In this paper, a Kansa＇s method is designed to solve numerically the Monge-Ampere equation. The primitive Kansa＇s method is a meshfree method which applying the combination of some radial basis functions （such as H...In this paper, a Kansa＇s method is designed to solve numerically the Monge-Ampere equation. The primitive Kansa＇s method is a meshfree method which applying the combination of some radial basis functions （such as Hardy＇s MQ） to approximate the solution of the linear parabolic, hyperbolic and elliptic problems. But this method is deteriorated when is used to solve nonlinear partial differential equations. We approximate the solution in some local triangular subdomains by using the combination of some cubic polynomials. Then the given problems can be computed in each subdomains independently. We prove the stability and convergence of the new method for the elliptic Monge-Ampere equation. Finally, some numerical experiments are presented to demonstrate the theoretical results.展开更多
We analyze a least-squares asymmetric radial basis function collocation method for solving the modified Helmholtz equations.In the theoretical part,we proved the convergence of the proposed method providing that the c...We analyze a least-squares asymmetric radial basis function collocation method for solving the modified Helmholtz equations.In the theoretical part,we proved the convergence of the proposed method providing that the collocation points are sufficiently dense.For numerical verification,direct solver and a subspace selection process for the trial space(the so-called adaptive greedy algorithm)is employed,respectively,for small and large scale problems.展开更多
Two pandas born in the United States start their new lives in China chinese pandas have long been sent to the other countries as goodwill ambassadors, but in the beginning of February the
The 12th Edgar Snow Symposium was held in Kansas City,Missouri State of the United States from October 18 to 19,2006.The China Society for People’s Friendship Studies sent a delegation headed by its Vice President Me...The 12th Edgar Snow Symposium was held in Kansas City,Missouri State of the United States from October 18 to 19,2006.The China Society for People’s Friendship Studies sent a delegation headed by its Vice President Mei Ping to attend it.Tong Zhiguang,former president of the Export-Import Bank of China and former vice minister of the Ministry of Foreign Trade and Economic Cooperation(now the Ministry of Commerce),Fan Jinshi,director of the Dunhuang Research Institute,and Jiang Chengyu,professor of biology and biochemistry at the Research Institute of Basic Medical Science under the Chinese Academy of Medical Sciences,were specially invited by the American side to attend the symposium.展开更多
Kansas City, Missouri, is not a place most Americans would consider a trend setter. But amid surging global enthusiasm for electric vehicles (EVs), this midsize city located in the middle of the continental United Sta...Kansas City, Missouri, is not a place most Americans would consider a trend setter. But amid surging global enthusiasm for electric vehicles (EVs), this midsize city located in the middle of the continental United States is helping lead the charge. It owes its new reputation as the "EV Mecca of the Midwest" to its electrical utility Evergy (formerly Kansas City Power and Light Company), which joined forces in 2015 with EV charging station manufacturer ChargePoint to install 1000 publicly accessible chargers throughout the Kansas City area [1,2] (Fig. 1).展开更多
AIM: To evaluate Quality of life(QoL) in chronic heart failure(CHF) in relation to Neuroticism personality trait and CHF severity.METHODS: Thirty six consecutive, outpatients with Chronic Heart Failure(6 females and 3...AIM: To evaluate Quality of life(QoL) in chronic heart failure(CHF) in relation to Neuroticism personality trait and CHF severity.METHODS: Thirty six consecutive, outpatients with Chronic Heart Failure(6 females and 30 males, mean age: 54 ± 12 years), with a left ventricular ejection fraction ≤ 45% at optimal medical treatment at the time of inclusion, were asked to answer the Kansas City Cardiomyopathy Questionnaire(KCCQ) for Quality ofLife assessment and the NEO Five-Factor Personality Inventory for personality assessment. All patients un-derwent a symptom limited cardiopulmonary exercise testing on a cycle-ergometer, in order to access CHF severity. A multivariate linear regression analysis us-ing simultaneous entry of predictors was performed to examine which of the CHF variables and of the person-ality variables were correlated independently to QoL scores in the two summary scales of the KCCQ, namely the Overall Summary Scale and the Clinical Summary Scale.RESULTS: The Neuroticism personality trait score had a significant inverse correlation with the Clinical Sum-mary Score and Overall Summary Score of the KCCQ(r =-0.621, P < 0.05 and r =-0.543, P < 0.001, respec-tively). KCCQ summary scales did not show significant correlations with the personality traits of Extraversion, Openness, Conscientiousness and Agreeableness. Mul-tivariate linear regression analysis using simultaneous entry of predictors was also conducted to determine the best linear combination of statistically significant univari-ate predictors such as Neuroticism, VE/VCO2 slope and VO2 peak, for predicting KCCQ Clinical Summary Score. The results show Neuroticism(β =-0.37, P < 0.05), VE/VCO2 slope(β =-0.31, P < 0.05) and VO2 peak(β = 0.37, P < 0.05) to be independent predictors of QoL. In multivariate regression analysis Neuroticism(b =-0.37, P < 0.05), the slope of ventilatory equivalent for carbon dioxide output during exercise,(VE/VCO2 slope)(b =-0.31, P < 0.05) and peak oxygen uptake(VO2 peak),(b = 0.37, P < 0.05) were independent predictors of QoL(adjusted R2 = 0.64; F = 18.89, P < 0.001).CONCLUSION: Neuroticism is independently associat-ed with QoL in CHF. QoL in CHF is not only determined by disease severity but also by the Neuroticism person-ality trait.展开更多
Many reviewers have contributed their expertise and time to the peer review, a critical process to ensure the quality of World Journal of Biological Chemistry. The
In this paper. Kansa′s method and Hermite collocation method with Radial Basis Func-tions is applied to solve partial differential equation. The resultant matrix generated from the Her-mite method is positive definit...In this paper. Kansa′s method and Hermite collocation method with Radial Basis Func-tions is applied to solve partial differential equation. The resultant matrix generated from the Her-mite method is positive definite, which guarantees the reversibility of the matrix. The numerical re-sults indicate that the methods provides reversibility of the matrix. The numerical results indicatethat the method provieds an efficient algorithm for solving partial differential equations.展开更多
基金supported in part by the National Natural Science Foundations of China(No.11426039,11571023,11471329)partially supported by the National Natural Science Foundation of China(No.11501313)+1 种基金the Natural Science Foundation of Ningxia Province(No.NZ15005)the Science Research Project of Ningxia Higher Education(No.NGY2016059)
文摘In this paper, a Kansa＇s method is designed to solve numerically the Monge-Ampere equation. The primitive Kansa＇s method is a meshfree method which applying the combination of some radial basis functions （such as Hardy＇s MQ） to approximate the solution of the linear parabolic, hyperbolic and elliptic problems. But this method is deteriorated when is used to solve nonlinear partial differential equations. We approximate the solution in some local triangular subdomains by using the combination of some cubic polynomials. Then the given problems can be computed in each subdomains independently. We prove the stability and convergence of the new method for the elliptic Monge-Ampere equation. Finally, some numerical experiments are presented to demonstrate the theoretical results.
基金supported by CERG Grants of Hong Kong Research Grant CouncilFRG grants of Hong Kong Baptist University.
文摘We analyze a least-squares asymmetric radial basis function collocation method for solving the modified Helmholtz equations.In the theoretical part,we proved the convergence of the proposed method providing that the collocation points are sufficiently dense.For numerical verification,direct solver and a subspace selection process for the trial space(the so-called adaptive greedy algorithm)is employed,respectively,for small and large scale problems.
文摘Two pandas born in the United States start their new lives in China chinese pandas have long been sent to the other countries as goodwill ambassadors, but in the beginning of February the
文摘The 12th Edgar Snow Symposium was held in Kansas City,Missouri State of the United States from October 18 to 19,2006.The China Society for People’s Friendship Studies sent a delegation headed by its Vice President Mei Ping to attend it.Tong Zhiguang,former president of the Export-Import Bank of China and former vice minister of the Ministry of Foreign Trade and Economic Cooperation(now the Ministry of Commerce),Fan Jinshi,director of the Dunhuang Research Institute,and Jiang Chengyu,professor of biology and biochemistry at the Research Institute of Basic Medical Science under the Chinese Academy of Medical Sciences,were specially invited by the American side to attend the symposium.
文摘Kansas City, Missouri, is not a place most Americans would consider a trend setter. But amid surging global enthusiasm for electric vehicles (EVs), this midsize city located in the middle of the continental United States is helping lead the charge. It owes its new reputation as the "EV Mecca of the Midwest" to its electrical utility Evergy (formerly Kansas City Power and Light Company), which joined forces in 2015 with EV charging station manufacturer ChargePoint to install 1000 publicly accessible chargers throughout the Kansas City area [1,2] (Fig. 1).
文摘AIM: To evaluate Quality of life(QoL) in chronic heart failure(CHF) in relation to Neuroticism personality trait and CHF severity.METHODS: Thirty six consecutive, outpatients with Chronic Heart Failure(6 females and 30 males, mean age: 54 ± 12 years), with a left ventricular ejection fraction ≤ 45% at optimal medical treatment at the time of inclusion, were asked to answer the Kansas City Cardiomyopathy Questionnaire(KCCQ) for Quality ofLife assessment and the NEO Five-Factor Personality Inventory for personality assessment. All patients un-derwent a symptom limited cardiopulmonary exercise testing on a cycle-ergometer, in order to access CHF severity. A multivariate linear regression analysis us-ing simultaneous entry of predictors was performed to examine which of the CHF variables and of the person-ality variables were correlated independently to QoL scores in the two summary scales of the KCCQ, namely the Overall Summary Scale and the Clinical Summary Scale.RESULTS: The Neuroticism personality trait score had a significant inverse correlation with the Clinical Sum-mary Score and Overall Summary Score of the KCCQ(r =-0.621, P < 0.05 and r =-0.543, P < 0.001, respec-tively). KCCQ summary scales did not show significant correlations with the personality traits of Extraversion, Openness, Conscientiousness and Agreeableness. Mul-tivariate linear regression analysis using simultaneous entry of predictors was also conducted to determine the best linear combination of statistically significant univari-ate predictors such as Neuroticism, VE/VCO2 slope and VO2 peak, for predicting KCCQ Clinical Summary Score. The results show Neuroticism(β =-0.37, P < 0.05), VE/VCO2 slope(β =-0.31, P < 0.05) and VO2 peak(β = 0.37, P < 0.05) to be independent predictors of QoL. In multivariate regression analysis Neuroticism(b =-0.37, P < 0.05), the slope of ventilatory equivalent for carbon dioxide output during exercise,(VE/VCO2 slope)(b =-0.31, P < 0.05) and peak oxygen uptake(VO2 peak),(b = 0.37, P < 0.05) were independent predictors of QoL(adjusted R2 = 0.64; F = 18.89, P < 0.001).CONCLUSION: Neuroticism is independently associat-ed with QoL in CHF. QoL in CHF is not only determined by disease severity but also by the Neuroticism person-ality trait.
文摘Many reviewers have contributed their expertise and time to the peer review, a critical process to ensure the quality of World Journal of Biological Chemistry. The
文摘In this paper. Kansa′s method and Hermite collocation method with Radial Basis Func-tions is applied to solve partial differential equation. The resultant matrix generated from the Her-mite method is positive definite, which guarantees the reversibility of the matrix. The numerical re-sults indicate that the methods provides reversibility of the matrix. The numerical results indicatethat the method provieds an efficient algorithm for solving partial differential equations.
