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Re: New Mathematica book with new codes

• To: mathgroup at smc.vnet.net
• Subject: [mg40859] Re: [mg40832] New Mathematica book with new codes
• From: David Terr <dterr at wolfram.com>
• Date: Tue, 22 Apr 2003 06:46:45 -0400 (EDT)
• Organization: WRI
• References: <200304211057.GAA22394@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Ferdinand wrote:

>Dear mathgroup,
>With best Easter wishes I would like to announce:
>Appearing:
>Mathematical Methods of Physics and Engineering with Mathematica
>Ferdinand F . Cap, CRC-Press/Chapman and Hall, May 2003,
>ISBN 1584884029,  53 Codes  to be downloaded from ww.crcpress.com,
>see the list below !
>
>1 Introduction
>1.1 What is a boundary problem?
>1.2 Classification of partial differential equations
>1.3 Types of boundary conditions and the collocation method
>1.4 Differential equations as models for nature
>
>2 Boundary problems of ordinary differential equations
>2.1 Linear differential equations
>2.2 Solving linear differential equations
>2.3 Differential equations of physics and engineering
>2.4 Boundary value problems and eigenvalues
>2.5 Boundary value problem as initial value problem
>2.6  Nonlinear ordinary differential equations
>2.7  Solutions of nonlinear differential equations
>
>3 Partial differential equations
>3.1 Coordinate systems and separability and coordinate systems
>3.2 Other methods to reduce partial to ordinary differential equations
>3.3 The method of characteristics
>3.4 Nonlinear partial differential equations
>
>4 Boundary problems with one closed boundary defined by coordinate lines
>
>4.1 Laplace and Poisson equation
>4.2 Conformal mapping in two and three dimensions
>4.3 D?Alembert wave equation and string vibrations
>4.4 Helmholtz equation and membrane vibrations
>4.5 Rods and the plate equation
>4.6 Approximation methods
>4.7 Variational calculus
>4.8 Collocation methods
>
>5 Boundary problems with two closed boundaries
>5.1 Insseparable problems
>5.2 Holes in the domain.Two boundaries belonging to different
>coordinate  systems
>5.3 Corners in the boundary
>
>6 Nonlinear boundary problems
>6.1 Some definitions and examples
>6.2 Moving and free boundaries
>6.3 Waves of large amplitudes. Solitons
>6.4 Rupture of an embankment-type dam
>6.5 Gas flow in a combustion engine
>
>List of codes (1 - 53)
>see:  www.crcpress.com/download
>(F.Cap,  Mathematical Methods in Physics and Engineering with
>Mathematica, ccrcpress and Chapman and Hall, May 2003, ISBN 1584884029
>c1 Equation of motion of a parachutist
>c2 Differentiate and integrate
>c3 The  differential  equation describing the spread of an epidemic
>disease
>c4 The Wronskian of exp(x), exp(2x)
>c5 The most general linear differential equation of second order
>c6 Inhomogeneous equation  of oscillations
>c7 An initial value problem
>c8 Homogeneous boundary value  problem
>c9 Inhomogeneous boundary value problem
>c10 Pick out values of a numerical solution of a problem with varying
>boundary values
>c11 Preparing the shooting method for inhomogeneous boundary value
>problems
>c12 Series expansion of a Lie-series solution
>c13 Learn a loop for the shooting method
>c14 Limit cycle  of the Van der Pol equation
>c15 High  voltage electrostatic parametric generator  US patent
>c16 Phase portrait of the Duffing equation
>c17 Phase portrait Mathieu equation
>c18 Phase portrait of the pendulum equation
>c19 Jacobian  matrix of spherical coordinates
>c20 Vector  analysis: curl  in spherical coordinates
>c21 Separation setup for  the  Laplacian
>c22 Laplace transformation
>c23 Characteristics of one-dimensional flow (3.3.27), see page 119 of
>the book
>c24 Solution of the heat conduction equation using a similarity
>transformation
>c25 Harmonic polynomials as solution of the  Laplacian
>c26 Biharmonic polynomials solve the static homogeneous plate equation
>c27 Generalized Bessel and Kummer equations
>c28 Whittaker, Gegenbauer and Weber equation
>c29 Legendre equation with Rodriguez formula
>c30 Laguerre equation with Rodriguez formula
>c31  Hermite equation with Rodriguez formula
>c32 Vector field - cover of the book
>c33 Conformal  mapping
>c34 2D flow around a cylinder
>c35 Solution of the damped Helmholtz equation
>c36 Free bending vibrations of a rod
>c37 Two boundaries for the  Laplace equation
>c38 Inhomogeneous boundary problem for the Laplace equation
>c39 Nontrivial homogeneous boundary problem of the Laplace equation
>c40 COLLOC, a FORTRAN PROGRAM to calculate the eigenvalues of a
> circular membrane in CARTESIAN COORDINATES
>c41 Eigenvalue problem for a circular membrane.
> Calculation in cartesian coordinates
>c42 Clamped Cassini membrane in cartesian coordinates
>c43 Circular membrane with varying surface mass density.
> Includes four-fold loop
>c44 Circular plate with two  homogeneous boundary conditions
>c45 Laplace equation in polar coordinates with a singularity
>c46 Laplace equation with two different boundaries, inner inhomogeneous
>on a square and outer homogeneous on circle
>c47 Membrane with an homogeneous boundary  condition  on an inner circle
>
>and an inhomogeneous outer boundary condition
>c48 Corner in a boundary curve of a membrane
>c49 Steepening up of a large-amplitude wave
>c50 Envelope soliton
>c51 Laplace equation with outer inhomogeneous boundary  values on square
>
>and inner homogeneous boundary values on circle
>c52 Gaussian elimination
>c53 The shooting method
>
>
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>
This looks like it should be great!

David

• Follow-Ups:
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• References:
  • New Mathematica book with new codes
    • From: Ferdinand <ferdinand.cap@eunet.at>