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Applied Partial Differential Equations [[electronic resource] /] / by J. David Logan
Applied Partial Differential Equations [[electronic resource] /] / by J. David Logan
Autore Logan J. David
Edizione [3rd ed. 2015.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015
Descrizione fisica 1 online resource (XI, 289 p. 51 illus., 6 illus. in color.)
Disciplina 515.353
Collana Undergraduate Texts in Mathematics
Soggetto topico Partial differential equations
Physics
Community ecology, Biotic
Partial Differential Equations
Mathematical Methods in Physics
Community & Population Ecology
Soggetto genere / forma Electronic books.
ISBN 3-319-12493-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface to the Third Edition -- To the Students -- 1: The Physical Origins of Partial Differential Equations -- 1.1 PDE Models -- 1.2 Conservation Laws -- 1.3 Diffusion -- 1.4 Diffusion and Randomness -- 1.5 Vibrations and Acoustics -- 1.6 Quantum Mechanics* -- 1.7 Heat Conduction in Higher Dimensions -- 1.8 Laplace’s Equation -- 1.9 Classification of PDEs -- 2. Partial Differential Equations on Unbounded Domains -- 2.1 Cauchy Problem for the Heat Equation -- 2.2 Cauchy Problem for the Wave Equation -- 2.3 Well-Posed Problems -- 2.4 Semi-Infinite Domains -- 2.5 Sources and Duhamel’s Principle -- 2.6 Laplace Transforms -- 2.7 Fourier Transforms -- 3. Orthogonal Expansions -- 3.1 The Fourier Method -- 3.2 Orthogonal Expansions -- 3.3 Classical Fourier Series.-4. Partial Differential Equations on Bounded Domains -- 4.1 Overview of Separation of Variables -- 4.2 Sturm–Liouville Problems - 4.3 Generalization and Singular Problems -- 4.4 Laplace's Equation -- 4.5 Cooling of a Sphere -- 4.6 Diffusion inb a Disk -- 4.7 Sources on Bounded Domains -- 4.8 Poisson's Equation*.-5. Applications in the Life Sciences.-5.1 Age-Structured Models -- 5.2 Traveling Waves Fronts -- 5.3 Equilibria and Stability -- References -- Appendix A. Ordinary Differential Equations -- Index. .
Record Nr. UNINA-9910299780603321
Logan J. David  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Applied Partial Differential Equations [[electronic resource] /] / by J. David Logan
Applied Partial Differential Equations [[electronic resource] /] / by J. David Logan
Autore Logan J. David
Edizione [1st ed. 1998.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1998
Descrizione fisica 1 online resource (XII, 181 p.)
Disciplina 515
Collana Undergraduate Texts in Mathematics
Soggetto topico Mathematical analysis
Analysis (Mathematics)
Analysis
ISBN 1-4684-0533-0
Classificazione 35-01
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1: The Physical Origins of Partial Differential Equations -- 1.1 Mathematical Models -- 1.2 Conservation Laws -- 1.3 Diffusion -- 1.4 Contaminant Transport in Aquifers* -- 1.5 Vibrations of a String -- 1.6 Quantum Mechanics* -- 1.7 Heat Flow in Three Dimensions -- 1.8 Laplace’s Equation -- 1.9 Acoustics* -- 1.10 Classification of PDEs -- 2: Partial Differential Equations on Unbounded Domains -- 2.1 Cauchy Problem for the Heat Equation -- 2.2 Cauchy Problem for the Wave Equation -- 2.3 Ill-Posed Problems -- 2.4 Semi-Infinite Domains -- 2.5 Sources and Duhamel’s Principle -- 2.6 Laplace Transforms -- 2.7 Fourier Transforms -- 2.8 Solving PDEs Using Computer Algebra Packages -- 3: Orthogonal Expansions -- 3.1 The Fourier Method -- 3.2 Orthogonal Expansions -- 3.3 Classical Fourier Series -- 3.4 Sturm-Liouville Problems -- 4: Partial Differential Equations on Bounded Domains -- 4.1 Separation of Variables -- 4.2 Flux and Radiation Conditions -- 4.3 Laplace’s Equation -- 4.4 Cooling of a Sphere -- 4.5 Diffusion in a Disk -- 4.6 Sources on Bounded Domains -- 4.7 Parameter Identification Problems* -- 4.8 Finite Difference Methods* -- Appendix: Ordinary Differential Equations -- Table of Laplace Transforms -- References.
Record Nr. UNINA-9910480279203321
Logan J. David  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1998
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Applied Partial Differential Equations [[electronic resource] /] / by J. David Logan
Applied Partial Differential Equations [[electronic resource] /] / by J. David Logan
Autore Logan J. David
Edizione [1st ed. 1998.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1998
Descrizione fisica 1 online resource (XII, 181 p.)
Disciplina 515
Collana Undergraduate Texts in Mathematics
Soggetto topico Mathematical analysis
Analysis (Mathematics)
Analysis
ISBN 1-4684-0533-0
Classificazione 35-01
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1: The Physical Origins of Partial Differential Equations -- 1.1 Mathematical Models -- 1.2 Conservation Laws -- 1.3 Diffusion -- 1.4 Contaminant Transport in Aquifers* -- 1.5 Vibrations of a String -- 1.6 Quantum Mechanics* -- 1.7 Heat Flow in Three Dimensions -- 1.8 Laplace’s Equation -- 1.9 Acoustics* -- 1.10 Classification of PDEs -- 2: Partial Differential Equations on Unbounded Domains -- 2.1 Cauchy Problem for the Heat Equation -- 2.2 Cauchy Problem for the Wave Equation -- 2.3 Ill-Posed Problems -- 2.4 Semi-Infinite Domains -- 2.5 Sources and Duhamel’s Principle -- 2.6 Laplace Transforms -- 2.7 Fourier Transforms -- 2.8 Solving PDEs Using Computer Algebra Packages -- 3: Orthogonal Expansions -- 3.1 The Fourier Method -- 3.2 Orthogonal Expansions -- 3.3 Classical Fourier Series -- 3.4 Sturm-Liouville Problems -- 4: Partial Differential Equations on Bounded Domains -- 4.1 Separation of Variables -- 4.2 Flux and Radiation Conditions -- 4.3 Laplace’s Equation -- 4.4 Cooling of a Sphere -- 4.5 Diffusion in a Disk -- 4.6 Sources on Bounded Domains -- 4.7 Parameter Identification Problems* -- 4.8 Finite Difference Methods* -- Appendix: Ordinary Differential Equations -- Table of Laplace Transforms -- References.
Record Nr. UNINA-9910534880003321
Logan J. David  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1998
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A First Course in Differential Equations [[electronic resource] /] / by J. David Logan
A First Course in Differential Equations [[electronic resource] /] / by J. David Logan
Autore Logan J. David
Edizione [3rd ed. 2015.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015
Descrizione fisica 1 online resource (XIII, 369 p. 101 illus., 13 illus. in color.)
Disciplina 515.35
Collana Undergraduate Texts in Mathematics
Soggetto topico Differential equations
Mathematical models
Applied mathematics
Engineering mathematics
Ordinary Differential Equations
Mathematical Modeling and Industrial Mathematics
Applications of Mathematics
Soggetto genere / forma Electronic books.
ISBN 3-319-17852-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface to the Third Edition.-1. First-Order Differential Equations -- 2. Second-Order Linear Equations -- 3. Laplace Transforms -- 4. Linear Systems -- 5. Nonlinear Systems -- 6. Computation of Solutions -- Appendix A. Review and Supplementary Exercises.-Appendix B. Matlab(R) Supplement -- References -- Index.
Record Nr. UNINA-9910299786603321
Logan J. David  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui