Nonlinear Inverse Problems: Theoretical Aspects and Some Industrial Applications -- Numerical Methods for the Simulation of Incompressible Viscous Flow: An Introduction -- Computational Techniques for the Verification and Control of Hybrid Systems -- Data Assimilation Methods for an Oceanographic Problem -- Ant Colonies: a Nature inspired Paradigm for the Mathematical Modelling of Self-Organizi…
Why probability and statistics? -- Outcomes, events, and probability -- Conditional probability and independence -- Discrete random variables -- Continuous random variables -- Simulation -- Expectation and variance -- Computations with random variables -- Joint distributions and independence -- Covariance and correlation -- More computations with more random variables -- The Poisson process -- …
Constraint Retraction for Dynamic Constraint Satisfaction Problems over Disjoint Real Intervals -- Computational Methods for Large Distributed Parameter Estimation Problems in 3D -- Robust Parameter Estimation for Identifying Satellite Injection Orbits -- On the Numerical Simulation of the Free Fall Problem -- Searching the Web: a Semantics-Based Approach -- Adaptive Computation with Perfectly …
An Energetic Variational Formulation with Phase Field Methods for Interfacial Dynamics of Complex Fluids: Advantages and Challenges -- Non-Equilibrium Statistical Mechanics of Nematic Liquids -- Anisotropy and Heterogeneity of Nematic Polymer Nano-Composite Film Properties -- Non-Newtonian Constitutive Equations Using the Orientational Order Parameter -- Surface Order Forces in Nematic Liquid C…
Basic Material -- Approximation of Integrals -- Boundary Layer Behaviour -- Two-Point Boundary Value Problems -- Nonlinear Boundary Value Problems -- Elliptic Boundary Value Problems -- Boundary Layers in Time -- Evolution Equations with Boundary Layers -- The Continuation Method -- Averaging and Timescales -- Advanced Averaging -- Averaging for Evolution Equations -- Wave Equations on Unbounde…
Advances for New Model and Solution Approaches -- A Scatter Search Tutorial for Graph-Based Permutation Problems -- A Multistart Scatter Search Heuristic for Smooth NLP and MINLP Problems -- Scatter Search Methods for the Covering Tour Problem -- Solution of the SONET Ring Assignment Problem with Capacity Constraints -- Advances for Solving Classical Problems -- A Very Fast Tabu Search Algorith…
A Particle Strategy for Solving the Fokker-Planck Equation Modelling the Fiber Orientation Distribution in Steady Recirculating Flows Involving Short Fiber Suspensions -- Extended Meshfree Method for Elastic and Inelastic Media -- Meshfree Petrov-Galerkin Methods for the Incompressible Navier-Stokes Equations -- The ?-shape Based Natural Element Method in Solid and Fluid Mechanics -- A Particle…
The Dilute Bose Gas in 3D -- The Dilute Bose Gas in 2D -- Generalized Poincaré Inequalities -- Bose-Einstein Condensation and Superfluidity for Homogeneous Gases -- Gross-Pitaevskii Equation for Trapped Bosons -- Bose-Einstein Condensation and Superfluidity for Dilute Trapped Gases -- One-Dimensional Behavior of Dilute Bose Gases in Traps -- Two-Dimensional Behavior in Disc-Shaped Traps -- The…
Mathematics, Art and Architecture -- Mathematics, Art and Architecture -- From Tiling the Plane to Paving Town Square -- Mathematics in Contemporary Arts — Finite and Infinity -- De Insana Geometria -- Ovals in Borromini’s Geometry -- Fractals: A Resonance between Art and Nature -- Mathland — From Topology to Virtual Architecture -- Visual Mathematics and Computer Graphics -- Introduction…
General introduction -- Continuous-time dynamical systems -- Discrete-time dynamical systems -- Game theory and evolution -- Markov chains and diffusions -- Random arborescent models -- Statistics.Proposing a wide range of mathematical models that are currently used in life sciences may be regarded as a challenge, and that is precisely the challenge that this book takes up. Of course this panor…