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RungeKutta methods
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1	T H E O RY A N D M E T H O D S F O R O N E - S T E P O D E S David F. Gleich April 19, 2016 These notes are based on sections 5.3, 5.4, 5.5, 5.6, and 5.7 in Gautschi’s Numerical Analysis Add to Reading List Source URL: www.cs.purdue.edu Language: English - Date: 2016-04-28 13:04:54 Mathematical analysis Mathematics Differential calculus RungeKutta methods Ordinary differential equations Numerical analysis Euler method Leonhard Euler Truncation error Derivative PicardLindelf theorem Lipschitz continuity
2	Noname manuscript No. (will be inserted by the editor) A Linearly Fourth Order Multirate Runge-Kutta Method with Error Control Pak-Wing Fok Add to Reading List Source URL: udel.edu Language: English - Date: 2015-03-08 19:12:29 Mathematical analysis Differential calculus RungeKutta methods Numerical analysis Numerical methods for ordinary differential equations Stiff equation Truncation error CashKarp method Richardson extrapolation
3	Implicit-Explicit Time Integration of a High-Order Particle-in-Cell Method with Hyperbolic Divergence Cleaning. G.B. Jacobs a J.S. Hesthaven b a Department b Division Add to Reading List Source URL: attila.sdsu.edu Language: English - Date: 2008-08-19 15:53:19 Numerical analysis Differential calculus Computational science Computational fluid dynamics Ordinary differential equations RungeKutta methods Particle-in-cell Numerical methods for ordinary differential equations Temporal discretization Stiff equation Finite volume method Parareal
4	Applied Numerical Mathematics–414 On the behavior of the total variation in CWENO methods for conservation laws Doron Levy a,∗,1 , Gabriella Puppo b,2 , Giovanni Russo c,3 a Département de Mathématiq Add to Reading List Source URL: www.dmi.unict.it Language: English - Date: 2001-01-09 10:58:00 Computational fluid dynamics Computational science Mathematical analysis Differential calculus Finite difference method CourantFriedrichsLewy condition Total variation diminishing Stencil Chi-Wang Shu RungeKutta method High-resolution scheme Shock capturing method
5	Staggered Finite Difference Schemes for Balance Laws Gabriella Puppo and Giovanni Russo Abstract. In this paper a new family of high-order finite-difference shock-capturing central schemes for hyperbolic systems with sti Add to Reading List Source URL: www.dmi.unict.it Language: English - Date: 2005-02-08 09:42:14 Numerical analysis Mathematical analysis Computational fluid dynamics Computational science Shock capturing method Finite volume method Partial differential equation Finite difference method CourantFriedrichsLewy condition RungeKutta methods Discretization
6	Microsoft PowerPoint - simplectic_integration Add to Reading List Source URL: physics.indiana.edu Language: English - Date: 2014-12-09 09:05:12 Hamiltonian mechanics Symplectic integrator RungeKutta methods Semi-implicit Euler method Canonical transformation Leapfrog integration Symplectic group
7	Lecture Notes: Integration of Ordinary Differential Equations Homer Reid February 13, 2014 Contents Add to Reading List Source URL: homerreid.dyndns.org Language: English - Date: 2015-10-27 00:55:04 RungeKutta methods Differential calculus Calculus Mathematical analysis Differential equations Euler method Leonhard Euler Ordinary differential equation Linear differential equation Partial differential equations
8	Introduction to Numerical Analysis Spring 2016 Problem Set 3 Solutions Homer Reid February 25, 2016 Problem 1. (a) To evaluate Add to Reading List Source URL: homerreid.dyndns.org Language: English - Date: 2016-02-25 23:38:45 RungeKutta methods Midpoint method
9	kpp-2.2_RungeKutta.dvi Add to Reading List Source URL: eprints.cs.vt.edu Language: English - Date: 2006-07-11 08:44:54 Kinetic PreProcessor Science Stiff equation Autochem Numerical integration Integrator Dynamic errors of numerical methods of ODE discretization Chemical kinetics Environmental chemistry Runge–Kutta methods