Aims and Scope: Numerical Mathematics:Theory, Methods and Applications (NM-TMA) publishes high-quality original research papers on the construction,analysis and application of numerical methods for solving scientific ...Aims and Scope: Numerical Mathematics:Theory, Methods and Applications (NM-TMA) publishes high-quality original research papers on the construction,analysis and application of numerical methods for solving scientific problems.Important research and expository papers devoted to the numerical solution of mathematical problems arising in all areas of science and technology are expected.The journal originates from the journal Numerical Mathematics:A Journal of Chinese Universities (English Edition).展开更多
This focused issue is dedicated to two conferences on numerical algebra,matrix theory,and their applications.These two conferences are"The Ninth China-Russia Conference on Numerical Algebra with Applications"...This focused issue is dedicated to two conferences on numerical algebra,matrix theory,and their applications.These two conferences are"The Ninth China-Russia Conference on Numerical Algebra with Applications"(CRCNAA 2023)held at Nantong University Nantong,Jiangsu,China,during July 8-13,2023,and"The Fourteenth International Conference on Matrix Theory and Applications"(MTA 2023)held at Ocean University of China,Qingdao,Shandong,China,during July 2126,2023.CRCNAA 2023 was organized jointly by Zhong-Zhi Bai(Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing),Yang Cao(Nantong University,Nantong),and Galina V.Muratova(Southern Federal University,Russia),with Zhong-Zhi Bai and Galina V.Muratova being the co-chairs,and Yang Cao being the principle local organizer.展开更多
We present a class of the second order optimal splines difference schemes derived from ex- ponential cubic splines for self-adjoint singularly perturbed 2-point boundary value problem. We prove an optimal error estima...We present a class of the second order optimal splines difference schemes derived from ex- ponential cubic splines for self-adjoint singularly perturbed 2-point boundary value problem. We prove an optimal error estimate and give illustrative numerical example.展开更多
The numerical control technology application major in secondary vocational schools trains the technical workers of numerical control processing. Physics plays an irreplaceable role in promoting the study of numerical ...The numerical control technology application major in secondary vocational schools trains the technical workers of numerical control processing. Physics plays an irreplaceable role in promoting the study of numerical control major and provides a foundation for the knowledge of mechanical processing. Under the situation of popular numerical control specialty, physics teaching in secondary vocational schools is declining. The teachers analyzed the current situation of physics teaching of numerical control technology application major in secondary vocational schools, and proposed countermeasures to adapt to social changes and improve the effectiveness of physics teaching.展开更多
The paper mainly focuses on describing the modification made to a new depth-averaged two-equation turbulent closure model based on the revised κ-ω model recently. In the case of side discharged jets with tempera- t...The paper mainly focuses on describing the modification made to a new depth-averaged two-equation turbulent closure model based on the revised κ-ω model recently. In the case of side discharged jets with tempera- ture difference and transverse current, the new model has been investigated numerically in detail. As a practical example of application to use the new model, the side discharge of the cooling water from three outlets into a natu- ral river on one bank has been simulated, and the geomorphic variation under water has been treated suitably. Two depth-averaged models, and have been used, the later was the unique one up to the present. Emphasis is placed on the comparative research with different models under the same computational conditions. It has been verified that if the discharged flow rates are relatively small, when the pollutant plume in the near and transitional zons is predicted, the agreement with experimental and field data simulated by the model is better than by the model or other methods commonly used in engineering.展开更多
The nonlinear singular perturbation problem is solved numerically on nonequidistant meshes which are dense in the boundary layers. The method presented is based on the numerical solution of integral equations [1]. The...The nonlinear singular perturbation problem is solved numerically on nonequidistant meshes which are dense in the boundary layers. The method presented is based on the numerical solution of integral equations [1]. The fourth order uniform accuracy of the scheme is proved. A numerical experiment demonstrates the effectiveness of the method.展开更多
In this paper,we define a new idea of trapezoidal neutrosophic cubic hesitant fuzzy number based on migraine diseases.We define and the migraine diseases on trapezoidal neutrosophic cubic hesitant fuzzy number and ope...In this paper,we define a new idea of trapezoidal neutrosophic cubic hesitant fuzzy number based on migraine diseases.We define and the migraine diseases on trapezoidal neutrosophic cubic hesitant fuzzy number and operational laws of trapezoidal neutrosophic cubic hesitant fuzzy number and hamming distance of TrNCHFNs.The new concept of trapezoidal neutrosophic cubic hesitant fuzzy TOPSIS method is introduced.Furthermore,we extend MCDM method based on the trapezoidal neutrosophic cubic hesitant fuzzy TOPSIS method.Finally,an illustrative example is given to verify and demonstrate the practicality and effectiveness of the proposed method.展开更多
In this paper,we define the new idea of triangular cubic hesitant fuzzy number(TCHFN).We discuss some basic operational laws of triangular cubic hesitant fuzzy number and hamming distance of TCHFNs.We introduce the ne...In this paper,we define the new idea of triangular cubic hesitant fuzzy number(TCHFN).We discuss some basic operational laws of triangular cubic hesitant fuzzy number and hamming distance of TCHFNs.We introduce the new concept of triangular cubic hesitant TOPSIS method.Furthermore,we extend the classical cubic hesitant the technique for order of preference by similarity to ideal solution(TOPSIS)method to solve the Multi-Criteria decision-making(MCDM)method based on triangular cubic hesitant TOPSIS method.The new ranking method for TCHFNs is used to rank the alternatives.Finally,an illustrative example is given to verify and demonstrate the practicality and effectiveness of the proposed method.展开更多
文摘Aims and Scope: Numerical Mathematics:Theory, Methods and Applications (NM-TMA) publishes high-quality original research papers on the construction,analysis and application of numerical methods for solving scientific problems.Important research and expository papers devoted to the numerical solution of mathematical problems arising in all areas of science and technology are expected.The journal originates from the journal Numerical Mathematics:A Journal of Chinese Universities (English Edition).
文摘This focused issue is dedicated to two conferences on numerical algebra,matrix theory,and their applications.These two conferences are"The Ninth China-Russia Conference on Numerical Algebra with Applications"(CRCNAA 2023)held at Nantong University Nantong,Jiangsu,China,during July 8-13,2023,and"The Fourteenth International Conference on Matrix Theory and Applications"(MTA 2023)held at Ocean University of China,Qingdao,Shandong,China,during July 2126,2023.CRCNAA 2023 was organized jointly by Zhong-Zhi Bai(Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing),Yang Cao(Nantong University,Nantong),and Galina V.Muratova(Southern Federal University,Russia),with Zhong-Zhi Bai and Galina V.Muratova being the co-chairs,and Yang Cao being the principle local organizer.
文摘We present a class of the second order optimal splines difference schemes derived from ex- ponential cubic splines for self-adjoint singularly perturbed 2-point boundary value problem. We prove an optimal error estimate and give illustrative numerical example.
文摘The numerical control technology application major in secondary vocational schools trains the technical workers of numerical control processing. Physics plays an irreplaceable role in promoting the study of numerical control major and provides a foundation for the knowledge of mechanical processing. Under the situation of popular numerical control specialty, physics teaching in secondary vocational schools is declining. The teachers analyzed the current situation of physics teaching of numerical control technology application major in secondary vocational schools, and proposed countermeasures to adapt to social changes and improve the effectiveness of physics teaching.
文摘The paper mainly focuses on describing the modification made to a new depth-averaged two-equation turbulent closure model based on the revised κ-ω model recently. In the case of side discharged jets with tempera- ture difference and transverse current, the new model has been investigated numerically in detail. As a practical example of application to use the new model, the side discharge of the cooling water from three outlets into a natu- ral river on one bank has been simulated, and the geomorphic variation under water has been treated suitably. Two depth-averaged models, and have been used, the later was the unique one up to the present. Emphasis is placed on the comparative research with different models under the same computational conditions. It has been verified that if the discharged flow rates are relatively small, when the pollutant plume in the near and transitional zons is predicted, the agreement with experimental and field data simulated by the model is better than by the model or other methods commonly used in engineering.
文摘The nonlinear singular perturbation problem is solved numerically on nonequidistant meshes which are dense in the boundary layers. The method presented is based on the numerical solution of integral equations [1]. The fourth order uniform accuracy of the scheme is proved. A numerical experiment demonstrates the effectiveness of the method.
基金The second and third authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups program under Grant Nos.R.G.P1/76/40 and R.G.P2/52/40.
文摘In this paper,we define a new idea of trapezoidal neutrosophic cubic hesitant fuzzy number based on migraine diseases.We define and the migraine diseases on trapezoidal neutrosophic cubic hesitant fuzzy number and operational laws of trapezoidal neutrosophic cubic hesitant fuzzy number and hamming distance of TrNCHFNs.The new concept of trapezoidal neutrosophic cubic hesitant fuzzy TOPSIS method is introduced.Furthermore,we extend MCDM method based on the trapezoidal neutrosophic cubic hesitant fuzzy TOPSIS method.Finally,an illustrative example is given to verify and demonstrate the practicality and effectiveness of the proposed method.
基金The second and third authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups program under Grant No.R.G.P2/52/40.
文摘In this paper,we define the new idea of triangular cubic hesitant fuzzy number(TCHFN).We discuss some basic operational laws of triangular cubic hesitant fuzzy number and hamming distance of TCHFNs.We introduce the new concept of triangular cubic hesitant TOPSIS method.Furthermore,we extend the classical cubic hesitant the technique for order of preference by similarity to ideal solution(TOPSIS)method to solve the Multi-Criteria decision-making(MCDM)method based on triangular cubic hesitant TOPSIS method.The new ranking method for TCHFNs is used to rank the alternatives.Finally,an illustrative example is given to verify and demonstrate the practicality and effectiveness of the proposed method.
