Introduction: Contextualizing the Charter School Experience -- Part 1: Teachers -- Teaching in the City: A Personal Account of My Experiences at Charter Schools -- Charter Schools as Agents of Social Change: A Teacher’s Perspective -- An Introspective on Creative and Culturally Responsive Education -- Part 1: Reflection Questions -- Part 2: School Leaders -- Authentic Connections between Scho…
The Rosetta Stone of L-functions -- New Encounters in Combinatorial Number Theory: From the Kakeya Problem to Cryptography -- Perspectives and Challenges to Harmonic Analysis and Geometry in High Dimensions: Geometric Diffusions as a Tool for Harmonic Analysis and Structure Definition of Data -- Open Questions on the Mumford-Shah Functional -- Multi-scale Modeling -- Mass in Quantum Yang-Mills …
Portfolio Optimization -- One-Variable Optimization -- Optimal Portfolios with N Assets -- Unconstrained Optimization in N Variables -- The Steepest Descent Method -- The Newton Method -- Quasi-Newton Methods -- Conjugate Gradient Methods -- Optimal Portfolios with Restrictions -- Larger-Scale Portfolios -- Data-Fitting & The Gauss-Newton Method -- Equality Constrained Optimization -- Linear Eq…
Wave Maps and Ill-posedness of their Cauchy Problem -- On the Global Behavior of Classical Solutions to Coupled Systems of Semilinear Wave Equations -- Decay and Global Existence for Nonlinear Wave Equations with Localized Dissipations in General Exterior Domains -- Global Existence in the Cauchy Problem for Nonlinear Wave Equations with Variable Speed of Propagation -- On the Nonlinear Cauchy …
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…
Introduction: The Birth and Growth of a Community -- History or Heritage? An Important Distinction in Mathematics and for Mathematics Education -- Ptolemy’s Mathematical Models and their Meaning -- Mathematics, Instruments and Navigation, 1600–1800 -- Was Newton’s Calculus a Dead End? The Continental Influence of Maclaurin’s Treatise of Fluxions -- The Mathematics and Science of Leonhar…
to Fuzzy Arithmetic -- The Theory of Fuzzy Sets -- Elementary Fuzzy Arithmetic -- Standard Fuzzy Arithmetic -- Advanced Fuzzy Arithmetic — The Transformation Method -- Addition to Fuzzy Arithmetic -- Applications in the Engineering Sciences -- Mechanical Engineering -- Geotechnical Engineering -- Biomedical Engineering -- Control Engineering.Applied Fuzzy Arithmetic provides a well-structured…
Assessment of characteristic shear strength parameters of soil and its implication in geotechnical design -- Ambiguity of safety definition in geotechnical models -- The fuzziness and sensitivity of failure probabilities -- The mathematics of uncertainty: models, methods and interpretations -- Multi-parameter models: rules and computational methods for combining uncertainties -- Sensitivity ana…
From the contents: Algorithmic Challenges in Structural Molecular Biology and Proteomics -- Networked Robots: Ten Years of Experiments -- Algorithmic Foundation of the Clockwork Orange Robot Soccer Team -- Uniform Coverage of Simple Surfaces Embedded in R3 for Auto-Body Painting -- Stealth Tracking of an Unpredictable Target among Obstacles -- Multi-Step Motion Planning for Free-Climbing Robots…
Invited Talks -- Minisymposium: Domain Decomposition Methods for Wave Propagation in Unbounded Media -- Minisymposium: Parallel Finite Element Software -- Minisymposium: Collaborating Subdomains for Multi-Scale Multi-Physics Modelling -- Minisymposium: Recent Developments for Schwarz Methods -- Minisymposium: Trefftz-Methods -- Minisymposium: Domain Decomposition on Nonmatching Grids -- Minisym…