Part II: Tensor-Based Methods
2017
Part II of this book is concerned with low-rank tensor techniques, in particular for addressing problems of very high dimension without having to face the curse of dimensionality. Typical problems include differential and eigenvalue equations whose solutions are functions of a large number of variables or parameters. Such problems arise in many applications, e.g., quantum physics, computational chemistry, stochastic calculus, uncertainty quantification, and parametric partial differential equations (PDEs).