Handbook of numerical analysis/ 10, Special volume: computational chemistry / guest ed.: C. Le Bris

Aiming to provide the reader with a general overview of the mathematical and numerical techniques used for the simulation of matter at the microscopic scale, this book lays the emphasis on the numerics, but modelling aspects are also addressed. The contributors come from different scientific communities: physics, theoretical chemistry, mathematical analysis, stochastic analysis, numerical analysis, and the text should be suitable for graduate students in mathematics, sciences and engineering and technology. v. 1. Finite difference methods (pt. 1). Solutions of equations in Rn (pt. 1) v. 2. Finite element methods (pt. 1) v. 3. Techniques of scientific computing (pt. 1). Numerical methods for solids (pt. 1). Solution of equations in Rn (pt. 2) v. 4. Finite element methods (pt. 2). Numerical methods for solids (pt. 2) v. 6. Numerical methods for solids (pt. 3). Numerical methods for fluids (pt. 1) v. 7. Solution of equations in Rn (pt. 3). Techniques of scientific computing (pt. 3) v. 8. Solution of equations in Rn (pt. 4). Techniques of scientific computing (pt. 4). Numerical methods for fluids (pt. 2) v. 9. Numerical methods for fluids (pt. 3) v. 10. Special volume computational chemistry / guest editor, C. Le Bris v. 11. Special volume foundations of computational mathematics / guest editor, F. Cucker Mathematical Finance is a prolific scientific domain in which there exists a particular characteristic of developing both advanced theories and practical techniques simultaneously. This book addresses the three aspects in the field: mathematical models, computational methods, and applications. Suitable for graduate students in mathematics, sciences and engineering and technology, this volume covers advanced computational methods used in the mathematical analysis of chemical events and reactions. It covers both the numerics and modelling aspects. Quantum chemistry aims at understanding the properties of matter through the modelling of its behaviour at a subatomic scale, where matter is described as an assembly of nuclei and electrons.