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