Solving efficiently the wave equations involved in modeling acoustic, elastic or electromagnetic wave propagation remains a challenge both for research and industry. To attack the problems coming from the propagative character of the solution, the author constructs higher-order numerical methods to reduce the size of the meshes, and consequently the time and space stepping, dramatically improving storage and computing times. This book surveys higher-order finite difference methods and develops various mass-lumped finite (also called spectral) element methods for the transient wave equations, and presents the most efficient methods, respecting both accuracy and stability for each sort of problem. A central role is played by the notion of the dispersion relation for analyzing the methods. The last chapter is devoted to unbounded domains which are modeled using perfectly matched layer (PML) techniques. Numerical examples are given.

This is the story of Gary Cohen, a Jewish boy who was persecuted bitterly in school, and how he became a Christian. When his family was shocked at his conversion, Gary joined the army. He suffered through basic training, remained in the army reserves, and eventually became an officer and an army chaplain. After graduating from the USAF Air War College, he rose to the rank of colonel.

This is the story of a young man who gave away his clothes to needy missionaries and ended up with more suits than one can count. It is an account of a young man who rarely traveled outside of his home in Philadelphia and went to college only nine blocks from his house, to one who earned a commercial pilot's license and traveled to teach and preach the gospel from Seoul, Korea and Hong Kong to Australia, Israel, and Egypt, and a hundred more places. This is an inspiring story of how the Lord can lift up someone on the ground and then use him to lift others.

God used Hosea and Amos--one right after the other--to announce to the Northern Kingdom (Israel) that God's patience had at last ended and that the hour of decision had arrived. These prophets challenged Israel to repent now or face God's immediate judgment and endure pitiless conquest and plundering at the hands of the merciless Assyrians.
Both prophecies end with the assurance of God's abiding love for His people and His absolute pledge of their cleansing and restoration.
Two biblical scholars encourage students to understand and be challenged by these biblical events that so closely parallel those of our own times. Their simple, organized commentary will prove valuable to students at any level, individually or in a group.

This is the story of Gary Cohen, a Jewish boy who was persecuted bitterly in school, and how he became a Christian. When his family was shocked at his conversion, Gary joined the army. He suffered through basic training, remained in the army reserves, and eventually became an officer and an army chaplain. After graduating from the USAF Air War College, he rose to the rank of colonel.

This is the story of a young man who gave away his clothes to needy missionaries and ended up with more suits than one can count. It is an account of a young man who rarely traveled outside of his home in Philadelphia and went to college only nine blocks from his house, to one who earned a commercial pilot's license and traveled to teach and preach the gospel from Seoul, Korea and Hong Kong to Australia, Israel, and Egypt, and a hundred more places. This is an inspiring story of how the Lord can lift up someone on the ground and then use him to lift others.