Nowadays, with the rapid economic and technological development, people＇s material and spiritual requirements has got great satisfaction. In the course of historical development, ancestors of human beings created inc...Nowadays, with the rapid economic and technological development, people＇s material and spiritual requirements has got great satisfaction. In the course of historical development, ancestors of human beings created incomparable cultural heritage relics and spiritual civilization with their diligent hands and the great wisdom left us countless cultural heritage relics, many of them have become the famous wonder of the world. These civilizations and cultural heritage are located in Asia, Europe and America, Africa, for example, the Egyptian Pyramids, Acropolis in Athens. Mayan Civilization in Mexico, Mogao Grottoes of Dun Huang of China, Qin Terra-Cotta Warriors and Horses Figurines, Angkor Wat-Cambodia, Venice-ltaly, the Buddhas of Bamiyan in Afghanistan. The essay will mainly choose the 4 most famous representative cultural heritages worldwide to discuss their artistic characteristics, current situation and damage level and effective protective measures.展开更多
In this paper, we investigate numerical methods for high order differential equations. We propose new spectral and spectral element methods for high order problems with mixed inhomogeneous boundary conditions, and pro...In this paper, we investigate numerical methods for high order differential equations. We propose new spectral and spectral element methods for high order problems with mixed inhomogeneous boundary conditions, and prove their spectral accuracy by using the recent results on the Jacobi quasi-orthogonal approximation. Numerical results demonstrate the high accuracy of suggested algorithm, which also works well even for oscillating solutions.展开更多
文摘Nowadays, with the rapid economic and technological development, people＇s material and spiritual requirements has got great satisfaction. In the course of historical development, ancestors of human beings created incomparable cultural heritage relics and spiritual civilization with their diligent hands and the great wisdom left us countless cultural heritage relics, many of them have become the famous wonder of the world. These civilizations and cultural heritage are located in Asia, Europe and America, Africa, for example, the Egyptian Pyramids, Acropolis in Athens. Mayan Civilization in Mexico, Mogao Grottoes of Dun Huang of China, Qin Terra-Cotta Warriors and Horses Figurines, Angkor Wat-Cambodia, Venice-ltaly, the Buddhas of Bamiyan in Afghanistan. The essay will mainly choose the 4 most famous representative cultural heritages worldwide to discuss their artistic characteristics, current situation and damage level and effective protective measures.
文摘In this paper, we investigate numerical methods for high order differential equations. We propose new spectral and spectral element methods for high order problems with mixed inhomogeneous boundary conditions, and prove their spectral accuracy by using the recent results on the Jacobi quasi-orthogonal approximation. Numerical results demonstrate the high accuracy of suggested algorithm, which also works well even for oscillating solutions.
