial solutions of differential equations is undoubtable for applications. From one side, they usually lead to closed analytical expressions, allowing to build constructive models of concrete physical phenomena. , abstract: We consider a scalar linear differential equation, a linear systemand first order non-linear differential equation. We Study theexistence of Polynomial solutions and deduce the Rationalsolutions. We see that both, polynomial and rational solutions, can be computed in a systematic manner. We give multiple algorithms, and their complexities, and we mention the historical evolutions ofpolynomial solutions and their usefulness in computer algebra. Wealso see how we can find polynomial solutions of a linear system by bringing it to equivalent with a scalar one. And we finally give anapplication by detecting linear solutions of a non-linear polynomialdifferential equation. We give systematic algorithms that canaltered to our need.
3
Computation of rational solutions for non-linear differential equations
EN NWISBN: 9783668014237 bzw. 366801423X, in Englisch, GRIN Verlag GmbH, GRIN Verlag GmbH, GRIN Verlag GmbH, neu.
Lieferung aus: Vereinigte Staaten von Amerika, zzgl. Versandkosten, Free Shipping on eligible orders over $25, in-stock.
Yassine Rais, Paperback, English-language edition, Pub by GRIN Verlag GmbH.
Yassine Rais, Paperback, English-language edition, Pub by GRIN Verlag GmbH.
4
Computation of rational solutions for non-linear differential equations (2015)
EN PB NWISBN: 9783668014237 bzw. 366801423X, in Englisch, 66 Seiten, GRIN Verlag, Taschenbuch, neu.
Lieferung aus: Vereinigtes Königreich Grossbritannien und Nordirland, Usually dispatched within 1 to 3 weeks.
Von Händler/Antiquariat, Amazon.co.uk.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Von Händler/Antiquariat, Amazon.co.uk.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
5
Computation of rational solutions for non-linear differential equations
DE PB NWISBN: 9783668014237 bzw. 366801423X, in Deutsch, GRIN Verlag GmbH, Taschenbuch, neu.
Lieferung aus: Vereinigte Staaten von Amerika, في الأوراق المالية, بالإضافة إلى الشحن.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Lade…