# Modern numerical methods in engineering

#### Detalii

Anul apariției
2012
Autor(i)
Pagini
484
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Prețul de vânzare 35,00 lei
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#### Descriere

The book is addressed especially for Bsc and MSc students of technical universities, but it is also for all those specialists eho are working or researching physical/technical/mathematical models of different processes.

CONTENTS

Preface

Contents

FIRST PART

Ch. 1. AN INTRODUCTION TO MATHEMATICA

- 1.1. Initial notions

- 1.2. Structured objects

- 1.3. Processing objects in Mathematica

- 1.4. Graphics in Mathematica

- 1.5. Programming elements under Mathematica

- 1.6. references

Ch. 2. AN INTRODUCTION TO MATLAB

- 2.1. Initial notions

- 2.2. Commands with general effect

- 2.3. Commnads used to control the variables

- 2.4. Predefined constants and variables in MATLAB

- 2.5. File-type in MATLAB

- 2.6. Programming elements in MATLAB

- 2.7. Loops (for, while) and conditional instructions

- 2.8. Graphics in MATLAB

- 2.9. Symbolic and numeric computations in MATLAB

- 2.10. References

Ch. 3. AN INTRODUCTION TO MATHCAD

- 3.2. Mathematical expressions

- 3.4. Range, index and array variables

- 3.5. Matices and vectors

- 3.6. Mathcad 2D and 3D plots

- 3.7. Symbolic computations in Mathcad

- 3.8. Elements of Mathcad programming

- 3.9. References

Ch. 4. NUMERICAL METHODS FOR SOLVING SYSTEMS OF LINEAR EQUATIONS

- 4.1. Direct methods

- 4.2. Iterative methods

- 4.3. Applications

- 4.4. References

Ch. 5. NUMERICAL METHODS FOR SOLVING NONLINEAR EQUATIONS AND SYSTEMS OF NONLINEAR EQUATIONS

- 5.1. Methods for nonlinear equations

- 5.2. Methods for systems of nonlinear equations

- 5.3. Applications

- 5.4. References

Ch. 6. POLYNOMIAL INTERPOLATION. FUNCTION APPROXIMATION

- 6.1. Lagrange and Hermite interpolation

- 6.2. Least squares approximation

- 6.3. Interpolation with spline cubic functions

- 6.4. Applications

- 6.5. References

Ch. 7. NUMERICAL METHODS FOR SOLVING DIFFERENTIAL EQUATIONS ANS SYSTEMS OF DIFFERENTIAL EQUATIONS

- 7.1. General aspects. Method of successive approximations

- 7.2. The direct numerical method (unistep)

- 7.3. The indirect numerical method (multistep)

- 7.4. Applications

- 7.5. References

SECOND PART

Ch. 8. GLOBAL METHOD TO SOLVE SYSTEMS OF NONLINEAR EQUATIONS

- 8.1. Homotopy continuation analysis

- 8.2. Gauss – Jacobi combinatorial method

- 8.3. Parallel computation

- 8.4. References

Ch. 9. FUNDAMENTAL PRINCIPLES OF THE FINITE ELEMENT METHOD (FEM)

- 9.1. Introduction to FEM

- 9.2. Topological properties in the FEM

- 9.3. Local and global systems of coordinates. Interpolation functions

- 9.4. Energetical and numerical methods in FEM. Galerkin’s Method

- 9.5. Mathematical simulation in engineering by FEM

- 9.6. References

Ch. 10. AN INTRODUCTION TO BOUNDARY ELEMENT METHOD (BEM)

-10.1. General aspects. Direct and indirect formulation of the boundary element method

- 10.2. One- Dimensional Problems Solved by BEM

- 10.3. Two-dimensional problems solved by BEM

- 10.4. Some Developments in Applicabillity of CVBEM (Complex Variable Boundary Elements Method)

-10.5. References