Winner of the Atmospheric Science Librarians International Choice Award as the best book of 2013, Mathematics and Climate emphasizes conceptual models that capture critical components of Earth's climate system and answers how and why certain phenomena happen. These models (energy balance?models and temperature distributions, ocean circulation ......
This monograph develops a unified, application-driven framework for kernel methods grounded in reproducing kernel Hilbert spaces and optimal transport. The primary goal is to tackle industrial cases from computational physics and mathematical finance and discuss applications across various areas, such as statistics, or artificial intelligence ......
Functions that are not differentiable in the classical sense have become a central tool in modern mathematical models for imaging, inverse problems, machine learning, and optimal control of differential equations. These models are increasingly formulated in infinite-dimensional function spaces to be independent of problem size and discretization ......
This monograph develops a unified, application-driven framework for kernel methods grounded in reproducing kernel Hilbert spaces and optimal transport. The primary goal is to tackle industrial cases from computational physics and mathematical finance and discuss applications across various areas, such as statistics, or artificial intelligence ......
Functions that are not differentiable in the classical sense have become a central tool in modern mathematical models for imaging, inverse problems, machine learning, and optimal control of differential equations. These models are increasingly formulated in infinite-dimensional function spaces to be independent of problem size and discretization ......
Engineering systems in the new economy are increasingly shaped by sharing - shared logistics, joint investments, virtual power plants, and more - a shift that calls for models that capture decentralized decision-making, resource pooling, and cooperative infrastructure. Across production, transportation, logistics, and energy, a central challenge ......
Solving linear systems of equations is ubiquitous in scientific computing, therefore, the numerical algorithms for solving them are paramount. Direct and Iterative Linear System Solvers describes the state of the art of direct and iterative methods for solving nonsingular linear systems of equations. The author considers several variants of ......
Perturbation methods are old and powerful. Solutions are provided as formulas rather than numbers or pictures, so the skill of the person (or machine!) reading the formula is essential. This unique book presents several classical methods to solve perturbation problems using backward error analysis. This lessens the likelihood of blunders because ......
Linear algebra and ordinary differential equations (ODEs) are foundational postcalculus mathematics. The goal of this text is to help students master both subject areas in a one-semester course. The linear algebra necessary for applications is developed first and continually referenced when solving ODEs. The discussion of ODEs focuses on solving ......