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Strong Stability Preserving Runge-kutta And Multistep Time Discretizations

This book captures the state-of-the-art in the field of Strong Stability Preserving (SSP) time stepping methods, which have significant;

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Richardson Extrapolation

. Contents The basic properties of Richardson extrapolation Richardson extrapolation for explicit Runge-Kutta methods Linear multistep and;

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Solving Ordinary Differential Equations I

of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Chapter three begins with;

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B-Series

approximate solutions. Through the formulation and manipulation of these series, properties of numerical methods can be assessed. Runge-Kutta methods;

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General Linear Methods for Ordinary Differential Equations

encompasses the related concepts of existence and uniqueness theory, stability theory, and stiff differential equations and systems. In addition, a;

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Numerical Methods For Ordinary Different

methods o Linear multistep methods o Convergence o Stability and a range of modern themes: o Adaptive;

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Spectral Methods for Time-Dependent Problems

polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation;

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Computational Fluid Dynamics

. Moreover, usual simulation methods rely on explicit time discretization methods for which numerical stability of solution is generally guaranteed;

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Computational Fluid Dynamics

, the Discontinuous Galerkin Method, the Lattice Boltzmann Method, higher-order spatial schemes, implicit Runge-Kutta methods and;

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Numerical Methods for Ordinary Differential Equations

is widely regarded as the world expert on Runge-Kutta methods Didactic aspects of the book have been enhanced by interspersing the text with;

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Line Integral Methods for Conservative Problems

systems. Assuming only basic knowledge of numerical quadrature and Runge-Kutta methods, this self-contained book begins with an;

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Line Integral Methods for Conservative Problems

systems. Assuming only basic knowledge of numerical quadrature and Runge-Kutta methods, this self-contained book begins with an;

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Computational Physics

including not only the standard Euler and Runge Kutta method but also multi-step methods and the class of Verlet methods, which is introduced by;

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Numerische Mathematik: Eine Einfuhrung Anhand Von Differentialgleichungsproblemen; Band 1

. Als Diskretisierungstechniken stehen Finite-Elemente-Methoden im Raum und (partitionierte) Runge-Kutta-Methoden in der Zeit im Vordergrund. Die diskretisierten;

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Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and Matlab

This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers;

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Numerical Methods for Ordinary Differential Equations

broad and comprehensive study of numerical methods for initial value problems, this book contains a special emphasis on Runge-Kutta methods by;

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Power System Analysis

impedance matrix. It describes various concepts of power system stability and explains numerical methods such as Euler method, modified Euler method;

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Applications Of Nonstandard Finite Difference Schemes

ecology. Chapter 5 discusses exactness, stability properties, and the symplecticity of various schemes including the conditions for which Runge;

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Efficient High-Order Discretizations for Computational Fluid Dynamics

mainly addresses researchers and doctoral students in engineering, applied mathematics, physics and high-performance computing with a strong;

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Multistep Cognitive Behavioral Therapy for Eating Disorders

disorders called multistep CBT-E (Enhanched) applicable to three different levels of care: outpatient, intensive outpatient, and inpatient). The;

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Advanced Differential Quadrature Methods

problems with strong nonlinearity and material discontinuity as well as for problems involving singularity, irregularity, and multiple scales. But;

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500 Examples and Problems of Applied Differential Equations

equations, second (and higher) order differential equations, first order differential systems, the Runge-Kutta method, and nonlinear boundary value;

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Applied Stochastic Differential Equations

covers the essentials of Ito calculus, the central theorems in the field, and such approximation schemes as stochastic Runge-Kutta. Greater;

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Generalized Hamiltonian Dynamics

binomial potential. The integrals of the motion for this potential were chosen as the constraints of GHD, and use Fradkin's unit Runge vector;

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Fundamentals of Numerical Mathematics for Physicists and Engineers

), differentiation matrices for boundary value problems, Runge-Kutta and linear multistep formulas for initial value problems. Each section concludes with;

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Advanced Excel for Scientific Data Analysis

squares, Fourier transformation, and digital simulation-and illustrates these with extensive examples, often taken from the literature. It also;

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Discretization and Implicit Mapping Dynamics

nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and;

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