Solution techniques for elementary partial differential equations. (©2010)
- Record Type:
- Book
- Title:
- Solution techniques for elementary partial differential equations. (©2010)
- Main Title:
- Solution techniques for elementary partial differential equations
- Further Information:
- Note: Christian Constanda.
- Other Names:
- Constanda, C (Christian)
- Contents:
- Ordinary Differential Equations: Brief Revision ; First-Order Equations; Homogeneous Linear Equations with Constant Coefficients; Nonhomogeneous Linear Equations with Constant Coefficients; Cauchy–Euler Equations; Functions and Operators Fourier Series; The Full Fourier Series; Fourier Sine Series; Fourier Cosine Series; Convergence and Differentiation; Sturm–Liouville Problems ; Regular Sturm–Liouville Problems; Other Problems; Bessel Functions; Legendre Polynomials; Spherical Harmonics Some Fundamental Equations of Mathematical Physics ; The Heat Equation; The Laplace Equation; The Wave Equation; Other Equations The Method of Separation of Variables; The Heat Equation; The Wave Equation; The Laplace Equation; Other Equations; Equations with More than Two Variables Linear Nonhomogeneous Problems ; Equilibrium Solutions; Nonhomogeneous Problems The Method of Eigenfunction Expansion ; The Heat Equation; The Wave Equation; The Laplace Equation; Other Equations The Fourier Transformations ; The Full Fourier Transformation; The Fourier Sine and Cosine Transformations; Other Applications The Laplace Transformation; Definition and Properties; Applications The Method of Green’s Functions ; The Heat Equation; The Laplace Equation; The Wave Equation General Second-Order Linear Partial Differential Equations with Two Independent Variables; The Canonical Form; Hyperbolic Equations; Parabolic Equations; Elliptic Equations The Method of Characteristics ; First-Order Linear Equations;Ordinary Differential Equations: Brief Revision ; First-Order Equations; Homogeneous Linear Equations with Constant Coefficients; Nonhomogeneous Linear Equations with Constant Coefficients; Cauchy–Euler Equations; Functions and Operators Fourier Series; The Full Fourier Series; Fourier Sine Series; Fourier Cosine Series; Convergence and Differentiation; Sturm–Liouville Problems ; Regular Sturm–Liouville Problems; Other Problems; Bessel Functions; Legendre Polynomials; Spherical Harmonics Some Fundamental Equations of Mathematical Physics ; The Heat Equation; The Laplace Equation; The Wave Equation; Other Equations The Method of Separation of Variables; The Heat Equation; The Wave Equation; The Laplace Equation; Other Equations; Equations with More than Two Variables Linear Nonhomogeneous Problems ; Equilibrium Solutions; Nonhomogeneous Problems The Method of Eigenfunction Expansion ; The Heat Equation; The Wave Equation; The Laplace Equation; Other Equations The Fourier Transformations ; The Full Fourier Transformation; The Fourier Sine and Cosine Transformations; Other Applications The Laplace Transformation; Definition and Properties; Applications The Method of Green’s Functions ; The Heat Equation; The Laplace Equation; The Wave Equation General Second-Order Linear Partial Differential Equations with Two Independent Variables; The Canonical Form; Hyperbolic Equations; Parabolic Equations; Elliptic Equations The Method of Characteristics ; First-Order Linear Equations; First-Order Quasilinear Equations; The One-Dimensional Wave Equation; Other Hyperbolic Equations Perturbation and Asymptotic Methods; Asymptotic Series; Regular Perturbation Problems; Singular Perturbation Problems Complex Variable Methods; Elliptic Equations; Systems of Equations Answers to Odd-Numbered Exercises Appendix Bibliography Index Exercises appear at the end of each chapter. … (more)
- Edition:
- 2nd ed
- Publisher Details:
- Boca Raton, FL : Chapman & Hall/CRC
- Publication Date:
- 2010
- Copyright Date:
- 2010
- Extent:
- 1 online resource (xviii, 325 pages), illustrations
- Subjects:
- 518/.64
Differential equations, Partial -- Numerical solutions
Differential equations, Partial -- Numerical solutions
MATHEMATICS / Numerical Analysis
Electronic books - Languages:
- English
- ISBNs:
- 9781439811405
1439811407
1322612153
9781322612157 - Notes:
- Note: Includes bibliographical references (pages 319-320) and index.
Note: Print version record. - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.149001
- Ingest File:
- 01_035.xml