Search Results - "numerical method"

Novel Methods for Solving Linear and Nonlinear Integral Equations / by Ray, Santanu Saha, Sahu, Prakash Kumar

Table of Contents: “…Preliminary Concepts. Numerical Methods and Function Approximation. Numerical solutions of Fredholm integral equations by B-spline Wavelet Method. …”
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Optimization of integer/fractional order chaotic systems by metaheuristics and their electronic realization by Tlelo-Cuautle, Esteban, Fraga, Luis Gerardo de la, Guillén-Fernández, Omar, Silva-Juárez, Alejandro

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A numerical primer for the chemical engineer / by Zondervan, Edwin, 1976-

Table of Contents: “…1 The role of models in chemical engineering1.1 Introduction1.2 The idea of a model1.4 Model analysis1.5 Model solution strategies1.6 Summary1.7 Exercises 2 Errors in computer simulations2.1 Introduction2.2 Significant digits2.3 Round-off and truncation errors2.4 Break errors2.5 Loss of digits2.6 Ill-conditioned problems2.7 (Un-)stable methods2.8 Summary2.9 Exercises 3 Linear equations3.1 Introduction3.2 MATLAB3.3 Linear systems3.4 The inverse of a matrix3.5 The determinant of a matrix3.6 Useful properties3.7 Matrix ranking3.8 Eigenvalues and eigenvectors3.9 Spectral decomposition3.10 Summary3.11 Exercises 4 Elimination methods4.1 Introduction4.2 MATLAB4.3 Gaussian elimination4.4 LU factorization4.5 Summary4.6 Exercises 5 Iterative methods5.1 Introduction5.2 Laplace's equation5.3 LU factorization5.5 The Jacobi method5.6 Example for the Jacobi method5.7 Summary5.8 Exercises 6 Nonlinear equations6.1 Introduction6.2 Newton method 1D6.3 Newton method 2D6.4 Reduced Newton step method6.5 Quasi-Newton method6.6 Summary6.7 Exercises 7 Ordinary differential equations7.1 Introduction7.2 Euler's method7.3 Accuracy and stability of Euler's method7.4 The implicit Euler method7.5 Stability of the implicit Euler method7.6 Systems of ODEs7.7 Stability of ODE systems7.8 Stiffness of ODE systems7.9 Higher-order methods7.10 Summary7.11 Exercises 8 Numerical integration8.1 Introduction8.2 Euler's method8.3 The trapezoid method8.4 Simpson's method8.5 Estimation of errors using numerical integration8.6 The Richardson correction8.7 Summary8.8 Exercises 9 Partial differential equations 9.1 Introduction9.2 Transport PDEs9.3 Finite volumes9.4 Discretizing the control volumes9.5 Transfer of heat to fluid in a pipe9.6 Simulation of the heat PDE9.7 Summary9.8 Exercises 10 Data regression and curve fitting10.1 Introduction10.2 The least squares method 10.3 Residual analysis10.4 ANOVA analysis10.5 Confidence limits10.6 Summary10.7 Exercises 11 Optimization11.1 Introduction11.2 Linear programming11.3 Nonlinear programming11.4 Integer programming11.5 Summary11.6 Exercises 12 Basics of MATLAB12.1 Introduction12.2 The MATLAB user interface12.3 The array structure12.4 Basic calculations12.5 Plotting12.6 Reading and writing data12.7 Functions and m-files12.8 Repetitive operations 13 Numerical methods in Excel13.1 Introduction13.2 Basic functions in Excel13.3 The Excel solver13.4 Solving nonlinear equations in Excel13.5 Differentiation in Excel13.6 Curve fitting in Excel 14 Case studies 14.1 Introduction14.2 Modeling a separation system14.3 Modeling a chemical reactor system14.4 PVT behavior of pure substances14.5 Dynamic modeling of a distillation column14.6 Dynamic modeling of an extraction cascade (ODEs)14.7 Distributed parameter models for a tubular reactor14.8 Modeling of an extraction column14.9 Fitting of kinetic data14.10 Fitting of NRTL model parameters14.11 Optimizing a crude oil refinery14.12 Planning in a manufacturing line BibliographyIndex…”
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Wavelet based approximation schemes for singular integral equations / by Panja, M. M. (Madan Mohan), 1960-, Mandal, B. N.

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