81. Ode: ----- Ordinary Differential Equation Solver Previous Contents Next 2.5.20 ode ordinary differential equation solver. CALLING SEQUENCE. y=ode(y0,t0,t,f) y,w,iw=ode(type http://scilabsoft.inria.fr/doc/manual/Docu-html678.html

2.5.20 ode: - ordinary differential equation solver CALLING SEQUENCE y=ode(y0,t0,t,f) [y,w,iw]=ode([type],y0,t0,t [,rtol [,atol]],f [,jac] [,w,iw]) [y,rd,w,iw]=ode("root",y0,t0,t [,rtol [,atol]],f [,jac],ng,g [,w,iw]) y=ode("discrete",y0,k0,kvect,f) PARAMETERS : real vector or matrix (initial conditions). : real scalar (initial time). t : real vector (times at which the solution is computed). f : external (function or character string or list). type : one of the following character string: "adams" "stiff" "rk" "rkf" "fix" "discrete" "roots" rtol,atol : real constants or real vectors of the same size as y jac : external (function or character string or list). w,iw : real vectors. ng : integer. g : external (function or character string or list). : integer (initial time). kvect : integer vector. DESCRIPTION ode is the standard function for solving explicit ODE systems defined by: dy/dt=f(t,y) , y(t0)=y0. It is an interface to various solvers, in particular to ODEPACK. The type of problem solved and the method used depend on the value of the first optional argument type which can be one of the following strings: not given lsoda solver of package ODEPACK is called by default. It automatically selects between nonstiff predictor-corrector Adams method and stiff Backward Differentiation Formula (BDF) method. It uses nonstiff method initially and dynamically monitors data in order to decide which method to use.

82. Key Features A unique iterative linear equation solver is utilized which allows for efficient and robust solution of the coupled pressure/velocity equation system. http://www.mcube.fr/M-Implicit/Keyfeatures.htm

K ey F eatures Conservative equation systems in 3D Incompressible Stokes and Navier-Stokes equations Thermal analysis and conjugate heat transfer Multi-species transport equations Turbulence models One-equation Spalart-Allmaras model LES and dynamic subgrid LES models Component technology Fan component Heat exchanger component Rich set of material options Newtonian and non-Newtonian fluids Porous media Melting and heat of formation User-defined function Full set of boundary conditions Dirichlet and Neumann boundary conditions Periodic and axisymmetric conditions User-defined function Highly effective solver technology Fast and robust iterative linear solvers A novel and highly efficient iterative solver for the fully coupled pressure/velocity equation system Fully parallel on shared and distributed memory machines, transparent to the user Advanced finite element technology Galerkin/Least-Squares finite element method Unstructured mesh: 8-node brick, 6-node wedge and 4-node tetrahedron elements Equal-order (nodal) interpolation for all solution fields, including pressure

83. ESTS0752: VCODE, Ordinary Differential Equation Solver For Stiff And Non-Stiff P ESTS0752 CVODE. (Abstract last modified 21MAR-2001). VCODE, Ordinary Differential equation Solver for Stiff and Non-Stiff Problems http://www.nea.fr/abs/html/ests0752.html

Nuclear Safety Radioactive Waste Radiation Protection Nuclear Development ... Recent programs ESTS0752 CVODE. (Abstract last modified 21-MAR-2001) VCODE, Ordinary Differential Equation Solver for Stiff and Non-Stiff Problems Abstract Table of Contents: NAME COMPUTER PROBLEM SOLUTION ... CATEGORIES 1. NAME OR DESIGNATION OF PROGRAM - CVODE (Stiff/Nonstiff Ordinary Differential Eqn Solver in C, Direct and Iterative Method). 2. COMPUTER FOR WHICH PROGRAM IS DESIGNED AND OTHER MACHINE VERSION PACKAGES AVAILABLE - To request or retrieve programs click on the one of the active versions below. A password and special authorization is required. Explanation of the status codes. Program-name Package-ID Status CVODE ESTS0752/01 Arrived Machines used: Package-ID Orig.Computer Test Computer ESTS0752/01 SUN 3. DESCRIPTION OF PROGRAM OR FUNCTION - CVODE is a package written in ANSI standard C for solving initial value problems for ordinary differential equations. It solves both stiff and non stiff systems. In the stiff case, it includes a variety of options for treating the Jacobian of the system, including dense and band matrix solvers, and a preconditioned Krylov (iterative) solver. 4. METHOD OF SOLUTION - Integration is by Adams or BDF (Backward Differentiation Formula) methods, at user option. Corrector iteration is by functional iteration or Newton iteration. For the solution of linear systems within Newton iteration, users can select a dense solver, a band solver, a diagonal approximation, or a preconditioned Generalized Minimal Residual (GMRES) solver. In the dense and band cases, the user can supply a Jacobian approximation or let CVODE generate it internally. In the GMRES case, the preconditioner is user-supplied.

84. Conference Abstract: Huang, Jingfang We present a new class of fast solvers for ordinary and partial differential equations using finite difference discretizations with adaptive mesh refinement. http://www.math.nyu.edu/research/huangjf/research/dirada.html

A Fast Adaptive Solver for Linear Differential Equations Based on Potential Theory Jingfang Huang Courant Institute of Mathematical Sciences 251 Mercer Street New York, NY 10012 Email : huangjf@cims.nyu.edu Abstract

85. Model Gallery : Particle Tracing, Tokamak The integration of the equation of motion for the particles is preformed using an ordinary differential equation solver. The principle of the tokamak. http://www.comsol.com/showroom/gallery/femlab/23.php

Home Products Training Support User Stories Model Showroom Model Gallery Contact Us This example shows a method for computing charge particle orbits in electromagnetic fields in FEMLAB. The magnetic field of a tokamak is computed, using two equations from the Electromagnetics Module, followed by a electrodynamic simulation of charges particle orbits in the device. The integration of the equation of motion for the particles is preformed using an ordinary differential equation solver. The principle of the tokamak Application areas: Electrical Machines Electromagnetics Particle Tracing Application modes: EM: Quasi-static azimuthal currents EM: Quasi-static meridional currents Type of model: Solvers used: Linear Products used: FEMLAB Electromagnetics Module First Name Last Name Title Company/University Department Address 1 Address 2 City State Zip Code Country USA Italy Canada Belgium Turkey Albania Algeria Andorra Angola Anguilla Antarctica Antigua and Barbuda Argentina Armenia Aruba Australia Austria Azerbaijan Bahamas Bahrain Bangladesh Barbados Belarus Belgium Belize Benin Bermuda Bhutan Bolivia Bonaire Bosnia and Herzegovina Botswana Bouvet Island Brazil British Indian Ocean Territories British Virgin Islands Brunei Bulgaria Burkina Faso Burma Burundi C.A.R.

86. Quadratic Equations And Parabolas http://www.algebra.com/algebra/homework/quadratic/

Quadratic Equations and Parabolas Navigation Algebra.Com Home Algebra Homework Help Quadratic Equations and Parabolas ... My Homework! See the latest 20 problems that you have done. Random SAT word: ligature Know what it means? Vocabulary Game Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo Word Problems Solve and practice cracking word problems. See Also: [NEW!]Practice with Quadratic Equations! Improve Your Test Scores! lesson on Quadratic Formula Welcome to the quadratic equation solver. It gives you not only the answers, but also the complete solution for your equation, so that you can understand better how to solve quadratic equations. We solve equations of form: ax + bx + c = Please enter values of a, b, and c: x x [NEW!]Check out Word Problems involving Quadratics! Example: A rectangle has one side feet longer than the other. The area of the rectangle is ... Customize This Problem Quadratic Equations Explained A quadratic equation is an equation that looks like this: ax +bx+c = where a, b, and c are numbers, called coefficients.

Page 5     81-86 of 86    Back | 1  | 2  | 3  | 4  | 5