Why starting from differential equations for computational physics?

Enzo Tonti

首页> 外文期刊>Journal of Computational Physics >Why starting from differential equations for computational physics?

【24h】

Why starting from differential equations for computational physics?

机译：为什么要从计算物理的微分方程开始？

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

The computational methods currently used in physics are based on the discretization of differential equations. This is because the computer can only perform algebraic operations. The purpose of this paper is to critically review this practice, showing how to obtain a purely algebraic formulation of physical laws starting directly from experimental measurements. In other words, we can get an algebraic formulation avoiding any arbitrary process of discretization of differential equations. This formulation has the great merit of maintaining close contact between the mathematical description and the physical phenomenon described.

机译：当前在物理学中使用的计算方法是基于微分方程的离散化。这是因为计算机只能执行代数运算。本文的目的是批判性地回顾这种实践，展示如何直接从实验测量开始获得纯物理定律的代数公式。换句话说，我们可以获得代数公式，避免了任何微分方程离散化的过程。这种表述具有在数学描述和所描述的物理现象之间保持紧密接触的巨大优点。

著录项

来源
《Journal of Computational Physics》 |2014年第2期|共31页
作者
Enzo Tonti;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类数学物理方法;
关键词
Discrete forms; Algebraic formulation; Cell Method; Finite formulation;

机译：离散形式;代数公式;单元法;有限公式;

相似文献

外文文献
中文文献
专利

1. Why starting from differential equations for computational physics? [J] . Enzo Tonti Journal of Computational Physics . 2014,第Pta2期

机译：为什么要从计算物理的微分方程开始？
2. Book-review by Ioan URSU. WHY DAVID HILBERT? Methods of Mathematical Physics, vol. 1 (575 pp, April 1989) Methods of Mathematical Physics, vol. 2, Differential Equations (852 pages, April 1989), by Richard Courant and David Hilbert ? WILEY-VCH [J] . Ioan URSU INCAS Bulletin . 2013,第1期

机译：Ioan URSU的书评。为什么戴维·希尔伯特？数学物理方法，第一卷。 1（575 pp，1989年4月）数学物理方法，第1卷。 2，微分方程（852页，1989年4月），作者Richard Courant和David Hilbert？威利
3. Explicit solutions for space-time fractional partial differential equations in mathematical physics by a new generalized fractional Jacobi elliptic equation-based sub-equation method [J] . Feng Qinghua, Meng Fanwei Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2016,第19期

机译：基于新的基于分数阶雅可比椭圆方程的子方程法的时空分数阶偏微分方程的显式解
4. Design equation comparison between simplified device physic equation and exact device physic equations of the fully differential output 2 stage microwave amplifier implement with BJT [C] . Tripetch Kittipong 2010 IEEE Symposium on Industrial Electronics Applications . 2010

机译：具有BJT的全差分输出2级微波放大器装置的简化器件物理方程与精确器件物理方程之间的设计方程比较
5. Differential Equations in Automorphic Forms and an Application to Particle Physics [D] . Logan, Kimberly Ann Klinger. 2019

机译：自族形式中的微分方程和粒子物理学的应用
6. Second Order Differential Equations of Rank 2 in Physics [O] . Edward Kasner, Don Mittleman 1949

机译：物理学中等级2的二阶微分方程
7. Partitioned Runge-Kutta methods for partial differential equations (The Numerical Solution of Differential Equations and Linear Computation) [O] . Koto Toshiyuki 2003

机译：偏微分方程的分区Runge-Kutta方法（微分方程和线性计算的数值解）
8. Self-Starting Multistep Methods for the Numerical Integration of Ordinary Differential Equations [R] . Mersman, W. A. 1965

机译：常微分方程数值积分的自启动多步法

Why starting from differential equations for computational physics?

摘要

著录项

相似文献

相关主题

期刊订阅