BOUND-CONSTRAINED MINIMIZATION PROBLEMS MARY ANN BRANCH , THOMAS F. COLEMAN AND YUYING LI Abstract. A subspace adaptation of the Coleman-Li trust region and interior method is proposed for solving large-scale bound-constrained minimization problems. This method can be implemented with either sparse Cholesky factorization or conjugate gradient computation. Under reasonable conditions the converg...

Melissa L. Coleman, M.D., Associate Professor, Department of Anesthesiology and Perioperative Medicine, Penn State College Hershey, Pennsylvania, George S. Bause, M.P.H., Wood Library-Museum Curator Emeritus.

We introduce the p-adic analogue of Arakelov intersection theory on arithmetic surfaces. The intersection pairing in an extension of the p-adic height pairing for divisors of degree 0 in the form described by Coleman and Gross. It also uses Coleman integration and is related to work of Colmez on p-adic Green functions. We introduce the p-adic version of a metrized line bundle and define the met...

We consider the generalization of quantum tunneling transitions in WKB approximation to time-independent functional Schr\"odinger and Wheeler-DeWitt equations. Following a Lorentzian approach, we compute transition rates among different scalar field vacua compare with those performed by Coleman collaborators using Euclidean approach. For gravity, develop general formalism for computing Wheeler'...

We construct Hida and Coleman theories for the degree 0 1 cohomology of automorphic line bundles on modular curve we define a p-adic duality pairing between in 1.

n 1980, the U.S. Education Department, working with the National Opinion Research Center, began a panel study of high school students known as the “High School and Beyond Study.” The first wave of the study collected achievement test scores for approximately 50,000 high school students who were in either their sophomore or their senior year of high school. The survey also compiled detailed char...