ARKODE: A Flexible IVP Solver Infrastructure for One-step Methods

نویسندگان

چکیده

We describe the ARKODE library of one-step time integration methods for ordinary differential equation (ODE) initial-value problems (IVPs). In addition to providing standard explicit and diagonally implicit Runge--Kutta methods, also supports designed treat additive splittings IVP, including implicit-explicit (ImEx) multirate infinitesimal (MRI) methods. present role within SUNDIALS suite nonlinear solver libraries, core infrastructure utilities common large classes as well its use ``time stepper'' modules enabling easy incorporation novel algorithms into library. Numerical results show example increasing complexity, highlighting algorithmic flexibility afforded through this infrastructure, include a larger multiphysics application leveraging multiple features from SUNDIALS.

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Theory and Methods for One -step Odes

where f is continuous and outputs an Rd vector. approximation on grid functions Let y(t) be the true solution. LetH be the grid dened by step-sizes: h1 , . . . , hN such that 0 < t1 < . . . < tN satises t i = ∑ l=1 h i .1 Let ∣H∣ = maxi h i . 1 is is just the obvious grid where h i = t i − t i−1 . We are parameterizing it by the step-sizes h i instead of times because h is what shows up in th...

متن کامل

A Flexible Meta-solver Framework for Constraint Solver Collaboration

The solving of multi-domain constraint problems with the help of collaborating solvers has seen extended interest in recent years. We describe the implementation (Meta-S) and extension of a previously proposed theoretical framework of cooperating constraint solvers. Meta-S allows the dynamic integration of arbitrary external (stand-alone) solvers to enable the collaborative processing of constr...

متن کامل

Block Implicit One - Step Methods

A class of one-step methods which obtain a block of r new values at each step are studied. The asymptotic behavior of both implicit and predictor-corrector procedures is examined.

متن کامل

A Constraint Solver for Flexible Protein Models

This paper proposes the formalization and implementation of a novel class of constraints aimed at modeling problems related to placement of multi-body systems in the 3-dimensional space. Each multi-body is a system composed of body elements, connected by joint relationships and constrained by geometric properties. The emphasis of this investigation is the use of multi-body systems to model nati...

متن کامل

A Flexible Solver for Finite Arithmetic Circuits

Arithmetic circuits arise in the context of weighted logic programming languages, such as Datalog with aggregation, or Dyna. A weighted logic program defines a generalized arithmetic circuit— the weighted version of a proof forest, with nodes having arbitrary rather than boolean values. In this paper, we focus on finite circuits. We present a flexible algorithm for efficiently querying node val...

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

ژورنال

عنوان ژورنال: ACM Transactions on Mathematical Software

سال: 2023

ISSN: ['0098-3500', '1557-7295']

DOI: https://doi.org/10.1145/3594632