Efficient Numerical Methods for Non-local Operators, H^2-matrix compression, Algorithms and Analysis (Ems Tracts in Mathematics)

Efficient Numerical Methods for Non-loca

📁 Efficient Numerical Methods for Non-local Operators: $\mathcal{h}^2$-matrix Compression, Algorithms and Analysis

✍ Steffen Borm 📂 Library 📅 2010 🏛 European Mathematical Society 🌐 English

Hierarchical matrices present an efficient way of treating dense matrices that arise in the context of integral equations, elliptic partial differential equations, and control theory. While a dense $n\times n$ matrix in standard representation requires $n^2$ units of storage, a hierarchical matrix c

Efficient numerical methods for non-loca

📁 Efficient numerical methods for non-local operators

✍ Boerm S. 📂 Library 📅 2010 🏛 EMS 🌐 English

Hierarchical matrices present an efficient way of treating dense matrices that arise in the context of integral equations, elliptic partial differential equations, and control theory. While a dense $n\times n$ matrix in standard representation requires $n^2$ units of storage, a hierarchical matri

Local and Analytic Cyclic Homology (EMS

📁 Local and Analytic Cyclic Homology (EMS Tracts in Mathematics)

✍ Ralf Meyer 📂 Library 📅 2007 🏛 European Mathematical Society 🌐 English

Periodic cyclic homology is a homology theory for non-commutative algebras that plays a similar role in non-commutative geometry as de Rham cohomology for smooth manifolds. While it produces good results for algebras of smooth or polynomial functions, it fails for bigger algebras such as most Banach

Estimates for Differential Operators in

📁 Estimates for Differential Operators in Half-space (EMS Tracts in Mathematics)

✍ Igor W. Gel'man, Vladimir G. maz'ya 📂 Library 📅 2019 🏛 European Mathematical Society 🌐 English

Translated from the German by Darya Apushkinskaya. Originally published in 1981 by Akademie-Verlag as Abschätzungen für Differentialoperatoren im Halbraum. A publication of the European Mathematical Society Inequalities for differential operators play a fundamental role in the modern theory of parti

Matrix-Based Multigrid: Theory and Appli

📁 Matrix-Based Multigrid: Theory and Applications (Numerical Methods and Algorithms, 2)

✍ Yair Shapira 📂 Library 📅 2008 🏛 Springer 🌐 English

<p><span>This book introduces and analyzes the multigrid approach for the numerical solution of large sparse linear systems arising from the discretization of elliptic partial differential equations. Special attention is given to the powerful matrix-based-multigrid approach, which is particularly us

Structured Matrices in Numerical Linear

📁 Structured Matrices in Numerical Linear Algebra -- Analysis, Algorithms and Applications

✍ Bini, D.A., Di Benedetto, F., Tyrtyshnikov, E., Van Barel, M. (Eds.) 📂 Library 📅 2019 🏛 Springer International Publishing 🌐 English

This book gathers selected contributions presented at the INdAM Meeting Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications, held in Cortona, Italy on September 4-8, 2017. Highlights cutting-edge research on Structured Matrix Analysis, it covers theoretical issues,