Search Results - "Partial Differential Equations"

Scaling of Differential Equations by Langtangen, Hans Petter, Pedersen, Geir K.

Table of Contents: “…Preface -- 1 Dimensions and Units -- 2 Ordinary Differential Equations Models -- 3 Basic Partial Differential Equations Models -- Advanced Partial Differential Equations Models -- References -- Index.…”
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Advances in Difference Equations

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Boundary Value Problems

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Complex Analysis and its Synergies

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Stochastics of Environmental and Financial Economics Centre of Advanced Study, Oslo, Norway, 2014-2015 /

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Introduction to Applied Mathematics for Environmental Science by Parkhurst, David F.

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Fields medallists' lectures

Table of Contents: “…On some recent mthods for nonlinear partial differential equations /…”
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Programming for Computations - MATLAB/Octave A Gentle Introduction to Numerical Simulations with MATLAB/Octave / by Linge, Svein, Langtangen, Hans Petter

Table of Contents: “…Preface -- The first few steps -- Basic constructions -- Computing integrals -- Solving ordinary differential equations -- Solving partial differential equations -- Solving nonlinear algebraic equations -- References -- Index .…”
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Programming for Computations - Python A Gentle Introduction to Numerical Simulations with Python / by Linge, Svein, Langtangen, Hans Petter

Table of Contents: “…Preface -- The first few steps -- Basic constructions -- Computing integrals -- Solving ordinary differential equations -- Solving partial differential equations -- Solving nonlinear algebraic equations -- Getting access to Python -- References -- Index .…”
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Continuum and computational mechanics for geomechanical engineers / by Aydan, Ömer

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Fundamental math and physics for scientists and engineers / by Yevick, David, Yevick, Hanna

Table of Contents: “…Problem solving -- Scientific programming -- Elementary mathematics -- Vectors and matrices -- Calculus of a single variable -- Calculus of several variables -- Calculus of vector functions -- Probability theory and statistics -- Complex analysis -- Differential equations -- Transform theory -- Partial differential equations and special functions -- Integral equations and the calculus of variations -- Particle mechanics -- Fluid mechanics -- Special relativity -- Electromagnetism -- Wave motion -- Quantum mechanics -- Atomic physics -- Nuclear and particle physics -- Thermodynamics and statistical mechanics -- Condensed matter physics -- Laboratory methods.…”
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Finite Difference Computing with PDEs A Modern Software Approach / by Langtangen, Hans Petter, Linge, Svein

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Computational fluid dynamics for incompressible flow /

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Mathematical methods for optical physics and engineering by Gbur, Greg

Table of Contents: “…Ordinary differential equations; 15. Partial differential equations; 16. Bessel functions; 17. Legendre functions and spherical harmonics; 18. …”
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Fractional Order Processes : Simulation, Identification, and Control / by Damarla, Seshu Kumar, Kundu, Madhusree

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Computational science and its applications /

Table of Contents: “…Feichtinger Chapter 2: Industrial applications of optimal control for partial differential equations on networks: reduction and decomposition methods applied to the discrete-continuous control of gas flow in complex pipe systems Gunter Leugering Chapter 3: A model to access the role of spatial urban configurations on crowd evacuation dynamics during terrorist attacks D. …”
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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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Mathematical Sciences

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