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Seismic resilience of retrofitted RC buildings 被引量:5
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作者 Ghazanfar Ali Anwar You Dong 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2020年第3期561-571,共11页
Existing buildings can be at a greater seismic risk due to non-conformance to current design codes and may require structural retrofitting to improve building performance.The performance of buildings is measured in te... Existing buildings can be at a greater seismic risk due to non-conformance to current design codes and may require structural retrofitting to improve building performance.The performance of buildings is measured in terms of immediate consequences due to direct damage,but the continuing impacts related to recovery are not considered in seismic retrofit assessment.This paper introduces a framework of retrofit selection based on the seismic resilience of deficient buildings retrofitted with the conventional mitigation approaches.The assembly-based methodology is considered for the seismic resilience assessment by compiling a nonlinear numerical model and a building performance model.The collapse fragility is developed from the capacity curve,and the resulting social,economic,and environmental consequences are determined.The seismic resilience of a building is assessed by developing a downtime assessment methodology incorporating sequence of repairs,impeding factors,and utility availability.Five functionality states are developed for the building functionality given investigated time interval,and a functionality curve for each retrofit is determined.It is concluded that seismic resilience can be used as a performance indicator to assess the continuing impacts of a hazard for the retrofit selection. 展开更多
关键词 fitted consequences BUILDINGS
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A Microcomputer Fitted Method for Determination of the True ODF of Hexagonal Materials according to the Maximum-Entropy Estimate 被引量:1
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作者 Liqing CHEN Fu WANG Zhide LIANG Dept.of Materials Science and Engineering,Northeast University of Technology.Shenyang,110006,China 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 1993年第1期71-73,共3页
A method which is especially suitable for microcomputer calculation of the true orientation distribution function (ODF) according to the maximum-entropy estimate is proposed for hexagonal system polycrystalline materi... A method which is especially suitable for microcomputer calculation of the true orientation distribution function (ODF) according to the maximum-entropy estimate is proposed for hexagonal system polycrystalline materials with physical symmetry.The resultant computational software system has been also designed and first carried out in a microcomputer PANAFACOM-U1200 being on line with the X-ray diffractometer D/max-3A.The simu- lated calculation shows that the method is concisely pragmatic and easily popularized,while the results obtained are trust worthy. 展开更多
关键词 ODF maximum-entropy estimate microcomputer fitted method
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Parker Test for Heteroskedasticity Based on Sample Fitted Values 被引量:1
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作者 Jingming Jiang Guangming Deng 《Open Journal of Statistics》 2021年第3期400-408,共9页
<p> <span style="font-family:Verdana;">To address the drawbacks of the traditional Parker test in multivariate linear</span><span style="font-family:;" "=""> ... <p> <span style="font-family:Verdana;">To address the drawbacks of the traditional Parker test in multivariate linear</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">models:</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">the process is cumbersome and computationally intensive,</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">we propose a new heteroscedasticity test.</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">A new heteroskedasticity test is proposed using the fitted values of the samples as new explanatory variables, reconstructing the regression model, and giving a new heteroskedasticity test based on the significance test of the coefficients, it is also compared with the existing Parker test which is improved using the principal component idea. Numerical simulations and empirical analyses show that the improved Parker test with the fitted values of the samples proposed in this paper is superior.</span> </p> 展开更多
关键词 Multiple Linear Regression Model Parker Test fitted Values Heteroskedasticity Test
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Body-Fitted Momentum Source Method for Predicting Rotor Aerodynamics Characteristics in Hover
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作者 LI Peng KONG Xiaojun +1 位作者 YIN Hang ZHANG Guangjun 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2019年第4期641-651,共11页
To gain high efficiency for the simulation of the aerodynamic characteristics of the rotor in hover,body?fitted momentum source(BFMS)method is proposed.In this method,the actual blade geometry is represented by the si... To gain high efficiency for the simulation of the aerodynamic characteristics of the rotor in hover,body?fitted momentum source(BFMS)method is proposed.In this method,the actual blade geometry is represented by the single layer of volume grid surrounding the blade.Aiming at correctly simulating the aerodynamic characteristics of the discrete cells along the chordwise of blade airfoil section,a new distributed force model is proposed.For comparison,the RANS method with S?A turbulence model and the steady rotor momentum source(SRMS)method based on embedded grid systems are established,respectively.And the grid connecting methodology is improved to embed the blade into the background grids for the three methods.Then,simulations are performed for the hovering Caradonna?Tung rotor by these methods,and the calculated results are compared with the available experimental data.Moreover,the pressure distributions along the blade are compared with the conventional momentum source methods.It is demonstrated that the BFMS method can be employed as an effective approach to predict rotor aerodynamic characteristics with a low computational resource and reasonable accuracy. 展开更多
关键词 ROTOR momentum source body⁃fitted CFD embedded grid system
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ON CONSTRUCTION OF HIGH ORDER EXPONENTIALLY FITTED METHODS BASED ON PARAMETERIZED RATIONAL APPROXIMATIONS TO exp
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作者 杨逢建 张爱国 陈新明 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第9期1023-1030,共8页
By the discussion of the formula and properties of (4,4) parametric form rational approximation to function exp(q), the fourth order derivative one_step exponentially fitted method and the third order derivative hybri... By the discussion of the formula and properties of (4,4) parametric form rational approximation to function exp(q), the fourth order derivative one_step exponentially fitted method and the third order derivative hybrid one_step exponentially fitted method are presented, their order p satisfying 6≤p≤8. The necessary and sufficient conditions for the two methods to be A_ stable are given. Finally, for the fourth order derivative method, the error bound and the necessary and sufficient conditions for it to be median are discussed. 展开更多
关键词 exponentially fitted method order A_ stability
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HIGH ORDER ONE-STEP A-STABLE EXPONENTIALLY FITTED METHODS
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作者 YangFengiian ChenXinming LuoYiping 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1999年第3期359-365,共7页
In this paper,the necessary and sufficient conditions for generalone-step m ethods to be exponentially fitted atq0∈C aregiven.A classofm ultiderivative hybrid one-step m ethods of order at leasts+ 1 is constructed ... In this paper,the necessary and sufficient conditions for generalone-step m ethods to be exponentially fitted atq0∈C aregiven.A classofm ultiderivative hybrid one-step m ethods of order at leasts+ 1 is constructed w ith s+ 1 param eters,w here sis the order of derivative.The necessary and sufficient conditions for these m ethods to be A-stable and exponentially fitted is proved.Furtherm ore,a class ofA-stable 2 param eters hybrid one-step m ethods oforderatleast 8 are constructed,w hich use 4th order derivative.These m ethods are exponentially fitted atq0 if and only if its fitted function f(q) satisfies f(q0)= 0.Finally,an A-stable exponentially fitted m ethod oforder 8 is obtained. 展开更多
关键词 Multiderivative hybrid m ethod exponentially fitted m ethod A-stability.
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Influence of the Fitted Straight Line for Confidence Bands Algorithm in Q-Q Plots
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作者 Sonia Castillo-Gutiérrez María Dolores Estudillo-Martínez Emilio Damián Lozano-Aguilera 《Open Journal of Statistics》 2021年第6期925-930,共6页
Confidence bands in a Normal Q-Q Plot allow us to detect non-normality of a data set rigorously, and in such a way that the conclusion does not depend on the subjectivity of the observer of the graph. In the construct... Confidence bands in a Normal Q-Q Plot allow us to detect non-normality of a data set rigorously, and in such a way that the conclusion does not depend on the subjectivity of the observer of the graph. In the construction of the graph, it is usual to fit a straight line to the plotted points, which serves both to check the hypothesis of normality (linear configuration of the plotted points) and to produce estimates of the parameters of the distribution. We can opt for dif-ferent types of lines. In this paper, we study the influence of five types of fitted straight lines in a Normal Q-Q Plot used for construction the confidence bands based on the exact distribution of the order statistics. 展开更多
关键词 Normal Q-Q Plot Confidence Bands fitted Straight Line Goodness of Fit
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Real and Fitted Spherical Indentations 被引量:2
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作者 Gerd Kaupp 《Advances in Materials Physics and Chemistry》 2020年第10期207-229,共23页
Spherical indentations that rely on original date are analyzed with the physically correct mathematical formula and its integration that take into account the radius over depth changes upon penetration. Linear plots, ... Spherical indentations that rely on original date are analyzed with the physically correct mathematical formula and its integration that take into account the radius over depth changes upon penetration. Linear plots, phase-transition onsets, energies, and pressures are algebraically obtained for germanium, zinc-oxide and gallium-nitride. There are low pressure phase-transitions that correspond to, or are not resolved by hydrostatic anvil onset pressures. This enables the attribution of polymorph structures, by comparing with known structures from pulsed laser deposition or molecular beam epitaxy and twinning. The spherical indentation is the easiest way for the synthesis and further characterization of polymorphs, now available in pure form under diamond calotte and in contact with their corresponding less dense polymorph. The unprecedented results and new possibilities require loading curves from experimental data. These are now easily distinguished from data that are “fitted” to make them concur with widely used unphysical Johnson’s formula for spheres (“<span style="white-space:nowrap;"><em>P</em> = (4/3)<em>h</em><sup>3/2</sup><em>R</em><sup>1/2</sup><em>E</em><sup><span style="white-space:nowrap;">&#8727;</span></sup></span>”) not taking care of the <em>R/h</em> variation. Its challenge is indispensable, because its use involves “fitting equations” for making the data concur. These faked reports (no “experimental” data) provide dangerous false moduli and theories. The fitted spherical indentation reports with radii ranging from 4 to 250 μm are identified for PDMS, GaAs, Al, Si, SiC, MgO, and Steel. The detailed analysis reveals characteristic features. 展开更多
关键词 Spherical Indentations Correct Formula Phase-Transition Onset Pressure False Johnson Formula Detection of Data Fittings
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AN EXPONENTIALLY FITTED DIFFERENCE SCHEME FOR THE HYPERBOLIC-HYPERBOLIC SINGULARLY PERTURBED INITIAL-BOUNDARY VALUE PROBLEM
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作者 苏煜城 林平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第3期237-245,共9页
In this paper we discuss, an initial-boundary value problem of hyperbolic type with first derivative with respect to x. The asymptotic solution is constructed and its uniform validity is proved under weader compatibil... In this paper we discuss, an initial-boundary value problem of hyperbolic type with first derivative with respect to x. The asymptotic solution is constructed and its uniform validity is proved under weader compatibility conditions. Then we develop an exponentially fitted difference scheme and establish discrete energy inequality. Finally, we prove that the solution of difference problem uniformly converges to the solution of the original problem. 展开更多
关键词 hyperbolic equation singular perturbation exponential fitting difference scheme boundary value problem
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Fitted L1-ADI Scheme for Improving Convergence of Two-Dimensional Delay Fractional Equations
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作者 Xiaoqing Pan Xiaotong Huang +2 位作者 Dakang Cen Siu-Long Lei Seakweng Vong 《Communications on Applied Mathematics and Computation》 2025年第6期2173-2188,共16页
In this paper,the regularity and finite difference methods for the two-dimensional delay fractional equations are considered.The analytic solution is derived by eigenvalue expansions and Laplace transformation.However... In this paper,the regularity and finite difference methods for the two-dimensional delay fractional equations are considered.The analytic solution is derived by eigenvalue expansions and Laplace transformation.However,due to the derivative discontinuities resulting from the delay effect,the traditional L1-ADI scheme fails to achieve the optimal convergence order.To overcome this issue and improve the convergence order,a simple and cost-effective decomposition technique is introduced and a fitted L1-ADI scheme is proposed.The numerical tests are conducted to verify the theoretical result. 展开更多
关键词 Two-dimensional delay fractional equations Derivative discontinuity Cost-effective decomposition technique fitted L1-ADI scheme
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BOUSSINESQ MODELLING OF NEARSHORE WAVES UNDER BODY FITTED COORDINATE 被引量:2
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作者 FANG Ke-zhao ZOU Zhi-li +1 位作者 LIU Zhong-bo YIN Ji-wei 《Journal of Hydrodynamics》 SCIE EI CSCD 2012年第2期235-243,共9页
A set of nonlinear Boussinesq equations with fully nonlinearity property is solved numerically in generalized coordinates,to develop a Boussinesq-type wave model in dealing with irregular computation boundaries in com... A set of nonlinear Boussinesq equations with fully nonlinearity property is solved numerically in generalized coordinates,to develop a Boussinesq-type wave model in dealing with irregular computation boundaries in complex nearshore regions and to facilitate the grid refinements in simulations.The governing equations expressed in contravariant components of velocity vectors under curvilinear coordinates are derived and a high order finite difference scheme on a staggered grid is employed for the numerical implementation.The developed model is used to simulate nearshore wave propagations under curvilinear coordinates,the numerical results are compared against analytical or experimental data with a good agreement. 展开更多
关键词 Boussinesq equation WAVES body fitted coordinate
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EXPONENTIALLY FITTED LOCAL DISCONTINUOUS GALERKIN METHOD FOR CONVECTION-DIFFUSION PROBLEMS 被引量:2
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作者 Tao Yu Xingye Yue 《Journal of Computational Mathematics》 SCIE CSCD 2012年第3期298-310,共13页
In this paper, we study the local discontinuous Galerkin (LDG) method for one- dimensional singularly perturbed convection-diffusion problems by an exponentially fitted technique. We prove that the method is uniform... In this paper, we study the local discontinuous Galerkin (LDG) method for one- dimensional singularly perturbed convection-diffusion problems by an exponentially fitted technique. We prove that the method is uniformly first-order convergent in the energy norm with respect to the small diffusion parameter. 展开更多
关键词 Exponentially fitted Local discontinuous Galerkin method Convection-diffusionproblem.
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Fitness and resistance mechanism of Fusarium pseudograminearum mutants resistant to fludioxonil
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作者 TIAN Yingming CHEN Yawei +3 位作者 DUAN Xiaoxin ZHENG Wei XU Jianqiang HOU Ying 《农药学学报》 北大核心 2026年第2期277-291,244,共16页
Fusarium crown rot(FCR),predominantly caused by Fusarium pseudograminearum,has been listed as a Category Ⅱ disease in six provinces of China,posing a significant threat to wheat production.The phenylpyrrole fungicide... Fusarium crown rot(FCR),predominantly caused by Fusarium pseudograminearum,has been listed as a Category Ⅱ disease in six provinces of China,posing a significant threat to wheat production.The phenylpyrrole fungicide fludioxonil is a key agent for FCR control.Previous studies indicated that resistance to fludioxonil in F.pseudograminearum is primarily associated with altered expression levels of the FpOS1 gene,which encodes a hybrid histidine kinase.However,the roles of mutations in other FpOS genes and the molecular interactions between FpOS proteins and fludioxonil remain elusive.To address these gaps,we generated 16 fludioxonil-resistant mutants with heritable resistance traits by in vitro selection of four sensitive F.pseudograminearum isolates.These mutants exhibited high resistance levels,with resistance factors(RF)ranging from 633.73 to 8617.07.Compared to their parental isolates,the resistant mutants showed significantly reduced mycelial growth rate,sporulation capacity,and pathogenicity.They were also more sensitive to ionic,osmotic,and oxidative stresses and displayed compromised cell wall and membrane integrity.Fludioxonil demonstrated no cross-resistance with tebuconazole or pydiflumetofen;however,it exhibited weak positive crossresistance to pyraclostrobin and moderate positive cross-resistance to iprodione.Fludioxonil treatment significantly promoted glycerol synthesis and inhibited deoxynivalenol(DON)production in parental isolates,whereas these regulatory effects were markedly attenuated in the resistant mutants.Mutation analysis identified mutation sites in FpOS1,FpOS4,and FpOS5 genes,with a lower mutation frequency in FpOS1 and no mutations detected in FpOS2.Molecular docking indicated that amino acid substitutions in FpOS4 and FpOS5 significantly reduced the binding affinity of fludioxonil to these target proteins.In conclusion,F.pseudograminearum poses a moderate risk of resistance to fludioxonil.Point mutations in FpOS4 and FpOS5 genes emerge as key molecular drivers of resistance,likely by diminishing the binding affinity between the fungicide and its proteins.This study clarifies the molecular basis of fludioxonil resistance in F.pseudograminearum and provides a scientific rationale for the judicious use of this fungicide in managing FCR. 展开更多
关键词 Fusarium pseudograminearum fludioxonil resistant mutant survival fitness resistant mechanism
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The Analysis of Gauss Radial Basis Functions and Its Application in Locating Olivine on the Moon
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作者 SONG Shicang SONG Xiaoyuan SONG Shuhan 《应用数学》 北大核心 2026年第1期173-181,共9页
Gauss radial basis functions(GRBF)are frequently employed in data fitting and machine learning.Their linear independence property can theoretically guarantee the avoidance of data redundancy.In this paper,one of the m... Gauss radial basis functions(GRBF)are frequently employed in data fitting and machine learning.Their linear independence property can theoretically guarantee the avoidance of data redundancy.In this paper,one of the main contributions is proving this property using linear algebra instead of profound knowledge.This makes it easy to read and understand this fundamental fact.The proof of linear independence of a set of Gauss functions relies on the constructing method for one-dimensional space and on the deducing method for higher dimensions.Additionally,under the condition of preserving the same moments between the original function and interpolating function,both the interpolating existence and uniqueness are proven for GRBF in one-dimensional space.The final work demonstrates the application of the GRBF method to locate lunar olivine.By combining preprocessed data using GRBF with the removing envelope curve method,a program is created to find the position of lunar olivine based on spectrum data,and the numerical experiment shows that it is an effective scheme. 展开更多
关键词 Gauss function Radial basis function Machine learning Lunar olivine locating Data fitting
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A noise suppression method for interferometric fiber optic sensor based on ameliorated EFA and adaptive SVMD
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作者 PENG Meng-fan ZHOU Ci-ming +5 位作者 PAN Zhen JIANG Han LI Ao WANG Tian-yi LIU Han-jie FAN Dian 《中国光学(中英文)》 北大核心 2026年第2期395-406,共12页
Noise interference critically impairs the stability and data accuracy of sensing systems.However,current suppression strategies fail to concurrently mitigate intrinsic system noise and extrinsic environmental noise.Th... Noise interference critically impairs the stability and data accuracy of sensing systems.However,current suppression strategies fail to concurrently mitigate intrinsic system noise and extrinsic environmental noise.This study introduces a composite denoising approach to address this challenge.This method is based on the ameliorated ellipse fitting algorithm(AEFA)and adaptive successive variational mode decomposition(ASVMD).This algorithm employs AEFA to eliminate system noise tightly coupled with direct-current and alternating-current components in the interference signal,thereby obtaining a phase signal containing only environmental noise.The ASVMD technique adaptively extracts environmental noise components predominantly present in the phase signal.To achieve optimal decomposition results automatically,the permutation entropy criterion is employed to refine decomposition parameters.The correlation coefficient is utilized to differentiate effective components from noise components in the decomposition results.Experimental results indicate that the combined AEFA and ASVMD algorithm effectively suppresses both system and environmental noises.When applied to 50 Hz vibration signal processing,the proposed approach achieves a noise reduction of 17.81 dB and a phase resolution of 35.14μrad/√Hz.Given the excellent performance of the noise suppression,the proposed approach holds great application potential in high-performance interferometric sensing systems. 展开更多
关键词 interferometric fiber optic vibration sensor ellipse fitting algorithm successive variational mode decomposition noise suppression
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FINITE ELEMENT ANALYSIS OF A LOCAL EXPONENTIALLYFITTED SCHEME FOR TIME-DEPENDENTCONVECTION-DIFFUSION PROBLEMS
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作者 Yue, XY Jiang, LS Shih, TM 《Journal of Computational Mathematics》 SCIE EI CSCD 1999年第3期225-232,共8页
In [16], Stynes and O' Riordan(91) introduced a local exponentially fitted finite element (FE) scheme for a singularly perturbed two-point boundary value problem without turning-point. An E-uniform h(1/2)-order ac... In [16], Stynes and O' Riordan(91) introduced a local exponentially fitted finite element (FE) scheme for a singularly perturbed two-point boundary value problem without turning-point. An E-uniform h(1/2)-order accuracy was obtain for the epsilon-weighted energy norm. And this uniform order is known as an optimal one for global exponentially fitted FE schemes (see [6, 7, 12]). In present paper, this scheme is used to a parabolic singularly perturbed problem. After some subtle analysis, a uniformly in epsilon convergent order h\ln h\(1/2) + tau is achieved (h is the space step and tau is the time step), which sharpens the results in present literature. Furthermore, it implies that the accuracy order in [16] is actuallay h\ln h\(1/2) rather than h(1/2). 展开更多
关键词 singularly perturbed exponentially fitted uniformly in epsilon convergent Petrov-Galerkin finite element method
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On the Convergence of a Crank-Nicolson Fitted Finite Volume Method for Pricing European Options under Regime-Switching Kou’s Jump-Diffusion Models
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作者 Xiaoting Gan Junfeng Yin Rui Li 《Advances in Applied Mathematics and Mechanics》 SCIE 2023年第5期1290-1314,共25页
In this paper,we construct and analyze a Crank-Nicolson fitted finite volume scheme for pricing European options under regime-switching Kou’s jumpdiffusion model which is governed by a system of partial integro-diffe... In this paper,we construct and analyze a Crank-Nicolson fitted finite volume scheme for pricing European options under regime-switching Kou’s jumpdiffusion model which is governed by a system of partial integro-differential equations(PIDEs).We show that this scheme is consistent,stable and monotone as the mesh sizes in space and time approach zero,hence it ensures the convergence to the solution of continuous problem.Finally,numerical experiments are performed to demonstrate the efficiency,accuracy and robustness of the proposed method. 展开更多
关键词 European option pricing regime-switching Kou’s jump-diffusion model partial integro-differential equation fitted finite volume method Crank-Nicolson scheme
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Trends in physical fitness among children and adolescents in Europe:A systematic review and meta-analyses during and after the COVID-19 pandemic
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作者 Helena Ludwig-Walz Sarah Heinisch +5 位作者 Waldemar Siemens Claudia Niessner Tanja Eberhardt Indra Dannheim Regina Guthold Martin Bujard 《Journal of Sport and Health Science》 2026年第3期13-26,共14页
Background:Physical fitness is a key indicator of current and future health in children and adolescents.Evidence suggests that fitness levels have declined then stagnated in recent decades,but it remains unclear how t... Background:Physical fitness is a key indicator of current and future health in children and adolescents.Evidence suggests that fitness levels have declined then stagnated in recent decades,but it remains unclear how the coronavirus disease 2019(COVID-19)pandemic has impacted this trend.Methods:We conducted a systematic review and meta-analyses to assess pandemic-related changes in physical fitness among children and adolescents(0-19 years)in the World Health Organization European Region.Seven databases were searched up to February 28,2025 for studies reporting validated pre-and during/post-pandemic fitness measurements.Two reviewers independently performed screening,data extraction,risk-of-bias assessment(Risk Of Bias In Non-randomized Studies-of Exposure)(ROBINS-E),and certainty grading(Grading of Recommendations,Assessment,Development and Evaluation)(GRADE).Random-effects meta-analyses yielded standardized mean differences(SMDs)with 95%confidence intervals(95%CIs).Subgroup analyses examined sex,age,year,and national restriction severity(Oxford Stringency Index).Results:Thirty-two studies comprising 270,179 participants and 1,519,386 fitness measurements from 17 European countries were included.Cardiorespiratory fitness declined significantly during the pandemic,especially in 2021,with reductions in endurance(SMD=-0.43;95%CI:-0.61 to-0.25)and speed(SMD=-0.29;95%CI:-0.61 to 0.03).While speed returned to baseline by 2023,endurance remained below pre-pandemic levels(SMD=-0.10;95%CI:-0.12 to-0.08).Girls and adolescents were disproportionately affected.In contrast to cardiorespiratory fitness,muscular fitness remained largely unchanged.Stricter national regulations were associated with greater declines in cardiorespiratory fitness.Conclusion:COVID-19 pandemic restrictions were associated with a marked decline in cardiorespiratory fitness in European children and adolescents,with levels not recovered by 2023.These findings call for urgent,targeted public health interventions to improve physical fitness and prevent long-term health consequences. 展开更多
关键词 Cardiorespiratory fitness Muscular fitness ENDURANCE PANDEMIC Public health
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EXPONENTIAL FITTED METHODS FOR THE NUMEMCAL SOLUTION OF THE SCHRDINGER EQUATION
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作者 T.E. Simos(Laboratory of Applied Mathematics and Computers, Department of Sciences TechnicalUniversity of Crete, Greece) 《Journal of Computational Mathematics》 SCIE CSCD 1996年第2期120-134,共15页
A new sixth-order Runge-Kutta type method is developed for the numericalintegration of the radial Schrodinger equation and of the coupled differential equa-tions of the Schrodinger type. The formula developed contains... A new sixth-order Runge-Kutta type method is developed for the numericalintegration of the radial Schrodinger equation and of the coupled differential equa-tions of the Schrodinger type. The formula developed contains certain free pa-rameters which allows it to be fitted automatically to exponential functions. Wegive a comparative error analysis with other sixth order exponentially fitted meth-ods. The theoretical and numerical results indicate that the new method is moreaccurate than the other exponentially fitted methods. 展开更多
关键词 exp DINGER EQUATION EXPONENTIAL fitted METHODS FOR THE NUMEMCAL SOLUTION OF THE SCHR ACC
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APPLICATION OF BOUNDARY FITTED COORDINATE TECHNIQUE ON 2-D STEADY FLOW OF TAIL RACE RIVER
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作者 Yu Ping Electrical Design Institute of Guangdung,Guangzhou 510000,P.R.ChinaLiu Han-Li Civil Engineering Department,Dalian 116024,P.R.China 《Journal of Hydrodynamics》 SCIE EI CSCD 1992年第1期16-23,共8页
In this paper,a modified boundary fitted coordinate method is presented.The transformation equations are solved by finite analytic method.The control equations after trans- formation are solved by splitting operator m... In this paper,a modified boundary fitted coordinate method is presented.The transformation equations are solved by finite analytic method.The control equations after trans- formation are solved by splitting operator method.The results of calculation consist well with experiments. 展开更多
关键词 boundary fitted coordinate method splitting operator method tail race river
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