Some Novel Aspects of the Cauchy Problem -- Analytic and Algebraic Ideas: How to Profit from Their Complementarity -- On Certain First-Order Partial Differential Equations in C n -- Hermite Operator on the Heisenberg Group -- A Div-Curl Lemma in BMO on a Domain -- Subharmonic Functions on Discrete Structures -- Nearly Hyperbolic Varieties and Phragmén-Lindelöf Conditions -- Sampling and Loca…
Introductory Chapter -- Laplace Operators on Riemannian Manifolds -- Lagrangian Formalism on Riemannian Manifolds -- Harmonic Maps from a Lagrangian Viewpoint -- Conservation Theorems -- Hamiltonian Formalism -- Hamilton-Jacobi Theory -- Minimal Hypersurfaces -- Radially Symmetric Spaces -- Fundamental Solutions for Heat Operators with Potentials -- Fundamental Solutions for Elliptic Operators …
Summary -- Background -- Fundamental Theorem -- Trudinger-Moser Inequality -- The Green’s Function -- Equilibrium States -- Blowup Analysis for Stationary Solutions -- Multiple Existence -- Dynamical Equivalence -- Formation of Collapses -- Finiteness of Blowup Points -- Concentration Lemma -- Weak Solution -- Hyperparabolicity -- Quantized Blowup Mechanism -- Theory of Dual Variation.This bo…
Diffusione -- Equazione di Laplace -- Equazioni del primo ordine -- Onde -- Analisi funzionale -- Formulazioni variazionali.La presente raccolta di problemi ed esercizi nasce dall'esperienza maturata durante il corso di Equazioni a Derivate Parziali (EDP), tenuto nell'ambito delle lauree di primo e secondo livello presso il Politecnico di Milano. Il volume è diviso in due parti; nei primi quat…
Prologue and Preliminaries -- Introduction, Overview, and Examples -- Mathematical Preliminaries -- Asymptotic Properties -- Asymptotic Expansions -- Occupation Measures -- Exponential Bounds -- Interim Summary and Extensions -- Applications -- Stability of Dynamic Systems -- Filtering -- Markov Decision Processes -- LQ Controls -- Mean-Variance Controls -- Production Planning -- Stochastic App…
A large international conference on High Performance Computing and its - plications was held in Shanghai, China, August 8–10, 2004. It served as a forum to present current work by researchers and software developers from around the world as well as to highlight activities in the high performance computing area. It aimed to bring together research scientists, application - oneers,andsoftwarede…
Surveys -- Linear Semi-infinite Optimization: Recent Advances -- Some Theoretical Aspects of Newton’s Method for Constrained Best Interpolation -- Optimization Methods in Direct and Inverse Scattering -- On Complexity of Stochastic Programming Problems -- Nonlinear Optimization in Modeling Environments -- Supervised Data Classification via Max-min Separability -- A Review of Applications of t…
Elements of Convex Analysis and Separation -- to Image Space Analysis -- Alternative and Separation -- Optimality Conditions. Preliminary Results.Over the last twenty years, Professor Franco Giannessi, a highly respected researcher, has been working on an approach to optimization theory based on image space analysis. His theory has been elaborated by many other researchers in a wealth of papers…
Problem Definition and Survey -- A Survey on Location Problems with Applications in Telecommunications -- QCL-C: Relaxations and Special Cases -- Polyhedral Analysis -- Uncapacitated Problems -- Problems with Linear Capacity Constraints -- Problems with Quadratic Capacity Constraints -- Summary of Results of Part II -- Solving QCL-C with Branch and Cut -- QCL-C: Formulations and Projection Ineq…
Convergence -- Finite Differences -- Eigenvalues -- The Finite-Difference Time-Domain Method -- The Finite Element Method -- The Method of Moments -- Summary and Overview.Computational Electromagnetics is a young and growing discipline, expanding as a result of the steadily increasing demand for software for the design and analysis of electrical devices. This book introduces three of the most p…