Solutions to Partial Differential Equations: An Introduction 2e
by W. A. Strauss
387 of 654 listed exercises currently have solution PDFs.
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Section 1.1: What is a Partial Differential Equation?
Section 1.2: First-Order Linear Equations
Section 1.3: Flows, Vibrations, and Diffusions
Section 1.4: Initial and Boundary Conditions
Section 1.5: Well-Posed Problems
Section 1.6: Types of Second-Order Equations
Section 5.1: The Coefficients
Section 5.2: Even, Odd, Periodic, and Complex Functions
Section 5.3: Orthogonality and General Fourier Series
Section 5.4: Completeness
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Section 5.5: Completeness and the Gibbs Phenomenon
Section 5.6: Inhomogeneous Boundary Conditions
Section 8.1: Opportunities and Dangers
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Section 8.2: Approximations of Diffusions
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Section 8.3: Approximations of Waves
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Section 8.4: Approximations of Laplace's Equation
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Section 8.5: Finite Element Method
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Section 9.1: Energy and Causality
Section 9.2: The Wave Equation in Space-Time
Section 9.3: Rays, Singularities, and Sources
Section 9.4: The Diffusion and Schrodinger Equation
Section 9.5: The Hydrogen Atom
Section 10.1: Fourier's Method, Revisited
Section 10.2: Vibrations of a Drumhead
Section 10.3: Solid Vibrations in a Ball
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Section 10.4: Nodes
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Section 10.5: Bessel Functions
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Section 10.6: Legendre Functions
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Section 10.7: Angular Momentum in Quantum Mechanics
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Section 11.1: The Eigenvalues Are Minima of the Potential Energy
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Section 11.2: Computation of Eigenvalues
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Section 11.3: Completeness
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Section 11.4: Symmetric Differential Operators
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Section 11.5: Completeness and Separation of Variables
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Section 11.6: Asymptotics of the Eigenvalues
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