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 Applicazioni ed esercizi di modellistica numerica per problemi differenziali. English
 Formaggia, L. (Luca)
 Milan ; New York : Springer, ©2012.
 Description
 Book — 1 online resource (x, 434 pages). Digital: text file; PDF.
 Summary

 Part I. Basic Material / Some fundamental tools / Fundamentals of finite elements and finite differences
 Part II. Stationary Problems / Galerkinfinite element method for elliptic problems / Advectiondiffusionreaction (ADR) problems
 Part III. Time Dependent Problems / Equations of parabolic type / Equations of hyperbolic type / NavierStokes equations for incompressible fluids.
 Heidelberg : Springer, 2014.
 Description
 Book — 1 online resource (viii, 429 pages) : illustrations (some color) Digital: text file; PDF.
 Summary

 Control and Nash Games with Mean Field Effect / Alain Bensoussan and Jens Frehse
 The Rain on Underground Porous Media / Christine Bernardi, Adel Blouza and Linda El Alaoui
 Finite Volume Multilevel Approximation of the Shallow Water Equations / Arthur Bousquet, Martine Marion and Roger Temam
 NonGaussian Test Models for Prediction and State Estimation with Model Errors / Michal Branicki, Nan Chen and Andrew J. Majda
 Asymptotic Analysis in a GasSolid Combustion Model with Pattern Formation / ClaudeMichel Brauner, Lina Hu and Luca Lorenzi
 Implicit Sampling, with Application to Data Assimilation / Alexandre J. Chorin, Matthias Morzfeld and Xuemin Tu
 Periodic Homogenization for Inner Boundary Conditions with Equivalued Surfaces: The Unfolding Approach / Doina Cioranescu, Alain Damlamian and Tatsien Li
 Global Null Controllability of the 1Dimensional Nonlinear Slow Diffusion Equation / JeanMichel Coron, Jesús Ildefonso Díaz, Abdelmalek Drici and Tommaso Mingazzini
 Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences / Jean Dolbeault, Maria J. Esteban, Michal Kowalczyk and Michael Loss
 On the Numerical Solution to a Nonlinear Wave Equation Associated with the First Painlevé Equation: An OperatorSplitting Approach / Roland Glowinski and Annalisa Quaini
 MsFEM à la CrouzeixRaviart for Highly Oscillatory Elliptic Problems / Claude Le Bris, Frédéric Legoll and Alexei Lozinski
 Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls / Tatsien Li and Bopeng Rao
 Mixing MonteCarlo and Partial Differential Equations for Pricing Options / Tobias Lipp, Grégoire Loeper and Olivier Pironneau
 h  P Finite Element Approximation for FullPotential Electronic Structure Calculations / Yvon Maday
 Increasing Powers in a Degenerate Parabolic Logistic Equation / José Francisco Rodrigues and Hugo Tavares
 Composite Waves for a Cell Population System Modeling Tumor Growth and Invasion / Min Tang, Nicolas Vauchelet, Ibrahim Cheddadi, Irene VignonClementel, Dirk Drasdo and Benoît Perthame.
 Control and Nash Games with Mean Field Effect
 The Rain on Underground Porous Media Part I: Analysis of a Richards Model
 Finite Volume Multilevel Approximation of the Shallow Water Equations
 Nongaussian Test Models for Prediction and State Estimation with Model Errors
 Asymptotic Analysis in a GasSolid Combustion Model with Pattern Formation
 Implicit Sampling, with Application to Data Assimilation
 Periodic Homogenization for Inner Boundary Conditions with Equivalued Surfaces: the Unfolding Approach
 Global Null Controllability of the 1Dimensional Nonlinear Slow Diffusion Equation
 Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences
 On the Numerical Solution to a Nonlinear Wave Equation Associated with the First Painlev?e Equation: an OperatorSplitting Approach
 MsFEM `a la CrouzeixRaviart for Highly Oscillatory Elliptic Problems
 Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls
 Mixing MonteCarlo and Partial Differential Equations for Pricing Options
 Increasing Powers in a Degenerate Parabolic Logistic Equation
 Composite Waves for a Cell Population System Modelling Tumor Growth and Invasion.
 Berlin : Springer, ©2008.
 Description
 Book — 1 online resource. Digital: text file; PDF.
 Summary

 Circumventing Curse of Dimensionality in the Solution of Highly Multidimensional Models Encountered in Quantum Mechanics Using Meshfree Finite Sums Decomposition
 A Pressure Correction Approach Coupled with the MLPG Method for the Solution of the NavierStokes Equations
 Large Scale, Multiresolution Flow Simulations Using Remeshed Particle Methods
 On the Stabilization of StressPoint Integration in the Element Free Galerkin Method
 The Partition of Unity Meshfree Method for Solving TransportReaction Equations on Complex Domains: Implementation and Applications in the Life Sciences
 Solving One Dimensional Scalar Conservation Laws by Particle Management
 Stability of Energy Transfer in the Weak Coupling Method
 Multiscale Approach for Quantum Systems
 A Meshless Technique Based on Integrated Radial Basis Function Networks for Elliptic Partial Differential Equations
 A HigherOrder Finite Volume Method Using Multiresolution Reproducing Kernels
 Interface Tracking in Meshfree Methods and its Applications
 A'posteriori Error Estimation Based on Higher Order Approximation in the Meshless Finite Difference Method
 Exact Bounds for Linear Outputs of the ConvectionDiffusionReaction Equation Using FluxFree Error Estimates
 Preparation of CAD and Molecular Surfaces for Meshfree Solvers
 3D Meshfree Magnetohydrodynamics
 A ParticlePartition of Unity Method Part VIII: Hierarchical Enrichment
 A Framework For Studying The RKEM Representation of Discrete Point Sets
 Coupling of the CFD and the Droplet Population Balance Equation with the Finite Pointset Method
 Hybrid Methods for FluidStructureInteraction Problems in Aeroelasticity.
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 Workshop "Recent Advances in PDEs: Analysis, Numerics and Control" (2017 : Sevilla, Spain)
 Cham, Switzerland : Springer, 2018.
 Description
 Book — 1 online resource (xiii, 249 pages) : illustrations (some color). Digital: text file; PDF.
 Summary

 1 F. Ammar Khodja and C. Dupaix, Essential spectrum and null controllability of some parabolic equations. 2 F. D. Araruna. F. O. Matias, M. L. Oliveira, and S. M. S. Souza, Wellposedness and asymptotic behavior for a nonlinear wave equation. 3 M. Benitez, A. Bermudez and P. Fontan, A secondorder linear Newmark method for Lagrangian NavierStokes equations. 4 D. Bresch, M. Colin, X. Lin, and P. Noble, Lubrication Theory and Viscous ShallowWater Equations. 5 E. Casas, The Influence of the Tikhonov Term in Optimal Control of Partial Differential Equations. 6 R. Codina, On the design of algebraic fractional step methods for viscoelastic incompressible ows. 7 V. HernandezSantamaria and L. de Teresa, Some remarks on the hierarchic control for coupled parabolic PDEs. 8 D. Nina Huaman, J. Limaco, and Miguel R. Nunez Chavez, Local null controllability of the Ndimensional LadyzhenskayaSmagorinsky with N1 scalar controls. 9 A. Munch, Numerical estimations of the cost of boundary controls for the equation yt  eyxx + Myx = 0 with respect to e. 10 F. J. Marin, J. MartinezFrutos, and F. Periago, Control of Random PDEs: an Overview. 11 A. Coronel, F. GuillenGonzalez, F. Marques, and M. RojasMedar, The Dubovitskii and Milyutin formalism applied to an optimal control problem in a solidification model. 12 U. Biccari, M. Warma, and E. Zuazua, Local regularity for fractional heat equations.
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 Cham, Switzerland : Springer, 2019.
 Description
 Book — 1 online resource (xii, 269 pages) : illustrations (some color).
 Summary

This volume presents current trends in analysis and partial differential equations from researchers in developing countries. The fruit of the project 'Analysis in Developing Countries', whose aim was to bring together researchers from around the world, the volume also includes some contributions from researchers from developed countries. Focusing on topics in analysis related to partial differential equations, this volume contains selected contributions from the activities of the project at Imperial College London, namely the conference on Analysis and Partial Differential Equations held in September 2016 and the subsequent Official Development Assistance Week held in November 2016. Topics represented include Fourier analysis, pseudodifferential operators, integral equations, as well as related topics from numerical analysis and bifurcation theory, and the countries represented range from Burkina Faso and Ghana to Armenia, Kyrgyzstan and Tajikistan, including contributions from Brazil, Colombia and Cuba, as well as India and China.
 Linares, Felipe, author.
 Second edition.  New York : Springer, [2014]
 Description
 Book — 1 online resource (xiv, 301 pages). Digital: text file; PDF.
 Summary

 1. The Fourier Transform
 2. Interpolation of Operators
 3. Sobolev Spaces and PseudoDifferential Operators
 4. The Linear Schrodinger Equation
 5. The NonLinear Schrodinger Equation
 6. Asymptotic Behavior for NLS Equation
 7. Kortewegde Vries Equation
 8. Asymptotic Behavior for kgKdV Equations
 9. Other Nonlinear Dispersive Models
 10. General Quasilinear Schrodinger Equation
 Proof of Theorem 2.8
 Proof of Lemma 4.2
 References
 Index.
 6.2.1 Case α ∈ (1 + 4/n, 1 + 4/(n − 2))6.2.2 Case α = 1 + 4/n; 6.3 Comments; 6.4 Exercises; Chapter 7 Kortewegde Vries Equation; 7.1 Linear Properties; 7.2 mKdV Equation; 7.3 Generalized KdV Equation; 7.4 KdV Equation; 7.5 Comments; 7.6 Exercises; Chapter 8 Asymptotic Behavior of Solutions for the kgKdV Equations; 8.1 Cases k = 1,2,3; 8.2 Case k=4; 8.3 Comments; 8.4 Exercises; Chapter 9 Other Nonlinear Dispersive Models; 9.1 DaveyStewartson Systems; 9.2 Ishimori Equation; 9.3 KP Equations; 9.4 BO Equation; 9.5 Zakharov System; 9.6 Higher Order KdV Equations; 9.7 Exercises
 Olver, Peter J., author.
 Cham : Springer, 2014.
 Description
 Book — 1 online resource (xxv, 635 pages) : illustrations. Digital: text file; PDF.
 Summary

 What are Partial Differential Equations?
 Linear and Nonlinear Waves
 Fourier Series
 Separation of Variables
 Finite Differences
 Generalized Functions and Green's Functions
 Complex Analysis and Conformal Mapping
 Fourier Transforms
 Linear and Nonlinear Evolution Equations
 A General Framework for Linear Partial Differential Equations
 Finite Elements and Weak Solutions
 Dynamics of Planar Media
 Partial Differential Equations in Space.
 Le Dret, H.
 Berlin ; New York : Springer, ©2013.
 Description
 Book — 1 online resource. Digital: text file; PDF.
 Summary

 Rappels d'analyse réelle et fonctionnelle
 Théorèmes de point fixe et applications
 Les opérateurs de superposition
 La méthode de Galerkin
 Principe du maximum, régularité elliptique et applications
 Calcul des variations et problèmes quasilinéaires
 Calcul des variations et points critiques
 Opérateurs monotones et inéquations variationnelles.
 Demengel, Françoise.
 London ; New York : Springer, ©2012.
 Description
 Book — 1 online resource (xviii, 465 pages) : illustrations. Digital: text file; PDF.
 Summary

 Notions from Topology and Functional Analysis
 Sobolev Spaces and Embedding Theorems
 Traces of Functions on Sobolev Spaces
 Fractional Sobolev Spaces
 Elliptic PDE: Variational Techniques
 Distributions with Measures as Derivatives
 Korn's Inequality in L p
 Erratum.
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 Bartels, Sören, author.
 Switzerland : Springer, 2016.
 Description
 Book — 1 online resource (xv, 535 pages) : illustrations. Digital: text file; PDF.
 Summary

 Preface
 Part I Finite differences and finite elements
 Elliptic partial differential equations
 Finite Element Method
 Part II Local resolution and iterative solution
 Local Resolution Techniques
 Iterative Solution Methods
 Part III Constrained and singularly perturbed problems
 Saddledpoint Problems
 Mixed and Nonstandard methods
 Applications
 Problems and Projects
 Implementation aspects
 Notations, inequalities, guidelines
 Index.
11. Frontiers in PDEconstrained optimization [2018]
 New York, NY : Springer, 2018.
 Description
 Book — 1 online resource. Digital: text file; PDF.
 Summary

 Part I: PDEConstrained Optimization  Tutorials. A Brief Introduction to PDE Constrained Optimization. Optimization of PDEs with Uncertain Inputs. Inexact TrustRegion Methods for PDEConstrained Optimization. Numerical Optimization Methods for the Optimal Control of Elliptic Inequalities. Introduction to PDEConstrained Optimization in the Oil and Gas Industry. An ExtremeScale PDEConstrained Optimization Problem. Part II: PDEConstrained Optimization  Applications. Energetically Optimal Flapping Wing Motions via AdjointBased Optimization and HighOrder Discretizations. Optimization of a Fractional Differential Equation. SensitivityBased Topology and Shape Optimization with Electric Motors. Distributed Parameter Estimation for the TimeDependent Radiative Transfer Equation. On the Use of Optimal Transport Distances for a PDEConstrained Optimization Problem in Seismic Imaging. Exploiting Sparsity in Solving PDEConstrained Inverse Problems: Application to Subsurface Flow Model Calibration.
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 Griffiths, D. F. (David Francis), author.
 Cham : Springer, 2015.
 Description
 Book — 1 online resource (xi, 368 pages) : illustrations (some color). Digital: text file; PDF.
 Summary

 Setting the scene
 Boundary and initial data
 The origin of PDEs
 Classification of PDEs
 Boundary value problems in R1
 Finite difference methods in R1
 Maximum principles and energy methods
 Separation of variables
 The method of characteristics
 Finite difference methods for elliptic PDEs
 Finite difference methods for parabolic PDEs
 Finite difference methods for hyperbolic PDEs
 Projects.
 11.1.2 An Implicit Method (BTCS)11.1.3 The θMethod; 11.2 Von Neumann Stability; 11.3 Advanced Topics and Extensions; 11.3.1 Neumann and Robin Boundary Conditions; 11.3.2 Multiple Space Dimensions; 11.3.3 The Method of Lines; 12 Finite Difference Methods for Hyperbolic PDEs; 12.1 Explicit Methods; 12.1.1 Order Conditions; 12.1.2 Stability Conditions; 12.1.3 FirstOrder Schemes; 12.1.4 SecondOrder Schemes; 12.1.5 A ThirdOrder Scheme; 12.1.6 Quasiimplicit Schemes; 12.2 The TwoWay Wave Equation; 12.3 Convergence Theory; 12.4 Advanced Topics and Extensions; 12.4.1 Dissipation and Dispersion
 Chaskalovic, J. (Joël), author.
 Cham : Springer, 2014.
 Description
 Book — 1 online resource (xiv, 358 pages) : illustrations. Digital: text file; PDF.
 Summary

 From the Contents: Introduction to functional analytical methods of partial differential equations
 The finite element method
 Variational Formulations of elliptic boundary problems
 Finite Elements and differential Introduction to functional analytical methods of partial differential equations
 The finite element method
 Variational Formulations of elliptic boundary problems.
 Heidelberg : Springer, [2014]
 Description
 Book — 1 online resource. Digital: text file; PDF.
 Summary

 MiniCourse: Fluid dynamic Limits of the Kinetic theory of gases : F. Golse. Short Papers: Stationary quasivariational inequalities with gradient constraint and nonhomogeneous boundary conditions: A. Azevedo, F. Miranda, and L. Santos. Shocks and antishocks in the ASEP conditioned on a low current: V. Belitsky and G.M. Schutz. Superdiffusion of energy in Hamiltonian systems perturbed by a conservative noise: C. Bernardin. Equilibrium fluctuations of additive functionals of zerorange models: C. Bernardin, P. Goncalves, and S. Sethuraman. A survey on Bogoliubov generating functionals for interacting particle systems in the continuum: D.L. Finkelshtein and M. Joao Oliveira. Interacting particle systems: hydrodynamic limit versus high density limit: T. Franco. Slowed exclusion process: hydrodynamics, fluctuations and phase transitions: T. Franco, P. Goncalves, and A. Neumann. Exclusion and Zerorange in the rarefaction fan: P. Goncalves. Microscopic derivation of an isothermal thermodynamic transformation: S. Olla. Unique continuation property for the Benjamin equation: M. Panthee. On the kinetic systems for simple reacting spheres: modeling and linearized equations: F. Carvalho, J. Polewczak, and A. Jacinta Soares. Hydrodynamic Limit for the Velocityflip Model: M. Simon. Large number asymptotics for twocomponent systems with selfconsistent coupling: V. Ricci. On a stochastic coupled system of reactiondiffusion of nonlocal type: E.A. CoaylaTeran, J. Ferreira, P.M.D. de Magalhaes, and H. B. de Oliveira.
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 Brézis, H. (Haim)
 New York ; London : Springer, ©2011.
 Description
 Book — 1 online resource (xiii, 599 pages). Digital: text file; PDF.
 Summary

 Preface.
 1. The HahnBanach Theorems. Introduction to the Theory of Conjugate Convex Functions.
 2. The Uniform Boundedness Principle and the Closed Graph Theorem. Unbounded Operators. Adjoint. Characterization of Surjective Operators.
 3. Weak Topologies. Reflexive Spaces. Separable Spaces. Uniform Convexity.
 4. L^p Spaces.
 5. Hilbert Spaces.
 6. Compact Operators. Spectral Decomposition of SelfAdjoint Compact Operators.
 7. The HilleYosida Theorem.
 8. Sobolev Spaces and the Variational Formulation of Boundary Value Problems in One Dimension.
 9. Sobolev Spaces and the Variational Formulation of Elliptic Boundary Value Problems in N Dimensions.
 10. Evolution Problems: The Heat Equation and the Wave Equation.
 11. Some Complements. Problems. Solutions of Some Exercises and Problems. Bibliography. Index.
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 Borthwick, David, author.
 Cham, Switzerland : Springer, 2016.
 Description
 Book — 1 online resource (xiv, 285 pages) : illustrations (some color). Digital: text file; PDF.
 Summary

 1. Introduction
 2. Preliminaries
 3. Conservation Equations and Characteristics
 4. The Wave Equation
 5. Separation of Variables
 6. The Heat Equation
 7. Function Spaces
 8. Fourier Series
 9. Maximum Principles
 10. Weak Solutions
 11. Variational Methods
 12. Distributions
 13. The Fourier Transform
 A. Appendix: Analysis Foundations
 References
 Notation Guide
 Index.
17. Dynamics of partial differential equations [2015]
 Wayne, C. Eugene, 1956 author.
 Cham : Springer, 2015.
 Description
 Book — 1 online resource (x, 79 pages) : illustrations (some color). Digital: text file; PDF.
 Summary

 Review 1. Dynamical systems and the twodimensional NavierStokes equations / C. Eugene Wayne
 Review 2. Localized states and dynamics in the nonlinear Schrödinger/GrossPitaevskii equation / Michael I. Weinstein.
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 Boston : Birkhäuser, ©2009.
 Description
 Book — 1 online resource (xiv, 301 pages) : illustrations. Digital: text file; PDF.
 Summary

 Tangent Halfspaces to Sets of Finite Perimeter in Carnot Groups. The Heat Kernel and Frequency Localized Functions on the Heisenberg Group. A Generalization of the RudinCarleson Theorem. Evolution Equations and Generalized Fourier Integral Operators. The Solvability and Subellipticity of Systems of Pseudodifferential Operators. Uniform Exponential Decay for Viscous Damped Systems*. The Hyperbolic Symmetrizer: Theory and Applications. Time Global Solutions to the Cauchy Problem for Multidimensional Kirchhoff Equations. The Order of Accuracy of Quadrature Formulae for Periodic Functions. A Note on the Oseen Kernels. Instability Behavior and Loss of Regularity. Decay Estimates for Variable Coefficient Wave Equations in Exterior Domains. On Gevrey WellPosedness of the Cauchy Problem for Some Noneffectively Hyperbolic Operators. Singularities of the Scattering Kernel Related to Trapping Rays. Analytic Hypoellipticity for a Sum of Squares of Vector Fields in Whose Poisson Stratification Consists of a Single Symplectic Stratum of Codimension Four. Multidimensional Soliton Integrodifferential Systems. Selected lectures in Microlocal Analysis.
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19. Complex fluids : modeling and algorithms [2016]
 Saramito, Pierre, author.
 Cham, Switzerland : Springer, [2016]
 Description
 Book — 1 online resource (xvi, 276 pages) : illustrations (some color). Digital: text file; PDF.
 Summary

 Preface. NavierStokes equation. QuasiNewtonian fluids. Viscoplastic fluids. Viscoelastic fluids. Elastoviscoplastic fluids. References. Index.
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 Ortner, Norbert, author.
 Cham : Springer, 2015.
 Description
 Book — 1 online resource Digital: text file; PDF.
 Summary

 Introduction. I. Distributions and Fundamental Solutions. II. General Principles for Fundamental Solutions. III. Parameter Integration. IV. Quasihyperbolic Systems. V. Fundamental Matrices of Homogeneous Systems. Appendix: Table of Operators/Systems with References to Fundamental Solutions/Matrices. References. Index.
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