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
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New York, NY : , : Springer New York : , : Imprint : Springer, , 1998 | ||
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Lo trovi qui: Univ. Federico II | ||
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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-9910789213203321 |
Logan J. David
![]() |
||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1998 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Applied Partial Differential Equations / / 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
515.353 |
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-9910807832803321 |
Logan J. David
![]() |
||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1998 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
A First Course in Differential Equations / / 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 |
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
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
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Lo trovi qui: Univ. Federico II | ||
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