Verfügbarkeit: Essential partial differential equations

Essential partial differential equations: analytical and computational aspects

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Beteiligte Personen:	Griffiths, David F. (VerfasserIn), Dold, John (VerfasserIn), Silvester, David J. (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	Englisch
Veröffentlicht:	Cham Springer [2015]
Schriftenreihe:	Springer undergraduate mathematics series
Schlagwörter:	Mathematics Partial differential equations Mathematical physics Computer mathematics Partial Differential Equations Mathematical Applications in the Physical Sciences Computational Mathematics and Numerical Analysis Mathematik Mathematische Physik Partielle Differentialgleichung Numerisches Verfahren
Links:	https://doi.org/10.1007/978-3-319-22569-2 https://doi.org/10.1007/978-3-319-22569-2 https://doi.org/10.1007/978-3-319-22569-2 https://doi.org/10.1007/978-3-319-22569-2 https://doi.org/10.1007/978-3-319-22569-2 https://doi.org/10.1007/978-3-319-22569-2 https://doi.org/10.1007/978-3-319-22569-2 https://doi.org/10.1007/978-3-319-22569-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632909&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632909&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	1 Online Ressource (XI, 368 Seiten, 106 illus., 1 illus. in color)
ISBN:	9783319225692
ISSN:	1615-2085
DOI:	10.1007/978-3-319-22569-2

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Datensatz im Suchindex

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adam_text	ESSENTIAL PARTIAL DIFFERENTIAL EQUATIONS / GRIFFITHS, DAVID F. : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS SETTING THE SCENE BOUNDARY AND INITIAL DATA THE ORIGIN OF PDES CLASSIFICATION OF PDES BOUNDARY VALUE PROBLEMS IN R1 FINITE DIFFERENCE METHODS IN R1 MAXIMUM PRINCIPLES AND ENERGY METHODS SEPARATION OF VARIABLES THE METHOD OF CHARACTERISTICS FINITE DIFFERENCE METHODS FOR ELLIPTIC PDES FINITE DIFFERENCE METHODS FOR PARABOLIC PDES FINITE DIFFERENCE METHODS FOR HYPERBOLIC PDES PROJECTS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. ESSENTIAL PARTIAL DIFFERENTIAL EQUATIONS / GRIFFITHS, DAVID F. : 2015 ABSTRACT / INHALTSTEXT THIS VOLUME PROVIDES AN INTRODUCTION TO THE ANALYTICAL AND NUMERICAL ASPECTS OF PARTIAL DIFFERENTIAL EQUATIONS (PDES). IT UNIFIES AN ANALYTICAL AND COMPUTATIONAL APPROACH FOR THESE; THE QUALITATIVE BEHAVIOUR OF SOLUTIONS BEING ESTABLISHED USING CLASSICAL CONCEPTS: MAXIMUM PRINCIPLES AND ENERGY METHODS. NOTABLE INCLUSIONS ARE THE TREATMENT OF IRREGULARLY SHAPED BOUNDARIES, POLAR COORDINATES AND THE USE OF FLUX-LIMITERS WHEN APPROXIMATING HYPERBOLIC CONSERVATION LAWS. THE NUMERICAL ANALYSIS OF DIFFERENCE SCHEMES IS RIGOROUSLY DEVELOPED USING DISCRETE MAXIMUM PRINCIPLES AND DISCRETE FOURIER ANALYSIS. A NOVEL FEATURE IS THE INCLUSION OF A CHAPTER CONTAINING PROJECTS, INTENDED FOR EITHER INDIVIDUAL OR GROUP STUDY, THAT COVER A RANGE OF TOPICS SUCH AS PARABOLIC SMOOTHING, TRAVELLING WAVES, ISOSPECTRAL MATRICES, AND THE APPROXIMATION OF MULTIDIMENSIONAL ADVECTION–DIFFUSION PROBLEMS. THE UNDERLYING THEORY IS ILLUSTRATED BY NUMEROUS EXAMPLES AND THERE ARE AROUND 300 EXERCISES, DESIGNED TO PROMOTE AND TEST UNDERSTANDING. THEY ARE STARRED ACCORDING TO LEVEL OF DIFFICULTY. SOLUTIONS TO ODD-NUMBERED EXERCISES ARE AVAILABLE TO ALL READERS WHILE EVEN-NUMBERED SOLUTIONS ARE AVAILABLE TO AUTHORISED INSTRUCTORS. WRITTEN IN AN INFORMAL YET RIGOROUS STYLE, ESSENTIAL PARTIAL DIFFERENTIAL EQUATIONS IS DESIGNED FOR MATHEMATICS UNDERGRADUATES IN THEIR FINAL OR PENULTIMATE YEAR OF UNIVERSITY STUDY, BUT WILL BE EQUALLY USEFUL FOR STUDENTS FOLLOWING OTHER SCIENTIFIC AN D ENGINEERING DISCIPLINES IN WHICH PDES ARE OF PRACTICAL IMPORTANCE. THE ONLY PREREQUISITE IS A FAMILIARITY WITH THE BASIC CONCEPTS OF CALCULUS AND LINEAR ALGEBRA DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spellingShingle	Griffiths, David F. Dold, John Silvester, David J. Essential partial differential equations analytical and computational aspects Mathematics Partial differential equations Mathematical physics Computer mathematics Partial Differential Equations Mathematical Applications in the Physical Sciences Computational Mathematics and Numerical Analysis Mathematik Mathematische Physik Partielle Differentialgleichung (DE-588)4044779-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd
subject_GND	(DE-588)4044779-0 (DE-588)4128130-5
title	Essential partial differential equations analytical and computational aspects
title_auth	Essential partial differential equations analytical and computational aspects
title_exact_search	Essential partial differential equations analytical and computational aspects
title_full	Essential partial differential equations analytical and computational aspects David F. Griffiths, John W. Dold, David J. Silvester
title_fullStr	Essential partial differential equations analytical and computational aspects David F. Griffiths, John W. Dold, David J. Silvester
title_full_unstemmed	Essential partial differential equations analytical and computational aspects David F. Griffiths, John W. Dold, David J. Silvester
title_short	Essential partial differential equations
title_sort	essential partial differential equations analytical and computational aspects
title_sub	analytical and computational aspects
topic	Mathematics Partial differential equations Mathematical physics Computer mathematics Partial Differential Equations Mathematical Applications in the Physical Sciences Computational Mathematics and Numerical Analysis Mathematik Mathematische Physik Partielle Differentialgleichung (DE-588)4044779-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd
topic_facet	Mathematics Partial differential equations Mathematical physics Computer mathematics Partial Differential Equations Mathematical Applications in the Physical Sciences Computational Mathematics and Numerical Analysis Mathematik Mathematische Physik Partielle Differentialgleichung Numerisches Verfahren
url	https://doi.org/10.1007/978-3-319-22569-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632909&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632909&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
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