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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
|
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||