In this note we consider some basic, yet unusual, issues pertaining to the accuracy and stability of numerical integration methods to follow the solution of first order and second order initial value problems (IVP). I...In this note we consider some basic, yet unusual, issues pertaining to the accuracy and stability of numerical integration methods to follow the solution of first order and second order initial value problems (IVP). Included are remarks on multiple solutions, multi-step methods, effect of initial value perturbations, as well as slowing and advancing the computed motion in second order problems.展开更多
In this paper, we used an interpolation function with strong trigonometric components to derive a numerical integrator that can be used for solving first order initial value problems in ordinary differential equation....In this paper, we used an interpolation function with strong trigonometric components to derive a numerical integrator that can be used for solving first order initial value problems in ordinary differential equation. This numerical integrator has been tested for desirable qualities like stability, convergence and consistency. The discrete models have been used for a numerical experiment which makes us conclude that the schemes are suitable for the solution of first order ordinary differential equation.展开更多
In this paper, we used an interpolation function to derive a Numerical Integrator that can be used for solving first order Initial Value Problems in Ordinary Differential Equation. The numerical quality of the Integra...In this paper, we used an interpolation function to derive a Numerical Integrator that can be used for solving first order Initial Value Problems in Ordinary Differential Equation. The numerical quality of the Integrator has been analyzed to authenticate the reliability of the new method. The numerical test showed that the finite difference methods developed possess the same monotonic properties with the analytic solution of the sampled Initial Value Problems.展开更多
We present in this paper a numerical method for hypersingular boundary integral equations. This method was developed for planar crack problems： additional edge singularities are known to develop in that case. This pa...We present in this paper a numerical method for hypersingular boundary integral equations. This method was developed for planar crack problems： additional edge singularities are known to develop in that case. This paper includes a rigorous error analysis proving the convergence of our numerical scheme. Three types of examples are covered： the Laplace equation in free space, the linear elasticity equation in free space, and in half space.展开更多
在流态化固体食品超高温杀菌中,可采用静态颗粒法记录杀菌全程颗粒的中心温度,尽管热电偶限制了颗粒运动及表面换热,但在颗粒之间传热学特性相同的情况下,被测定颗粒是系统最冷颗粒,这样首次出现的超高温杀菌条件下固体颗粒食品中心温...在流态化固体食品超高温杀菌中,可采用静态颗粒法记录杀菌全程颗粒的中心温度,尽管热电偶限制了颗粒运动及表面换热,但在颗粒之间传热学特性相同的情况下,被测定颗粒是系统最冷颗粒,这样首次出现的超高温杀菌条件下固体颗粒食品中心温度及杀菌动力学参数实时采集计算的需要。因此研制了一种基于V isua l B as ic6.0,能够完成数据采集和积分运算的食品温度和F值/C值计算机实时采集显示系统。温度传感器采用超细热电偶以适用于小尺寸颗粒。该系统的温度、压力及F值/C值测量准确度分别为±0.1℃、±0.005M Pa及±2.3%。在流态化固体食品超高温杀菌原理验证设备上应用该系统对马铃薯颗粒的进行多路温度采集,F值/C值计算及数据实时显示,证明该系统适用于超高温条件下的食品颗粒杀菌的验证和记录。展开更多
文摘In this note we consider some basic, yet unusual, issues pertaining to the accuracy and stability of numerical integration methods to follow the solution of first order and second order initial value problems (IVP). Included are remarks on multiple solutions, multi-step methods, effect of initial value perturbations, as well as slowing and advancing the computed motion in second order problems.
文摘In this paper, we used an interpolation function with strong trigonometric components to derive a numerical integrator that can be used for solving first order initial value problems in ordinary differential equation. This numerical integrator has been tested for desirable qualities like stability, convergence and consistency. The discrete models have been used for a numerical experiment which makes us conclude that the schemes are suitable for the solution of first order ordinary differential equation.
文摘In this paper, we used an interpolation function to derive a Numerical Integrator that can be used for solving first order Initial Value Problems in Ordinary Differential Equation. The numerical quality of the Integrator has been analyzed to authenticate the reliability of the new method. The numerical test showed that the finite difference methods developed possess the same monotonic properties with the analytic solution of the sampled Initial Value Problems.
文摘We present in this paper a numerical method for hypersingular boundary integral equations. This method was developed for planar crack problems： additional edge singularities are known to develop in that case. This paper includes a rigorous error analysis proving the convergence of our numerical scheme. Three types of examples are covered： the Laplace equation in free space, the linear elasticity equation in free space, and in half space.
文摘在流态化固体食品超高温杀菌中,可采用静态颗粒法记录杀菌全程颗粒的中心温度,尽管热电偶限制了颗粒运动及表面换热,但在颗粒之间传热学特性相同的情况下,被测定颗粒是系统最冷颗粒,这样首次出现的超高温杀菌条件下固体颗粒食品中心温度及杀菌动力学参数实时采集计算的需要。因此研制了一种基于V isua l B as ic6.0,能够完成数据采集和积分运算的食品温度和F值/C值计算机实时采集显示系统。温度传感器采用超细热电偶以适用于小尺寸颗粒。该系统的温度、压力及F值/C值测量准确度分别为±0.1℃、±0.005M Pa及±2.3%。在流态化固体食品超高温杀菌原理验证设备上应用该系统对马铃薯颗粒的进行多路温度采集,F值/C值计算及数据实时显示,证明该系统适用于超高温条件下的食品颗粒杀菌的验证和记录。
