An Enhanced ODE Solver for REDUCE

نویسنده

  • Francis J. Wright
چکیده

Work is in progress to extend the REDUCE package ODESOLVE for solving ordinary differential equations (ODEs). The latest version has a more user-friendly and flexible interface, allows conditions to be imposed on solutions and can solve some classes of nonlinear ODEs. It performs well on recently published test examples. The interface supports systems

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

[inria-00450410, v1] New classification techniques for ordinary differential equations

The goal of the present paper is to propose an enhanced ordinary differential equations solver by exploitation of the powerful equivalence method of Élie Cartan. This solver returns a target equation equivalent to the equation to be solved and the transformation realizing the equivalence. The target ODE is a member of a dictionary of ODE, that are regarded as well-known, or at least well-studie...

متن کامل

Exploiting the Multilevel Parallelism and the Problem Structure in the Numerical Solution of Stiff ODEs

A component-based methodology to derive parallel stiff Ordinary Differential Equation (ODE) solvers for multicomputers is presented. The methodology allows the exploitation of the multilevel parallelism of this kind of numerical algorithms and the particular structure of ODE systems by using parallel linear algebra modules. The approach furthers the reusability of the design specifications and ...

متن کامل

COPADS IV: Fixed Time-Step ODE Solvers for a System of Equations Implemented as a Set of Python Functions

Ordinary differential equation (ODE) systems are commonly used many different fields. The de-facto method to implement an ODE system in Python programming using SciPy requires the entire system to be implemented as a single function, which only allow for inline documentation. Although each equation can be broken up into sub-equations, there is no compart-mentalization of sub-equations to its OD...

متن کامل

Recognising and Solving Special Function ODEs

Code to recognise and hence solve the second-order linear ODEs that define the special functions of mathematical physics is being developed for the Reduce ODE solver. It allows an arbitrary, possibly symbolic, affine transformation of the independent variable. At first sight, the problem appears to be one of pattern matching or table look-up, but simple special-purpose code written for each cla...

متن کامل

Error Control Matters

Sometimes an ordinary differential equation (ODE) solver gives the results it should, even if they are unexpected or undesirable. To obtain correct, expected numerical results, both relative and absolute error control tolerances must be chosen judiciously. Here we attempt to clear up some possible misunderstandings regarding the performance of a popular ODE solver and error control.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1996