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Applied Partial Differential Equations

By: Logan, J. David Material type: Text

TextPublication details: New York: Springer, 2015Edition: 3rd edDescription: 289pISBN: 9783319124926Subject(s): Differential equations, Partial | Mathematics DDC classification: 515.353 Online resources: Access e-Book from Publisher

Contents:

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.

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Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	515.353 LOG/A (Browse shelf(Opens below))	Available		P41927

Total holds: 0

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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.

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