Our work on biomimetics focuses on elucidating mechanisms exploited by bats and weakly electric fish for imaging. Seminar on mathematical topics and career possibilities for senior math majors and actuarial science majors. Finite Element Methods (Multiscale-, High-Order, WaveletFEM,...). What are some good topics for an undergraduate Math seminar? Numerical methods, of the finite volume, finite difference, spectral and discontinuous Galerkin finite element type are developed in the group. Technische Hochschule Zürich. , Welcome from the Chair - Jean-François Lafont, Spotlight: Undergraduate Research Mentoring, Alumnus/Advisory Board Spotlight: Bill Henson, The Association for Women in Mathematics Student Chapter, The Mathematical Contest in Modeling: 2019 Edition, Alumnus/Advisor Board Spotlight: Martin Molloy, Jean-François Lafont appointed Chair of the Department of Mathematics, Nearly 40 years of Actuarial Science at Ohio State, The Erdős Institute: Academic Entrepreneurship, The Integrated Major in Mathematics and English, Best and Calder named co-directors of Mathematical Biosciences Institute, David Goss Technology and Academic Innovation Stimulus Fund, Faculty Success Spotlight: Adriana Dawes and Veronica Ciocanel, New Faculty Member Spotlight: Jennifer Park, Saving Students One Million Dollars a Year, Math 4.0: Growing Student Success and Retention Rates, SAMMS: Removing Barriers to Graduate School, Research: Math Key Player in NSF-funded Multidisciplinary Collaboration, Future Students: Consider a Career in Math, Current OSU Students - Change to Math Major, School of Environment and Natural Resources, College of Food, Agriculture and Environmental Sciences, School of Health and Rehabilitation Sciences, Taking Math Classes at Another Institution, Awaiting Final Transcripts and Enrolling in Further Coursework, Career, Internship, and Job Opportunities, Master of Actuarial and Quantitative Risk Management (MAQRM), Society for Industrial and Applied Mathematics (SIAM), Geometry, Combinatorics, and Integrable Systems Seminar, Quantum Algebra and Quantum Topology Seminar, Topology, Geometry, and Data Analysis Seminar, Ohio State Course Catalog and Master Schedule. high-order, dimension adaptive integration and interpolation algorithms (in particular adaptive Smolyak, Quasi-Monte Carlo, adaptive stochastic Galerkin Methods, reduced basis approximations, tensor structured linear algebra approaches). Internet-of-Things (IoT) is one of the subjects which is rapidly gaining attention among engineering students. Another focus area is on computational uncertainty quantification i.e efficient calculation of uncertainties in the solutions of PDEs that are driven by stochastic initial/boundary conditions, parameters and chaotic dynamics. Research topics include medical imaging, phase retrieval (with application in coherent diffraction imaging and audio processing) and the vulnerability of deep neural networks. 1 Introduction Pricing and Modeling of Bonds and Interest Rate Derivatives TABLE OF CONTENTS Epigraph iii Civil, Environmental and Geomatic Engineering, Humanities, Social and Political Sciences, Information Technology and Electrical Engineering, Higher order QMC integration with scrambling for elliptic PDEs with random coeffcients (PDF, 1.3 MB), ReLU DNN expression of sparse gpc expansion in uncertainty quantification (PDF, 1 MB), Parallel Tensor-Formatted Numerics for the Chemical Master Equation (PDF, 2 MB), A Boundary Element Method for Eddy Currents (PDF, 2.6 MB), Examination of Measure Valued Solutions for the Magnetohydrodynamic Equations (PDF, 2.6 MB), Computation of Measure Valued Solutions of the Incompressible Euler Equations (PDF, 3.3 MB), Finite Difference Approach for the Measure Valued Vanishing Dispersion Limit of Burgers’ Equation (PDF, 1.9 MB), A Posteriori Error Estimation of hp-DG Finite Element Methods for Highly Indefinite Helmholtz Problems (PDF, 4.4 MB), Isotropic Random Fields on the Sphere - Stochastic Heat Equation and Regularity of Random Elliptic PDEs (PDF, 1.4 MB), MLMC-FD method for 2D statistical solutions of the Navier-Stokes equations (PDF, 1.4 MB), Numerical Simulations of the Weak Approximation Error for Parabolic Stochastic Partial Differential Equations (PDF, 706 KB), Calderon Preconditioning for Higher Order Boundary Element Method (PDF, 1.9 MB), Sliding Interfaces for Eddy Current Simulations (PDF, 7.1 MB), Local Multi-trace Boundary Element Formulation for Diffusion Problems (PDF, 2.9 MB), Adaptive Galerkin Methods for Infinite Dimensional Parabolic Equations (PDF, 580 KB), The Criticality Spectral Problem in Neutron Transport (PDF, 1.4 MB), Numerical Pricing of American Options for gerneral Bivariate Lévy Models (PDF, 3.8 MB), Second Kind Single Trace Boundary Element Methods (PDF, 5.4 MB), Multi-Level Monte Carlo Methods for Stochastic Parabolic and 2nd Order Hyperbolic PDEs (PDF, 3.7 MB), hp Finite Element Method pricing algorithms for lookback options in Lévy Markets (PDF, 1.3 MB), Electricity Spot Price Modelling and Derivatives Pricing (PDF, 5.3 MB), Multi-Level Monte Carlo Finite Element Method for Elliptic Partial Differential Equations with Stochastic Data (PDF, 720 KB), Efficient Convolution Based Impedance Boundary Conditions (PDF, 731 KB), Resolution of Skin Layer in EM Simulation (PDF, 865 KB), A Scalable Eddy-Current Solver for ANSYS (PDF, 1.3 MB), Numerical Study of Small-Jump Regularization on Exotic Contracts in Lévy Markets (PDF, 1.4 MB), Boundary element discretisation of asymptotic layer models (PDF, 879 KB), Plane wave discontinuous Galerkin methods (PDF, 1.6 MB), Pricing Convertible Bonds using Finite Elements (PDF, 400 KB), Computation of electrostatic forces by the virtual work method (PDF, 1.4 MB), Cone Strategies for Formal Deformations of Non-Collapsible Simplicial Complexes (PDF, 412 KB), Asymptotische Methode zur Berechnung elektrostatischer Kräfte (PDF, 489 KB), Quadtree techniques for the construction of structured auxiliary meshes (PDF, 429 KB), Auxiliary Space Method for Edge Elements (PDF, 706 KB), Régularité des solutions des problèmes d'élasticité et d'écoulement de Stokes dans un polygone (PDF, 2.3 MB), Numerical Solution of a Coefficient Identification Problem for the Poisson Equation (PDF, 3.9 MB), A Posteriori Error Estimates for hp-FEM: Comparison and Implementation (PDF, 545 KB), Rayleigh Quotient Multigrid (PDF, 4.2 MB), Duality based error estimation for electrostatic force computation (PDF, 13.6 MB), Numerical Validation of Emergent Behavior in Flocks (PDF, 4.5 MB), Convergence of Binomial Tree Methods for European/American Path-Dependent Options (PDF, 5.8 MB), Non-equidistant approximate DFT based on Z-Splines (PDF, 382 KB), Generalized Tensor Models for Recurrent Neural Networks (PDF, 1.2 MB), MPI-Based Tensor Network Library (PDF, 528 KB), Nonlinear n-term approximation for the solution of the dirichlet problem (PDF, 288 KB), Parallelization of a radiative transfer solver (PDF, 444 KB), Dual Mesh Calderon Preconditioning for the Single Layer Boundary Integral Operator (PDF, 5 MB), Implementation of impedance boundary conditions in HADAPT (PDF, 1.3 MB), Spurious Solutions for transient Maxwell equations in 2D (PDF, 1.1 MB), Variance-optimal hedging error in geometric Lévy models (PDF, 530 KB), Discontinuous Galerkin discretization of magnetic convection (PDF, 2.5 MB), Fast solvers for Eulerian convection schemes, (PDF, 328 KB), Hash Based Data Structures for Tetrahedral Meshes (PDF, 152 KB), Angle conditions for face and edge elements (PDF, 427 KB), Transient Simulation of Eddy Currents in Ferromagnets (PDF, 3.7 MB), Eidgenössische

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