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Focusing on the application of partial differential equations (PDEs) in engineering, this monograph offers a graduate-level exploration beginning with the geometrical interpretation of ordinary differential equations (ODEs) and their relevance to balance laws in continuum physics. It provides an in-depth analysis of first-order PDEs, including shock waves, with practical applications in traffic design and gas dynamics. Subsequent chapters cover second-order equations, emphasizing geometric insights and connections to discrete systems, while addressing uniqueness and various mathematical principles relevant to engineering contexts.
Buchkauf
Partial Differential Equations, Marcelo Epstein
- Sprache
- Erscheinungsdatum
- 2017
- product-detail.submit-box.info.binding
- (Hardcover)
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- Titel
- Partial Differential Equations
- Untertitel
- Mathematical Techniques for Engineers
- Sprache
- Englisch
- Autor*innen
- Marcelo Epstein
- Erscheinungsdatum
- 2017
- Einband
- Hardcover
- Seitenzahl
- 272
- ISBN13
- 9783319552118
- Kategorie
- Technik & Maschinenbau, Mathematik
- Beschreibung
- Focusing on the application of partial differential equations (PDEs) in engineering, this monograph offers a graduate-level exploration beginning with the geometrical interpretation of ordinary differential equations (ODEs) and their relevance to balance laws in continuum physics. It provides an in-depth analysis of first-order PDEs, including shock waves, with practical applications in traffic design and gas dynamics. Subsequent chapters cover second-order equations, emphasizing geometric insights and connections to discrete systems, while addressing uniqueness and various mathematical principles relevant to engineering contexts.