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This book shows how to derive, test and analyze numerical methods for solving differential equations, including both ordinary and partial differential equations. The objective is that students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. Includes an extensive collection of exercises, which develop both the analytical and computational aspects of the material. In addition to more than 100 illustrations, the book includes a large collection of supplemental material: exercise sets, MATLAB computer codes for both student and instructor, lecture slides and movies.
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Informazioni sull?autore
Dalla quarta di copertina
This is a textbook for upper division undergraduates and beginning graduate students. Its objective is that students learn to derive, test and analyze numerical methods for solving differential equations, and this includes both ordinary and partial differential equations. In this sense the book is constructive rather than theoretical, with the intention that the students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. An essential component of this is the exercises, which develop both the analytical and computational aspects of the material. The importance of the subject of the book is that most laws of physics involve differential equations, as do the modern theories on financial assets. Moreover many computer animation methods are now based on physics based rules and are heavily invested in differential equations. Consequently numerical methods for differential equations are important for multiple areas.
The author currently teaches at Rensselaer Polytechnic Institute and is an expert in his field. He has previously published a book with Springer, Introduction to Perturbation Methods.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreSpringer Nature
- Data di pubblicazione2006
- ISBN 10 0387308911
- ISBN 13 9780387308913
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine290
- Contatto del produttorenon disponibile
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Edizione Internazionale
INTRODUCTION TO NUMERICAL METHODS IN DIFFERENTIAL EQUATIONS (PB 2018)
Edizione InternazionaleDa: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.
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Condizione: New. Brand New. Soft Cover International Edition. Different ISBN and Cover Image. Priced lower than the standard editions which is usually intended to make them more affordable for students abroad. The core content of the book is generally the same as the standard edition. The country selling restrictions may be printed on the book but is no problem for the self-use. This Item maybe shipped from US or any other country as we have multiple locations worldwide. Codice articolo ABNR-5656
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INTRODUCTION TO NUMERICAL METHODS IN DIFFERENTIAL EQUATIONS (PB 2018)
Edizione InternazionaleDa: Basi6 International, Irving, TX, U.S.A.
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Condizione: Brand New. New.SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Codice articolo ABEJUNE24-328431
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Edizione Internazionale
INTRODUCTION TO NUMERICAL METHODS IN DIFFERENTIAL EQUATIONS (PB 2018)
Edizione InternazionaleDa: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.
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Condizione: New. Brand New. Soft Cover International Edition. Different ISBN and Cover Image. Priced lower than the standard editions which is usually intended to make them more affordable for students abroad. The core content of the book is generally the same as the standard edition. The country selling restrictions may be printed on the book but is no problem for the self-use. This Item maybe shipped from US or any other country as we have multiple locations worldwide. Codice articolo ABNR-53569
Quantità: 5 disponibili
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Scientific Computing with Ordinary Differential Equations
Da: Attic Books (ABAC, ILAB), London, ON, Canada
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Hardcover. Condizione: ex library-good. Texts in Applied Mathematics 42. xix, 485 p. 24 cm. Ex library with labels on spine and front, ink stamps on top edge and title. Spine a bit faded. Codice articolo 147295
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Introduction to Numerical Methods in Differential Equations
Da: Attic Books (ABAC, ILAB), London, ON, Canada
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Hardcover. Condizione: ex library-very good +. Texts in Applied Mathematics 52. xi, 238 p. 24 cm. Ex library with labels on spine and front, ink stamps on top edge and title. A bit of soiling at top of spine. Codice articolo 147294
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Introduction to Numerical Methods in Differential Equations (Texts in Applied Mathematics, 52, Band 52) [Hardcover] Holmes, Mark H.
Da: SpringBooks, Berlin, Germania
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Hardcover. Condizione: As New. Unread, like new. Immediately dispatched from Germany. Codice articolo CE-2404C-KUECHREGAL-14-1000XS
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Introduction to Numerical Methods in Differential Equations
Print on DemandDa: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The title gives a reasonable rst-order approximation to what this book is about. To explain why, let's start with the expression 'di erential equations.' These are essential in science and engineering, because the laws of nature t- ically result in equations relating spatial and temporal changes in one or more variables.Todevelopanunderstandingofwhatisinvolvedin ndingsolutions, the book begins with problems involving derivatives for only one independent variable, and these give rise to ordinary di erential equations. Speci cally, the rst chapter considers initial value problems (time derivatives), and the second concentrates on boundary value problems (space derivatives). In the succeeding four chapters problems involving both time and space derivatives, partial di erential equations, are investigated. This brings us to the next expression in the title: 'numerical methods.' This is a book about how to transform differential equations into problems that can be solved using a computer.The fact is that computers are only able to solve discrete problems and generally do this using nite-precision arithmetic. What this means is that in deriving and then using a numerical algorithmthecorrectnessofthediscreteapproximationmustbeconsidered,a s must the consequences of round-o error in using oating-point arithmetic to calculatetheanswer.Oneoftheinterestingaspectsofthesubjectisthatwhat appears to be an obviously correct numerical method can result in complete failure. Consequently, although the book concentrates on the derivation and use of numerical methods, the theoretical underpinnings are also presented andusedinthedevelopment. 239 pp. Englisch. Codice articolo 9780387308913
Quantità: 2 disponibili
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Introduction to Numerical Methods in Differential Equations (Texts in Applied Mathematics, Vol. 52) (Texts in Applied Mathematics, 52)
Da: Ria Christie Collections, Uxbridge, Regno Unito
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Condizione: New. In. Codice articolo ria9780387308913_new
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Introduction to Numerical Methods in Differential Equations
Da: AHA-BUCH GmbH, Einbeck, Germania
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The title gives a reasonable rst-order approximation to what this book is about. To explain why, let's start with the expression 'di erential equations.' These are essential in science and engineering, because the laws of nature t- ically result in equations relating spatial and temporal changes in one or more variables.Todevelopanunderstandingofwhatisinvolvedin ndingsolutions, the book begins with problems involving derivatives for only one independent variable, and these give rise to ordinary di erential equations. Speci cally, the rst chapter considers initial value problems (time derivatives), and the second concentrates on boundary value problems (space derivatives). In the succeeding four chapters problems involving both time and space derivatives, partial di erential equations, are investigated. This brings us to the next expression in the title: 'numerical methods.' This is a book about how to transform differential equations into problems that can be solved using a computer.The fact is that computers are only able to solve discrete problems and generally do this using nite-precision arithmetic. What this means is that in deriving and then using a numerical algorithmthecorrectnessofthediscreteapproximationmustbeconsidered,as must the consequences of round-o error in using oating-point arithmetic to calculatetheanswer.Oneoftheinterestingaspectsofthesubjectisthatwhat appears to be an obviously correct numerical method can result in complete failure. Consequently, although the book concentrates on the derivation and use of numerical methods, the theoretical underpinnings are also presented andusedinthedevelopment. Codice articolo 9780387308913
Quantità: 2 disponibili
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Introduction to Numerical Methods in Differential Equations
Da: GreatBookPrices, Columbia, MD, U.S.A.
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Condizione: New. Codice articolo 4161254-n
Quantità: Più di 20 disponibili