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Preview of Forthcoming Books

Author: S. Nakamura

Electronic Edition in English, Soft Cover Edition in English,

and Electronic Edition in Japanese

Distribution: AMAZON.COM

 

Numerical Methods with GNU Octave/Matlab

Expected Release: February 2016

Table of Contents

Preface

1.   Linear Algebra: Matrix and Matrix Equations

2.   Polynomial and Polynomial Interpolation

3.   Numerical Integration

4.   Finding Roots of Nonlinear Equations

5.   Difference Approximation

6.   Curve Fitting

Solution key for Problems

References

 

Ordinary Differential Equations with GNU Octave/Matlab

Expected Release: May 2016

Table of Contents

Preface

1.   Initial Value Problems

            1.1  Second-order Runge-Kutta Method

            1.2  Coupled ODEs

            1.3  Higher-order ODEs

            1.4  Fourth-order Runge-Kutta Method

            1.5  Applications to Mechanical and Electrical Systems

2.   Boundary Value Problems

            2.1   Derivation of Difference Approximations

            2.2   Heat Conduction Problems

            2.3   Boundary Layer Equations

            2.4   Eigenvalue Problems of Neutron Diffusion Equations

References

 

Partial Differential Equations with GNU Octave/Matlab

Expected Release: Late in 2016

Table of Contents

Preface

1.   Elliptic PDEs

            1.1  Finite Difference Methods

            1.2  Iterative Techniques

            1.3  Eigenvalue Problems

            1.4  Coarse Mesh Rebalancing

            1.5  Coordinate Transformation

            1.6  Finite Element and Finite Volume Methods

2.   Parabolic PDEs

3.   Hyperbolic PDEs

            3.1  Fundamental Nature of Hyperbolic PDEs

3.2  Finite Difference Approximations

            3.3  Numerical Viscosity Effects

            3.4  Numerical Experiments   

References