MathGroup Archive 2003

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: New Mathematica book with new codes

  • To: mathgroup at smc.vnet.net
  • Subject: [mg40871] Re: New Mathematica book with new codes
  • From: Janusz Kawczak <jkawczak at math.uncc.edu>
  • Date: Tue, 22 Apr 2003 06:48:52 -0400 (EDT)
  • References: <b80jf4$m0v$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

When will the codes be posted at the mentioned site?
Janusz.

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


  • Prev by Date: Re: New Mathematica book with new codes
  • Next by Date: Re: Question on Generating Solids of Revolution
  • Previous by thread: Re: New Mathematica book with new codes
  • Next by thread: RE: Re: New Mathematica book with new codes