An idea of relaxing the effect of delay when computing the Runge-Kutta stages in the current step and a class of two-step continuity Runge-Kutta methods （TSCRK） is presented. Their construction, their order conditio...An idea of relaxing the effect of delay when computing the Runge-Kutta stages in the current step and a class of two-step continuity Runge-Kutta methods （TSCRK） is presented. Their construction, their order conditions and their convergence are studied. The two-step continuity Runge-Kutta methods possess good numerical stability properties and higher stage-order, and keep the explicit process of computing the Runge-Kutta stages. The numerical experiments show that the TSCRK methods are efficient.展开更多
This paper takes the evaluation of overall economic benefit by an example and proposes a simple additive weighting method for time-series multiindices decision making. The method can automatically determine the weight...This paper takes the evaluation of overall economic benefit by an example and proposes a simple additive weighting method for time-series multiindices decision making. The method can automatically determine the weight coefficients among the multiindices and the years respectively and it also can obtain the objective evaluation results and conclusions.展开更多
A series of sufficient and necessary conditions for the algebraic stability of multistepRunge-Kutta methods is obtained, most of which can be regarded as extension of the relevant results available for Runge-Kutta met...A series of sufficient and necessary conditions for the algebraic stability of multistepRunge-Kutta methods is obtained, most of which can be regarded as extension of the relevant results available for Runge-Kutta methods, especially, for Radau Ⅰ A, Radau Ⅱ A and Gaussian Runge-Kutta methods.展开更多
In this paper, a rather general class of explicit parallel multistep Runge-Kutta methods is constructed for solving initial value problem of ordinary differential equations. Also, the corresponding convergence and sta...In this paper, a rather general class of explicit parallel multistep Runge-Kutta methods is constructed for solving initial value problem of ordinary differential equations. Also, the corresponding convergence and stability are analysed. Several parallel computational formulae are given. The numerical experiments, including accuracy, speedup, and efficiency tests show that the methods are efficient.展开更多
Properties of hydroxyapatite （HA, Ca10（PO4）6（OH）2）, including bioactivity, biocompatibility, solubility and adsorption could be tailored over wide ranges by the control of particle composition, particle size and...Properties of hydroxyapatite （HA, Ca10（PO4）6（OH）2）, including bioactivity, biocompatibility, solubility and adsorption could be tailored over wide ranges by the control of particle composition, particle size and morphology. In order to satisfy various applications, well-crystallized pure HA nanoparticles were synthesized at moderate temperatures by hydrotherrnal synthesis, and HA nanoparticles with different lengths were obtained by adding organic additives. X-ray diffractometry （XRD） and Fourier transform infrared （FTIR） spectrometry were used to characterize these nanoparticles, and the morphologies of the HA particles were observed by transmission electron microscopy （TEM）. The results demonstrate that shorter rod-like HA particles can be prepared by adding cetyltrimethylammonium bromide （CTAB）, as the additive of CTAB can block the HA crystal growth along with c-axis. And whisker HA particles are obtained by adding ethylenediamine tetraacetic acid （EDTA）, since EDTA may have effect on the dissolution-repreeipitation process of HA.展开更多
The Filon-type quadrature is efficient for highly oscillatory functions - Fourier transforms. Based on Cox and Matthews' ETD schemes, the higher order single step exponential time differencing schemes are presente...The Filon-type quadrature is efficient for highly oscillatory functions - Fourier transforms. Based on Cox and Matthews' ETD schemes, the higher order single step exponential time differencing schemes are presented based on the Filon-type integration and the A-stability of the two-order Adams-Bashforth exponential time differencing scheme is considered. The effectiveness and accuracy of the schemes is tested.展开更多
本试验旨在研究6种干燥方式对仿生消化法测定猪饲料氨基酸消化率及其可加性的影响,从而为饲料氨基酸效价快速评定方法的建立提供参考。试验采取随机区组设计,选用5种试验饲粮(4种猪常用的饲料原料:玉米、小麦、豆粕、小麦麸,以及以上述...本试验旨在研究6种干燥方式对仿生消化法测定猪饲料氨基酸消化率及其可加性的影响,从而为饲料氨基酸效价快速评定方法的建立提供参考。试验采取随机区组设计,选用5种试验饲粮(4种猪常用的饲料原料:玉米、小麦、豆粕、小麦麸,以及以上述4种原料配制的全价饲粮),经过体外模拟消化后的残渣采用6种干燥方式进行后处理:处理1:55℃风干+同步测水分;处理2:55℃风干+105℃绝干;处理3:65℃风干+同步测水分;处理4:65℃风干+105℃绝干;处理5:65℃风干(加2 mL 1 mol·L^(-1)盐酸)+105℃绝干;处理6:冻干。对不同干燥方式处理后的样品进行称重和氨基酸含量测定,计算干物质和氨基酸消化率,同时以无氮饲粮测定的内源损失将其校正到标准氨基酸消化率。每个处理每种饲粮5个重复,每个重复1根消化管。结果表明:1)玉米、小麦和全价饲粮的干物质消化率在6种干燥方式间均无显著差异(P>0.05);但是在豆粕上处理6的干物质消化率显著高于处理2、处理4、处理5(P<0.05);在小麦麸上处理3、处理5的干物质消化率显著高于其余4个处理组(P<0.05);2)在豆粕和全价饲粮上,6种干燥方式间的氨基酸消化率均无显著差异(P>0.05);在玉米上,处理3、处理6的氨基酸消化率显著低于处理5(P<0.05);在小麦上,处理1和处理3的氨基酸消化率显著高于其他4个处理组(P<0.05);在小麦麸上,处理3、处理4和处理5的氨基酸消化率显著高于其他3个处理组(P<0.05)。进一步,以原料和饲粮为区组的分析结果表明,6种干燥方式间的氨基酸消化率无显著差异(P>0.05);3)全价饲粮可消化氨基酸含量的计算值与实测值在处理2与处理6上的相对偏差均小于5%,且与Y=X相比斜率无显著差异(P>0.05)。综上,在采用仿生消化法评定猪饲料的氨基酸消化率时,55℃风干+105℃绝干的干燥方式处理消化残渣与冻干法相近,且具有较好的可加性。展开更多
文摘An idea of relaxing the effect of delay when computing the Runge-Kutta stages in the current step and a class of two-step continuity Runge-Kutta methods （TSCRK） is presented. Their construction, their order conditions and their convergence are studied. The two-step continuity Runge-Kutta methods possess good numerical stability properties and higher stage-order, and keep the explicit process of computing the Runge-Kutta stages. The numerical experiments show that the TSCRK methods are efficient.
文摘This paper takes the evaluation of overall economic benefit by an example and proposes a simple additive weighting method for time-series multiindices decision making. The method can automatically determine the weight coefficients among the multiindices and the years respectively and it also can obtain the objective evaluation results and conclusions.
文摘A series of sufficient and necessary conditions for the algebraic stability of multistepRunge-Kutta methods is obtained, most of which can be regarded as extension of the relevant results available for Runge-Kutta methods, especially, for Radau Ⅰ A, Radau Ⅱ A and Gaussian Runge-Kutta methods.
文摘In this paper, a rather general class of explicit parallel multistep Runge-Kutta methods is constructed for solving initial value problem of ordinary differential equations. Also, the corresponding convergence and stability are analysed. Several parallel computational formulae are given. The numerical experiments, including accuracy, speedup, and efficiency tests show that the methods are efficient.
基金Project(20070410304) supported by Postdoctoral Foundation of ChinaProject(07JJ3105) supported by Hunan Provincial Natural Science Foundation of China
文摘Properties of hydroxyapatite （HA, Ca10（PO4）6（OH）2）, including bioactivity, biocompatibility, solubility and adsorption could be tailored over wide ranges by the control of particle composition, particle size and morphology. In order to satisfy various applications, well-crystallized pure HA nanoparticles were synthesized at moderate temperatures by hydrotherrnal synthesis, and HA nanoparticles with different lengths were obtained by adding organic additives. X-ray diffractometry （XRD） and Fourier transform infrared （FTIR） spectrometry were used to characterize these nanoparticles, and the morphologies of the HA particles were observed by transmission electron microscopy （TEM）. The results demonstrate that shorter rod-like HA particles can be prepared by adding cetyltrimethylammonium bromide （CTAB）, as the additive of CTAB can block the HA crystal growth along with c-axis. And whisker HA particles are obtained by adding ethylenediamine tetraacetic acid （EDTA）, since EDTA may have effect on the dissolution-repreeipitation process of HA.
基金Projects(02JJY2006, 03JJY2001) supported by Natural Science Foundation of Hunan Province project supported by JSPS Fellowship Research Program
文摘The Filon-type quadrature is efficient for highly oscillatory functions - Fourier transforms. Based on Cox and Matthews' ETD schemes, the higher order single step exponential time differencing schemes are presented based on the Filon-type integration and the A-stability of the two-order Adams-Bashforth exponential time differencing scheme is considered. The effectiveness and accuracy of the schemes is tested.
文摘本试验旨在研究6种干燥方式对仿生消化法测定猪饲料氨基酸消化率及其可加性的影响,从而为饲料氨基酸效价快速评定方法的建立提供参考。试验采取随机区组设计,选用5种试验饲粮(4种猪常用的饲料原料:玉米、小麦、豆粕、小麦麸,以及以上述4种原料配制的全价饲粮),经过体外模拟消化后的残渣采用6种干燥方式进行后处理:处理1:55℃风干+同步测水分;处理2:55℃风干+105℃绝干;处理3:65℃风干+同步测水分;处理4:65℃风干+105℃绝干;处理5:65℃风干(加2 mL 1 mol·L^(-1)盐酸)+105℃绝干;处理6:冻干。对不同干燥方式处理后的样品进行称重和氨基酸含量测定,计算干物质和氨基酸消化率,同时以无氮饲粮测定的内源损失将其校正到标准氨基酸消化率。每个处理每种饲粮5个重复,每个重复1根消化管。结果表明:1)玉米、小麦和全价饲粮的干物质消化率在6种干燥方式间均无显著差异(P>0.05);但是在豆粕上处理6的干物质消化率显著高于处理2、处理4、处理5(P<0.05);在小麦麸上处理3、处理5的干物质消化率显著高于其余4个处理组(P<0.05);2)在豆粕和全价饲粮上,6种干燥方式间的氨基酸消化率均无显著差异(P>0.05);在玉米上,处理3、处理6的氨基酸消化率显著低于处理5(P<0.05);在小麦上,处理1和处理3的氨基酸消化率显著高于其他4个处理组(P<0.05);在小麦麸上,处理3、处理4和处理5的氨基酸消化率显著高于其他3个处理组(P<0.05)。进一步,以原料和饲粮为区组的分析结果表明,6种干燥方式间的氨基酸消化率无显著差异(P>0.05);3)全价饲粮可消化氨基酸含量的计算值与实测值在处理2与处理6上的相对偏差均小于5%,且与Y=X相比斜率无显著差异(P>0.05)。综上,在采用仿生消化法评定猪饲料的氨基酸消化率时,55℃风干+105℃绝干的干燥方式处理消化残渣与冻干法相近,且具有较好的可加性。
