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• W2145911136 abstract "Abstract The article contains sections titled: 1. Solution of Equations 1.1. Matrix Properties 1.2. Linear Algebraic Equations 1.3. Nonlinear Algebraic Equations 1.4. Linear Difference Equations 1.5. Eigenvalues 2. Approximation and Integration 2.1. Introduction 2.2. Global Polynomial Approximation 2.3. Piecewise Approximation 2.4. Quadrature 2.5. Least Squares 2.6. Fourier Transforms of Discrete Data 2.7. Two‐Dimensional Interpolation and Quadrature 3. Complex Variables 3.1. Introduction to the Complex Plane 3.2. Elementary Functions 3.3. Analytic Functions of a Complex Variable 3.4. Integration in the Complex Plane 3.5. Other Results 4. Integral Transforms 4.1. Fourier Transforms 4.2. Laplace Transforms 4.3. Solution of Partial Differential Equations by Using Transforms 5. Vector Analysis 6. Ordinary Differential Equations as Initial Value Problems 6.1. Solution by Quadrature 6.2. Explicit Methods 6.3. Implicit Methods 6.4. Stiffness 6.5. Differential ‐ Algebraic Systems 6.6. Computer Software 6.7. Stability, Bifurcations, Limit Cycles 6.8. Sensitivity Analysis 6.9. Molecular Dynamics 7. Ordinary Differential Equations as Boundary Value Problems 7.1. Solution by Quadrature 7.2. Initial Value Methods 7.3. Finite Difference Method 7.4. Orthogonal Collocation 7.5. Orthogonal Collocation on Finite Elements 7.6. Galerkin Finite Element Method 7.7. Cubic B‐Splines 7.8. Adaptive Mesh Strategies 7.9. Comparison 7.10. Singular Problems and Infinite Domains 8. Partial Differential Equations 8.1. Classification of Equations 8.2. Hyperbolic Equations 8.3. Parabolic Equations in One Dimension 8.4. Elliptic Equations 8.5. Parabolic Equations in Two or Three Dimensions 8.6. Special Methods for Fluid Mechanics 8.7. Computer Software 9. Integral Equations 9.1. Classification 9.2. Numerical Methods for Volterra Equations of the Second Kind 9.3. Numerical Methods for Fredholm, Urysohn, and Hammerstein Equations of the Second Kind 9.4. Numerical Methods for Eigenvalue Problems 9.5. Green's Functions 9.6. Boundary Integral Equations and Boundary Element Method 10. Optimization 10.1. Introduction 10.2. Gradient Based Nonlinear Programming 10.3. Optimization Methods without Derivatives 10.4. Global Optimization 10.5. Mixed Integer Programming 10.6. Dynamic Optimization 10.7. Development of Optimization Models 11. Probability and Statistics 11.1. Concepts 11.2. Sampling and Statistical Decisions 11.3. Error Analysis in Experiments 11.4. Factorial Design of Experiments and Analysis of Variance 12. Multivariable Calculus Applied to Thermodynamics 12.1. State Functions 12.2. Applications to Thermodynamics 12.3. Partial Derivatives of All Thermodynamic Functions" @default.
• W2145911136 created "2016-06-24" @default.
• W2145911136 creator A5052825722 @default.
• W2145911136 creator A5056017028 @default.
• W2145911136 creator A5087543853 @default.
• W2145911136 date "2006-12-15" @default.
• W2145911136 modified "2023-10-15" @default.
• W2145911136 title "Mathematics in Chemical Engineering" @default.
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