Meetings/Workshops on Calculus, Differential Equations and Integration in the United States (USA)

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1
Semester Program Workshop: Fast Algorithms for Generating Static and Dynamically Changing Point Configurations
12 Mar 2018 - 16 Mar 2018 • ICERM/Brown University, Providence, United States
Abstract:
This workshop focuses on fast algorithms for the generation of high quality point configurations and meshes such as hierarchical schemes combined with energy or geometrical optimization techniques. Energy methods utilizing appropriate potentials for a prescribed density on a given manifold have been effective in generating point configurations with good covering and packing properties. These methods rely on efficient energy, gradient, and potential computations which can be achieved by hierarchical algorithms that model a system in a recursively compressed (low-rank or low-dimensional) form where information is transmitted nonlocally on a hierarchical tree structure. Different aspects of this technique can be found in the classical FFT, multigrid, and fast multipole method (FMM), as well as the recently developed fast direct solvers, multilevel models in statistics, and convolutional neural networks in deep learning.
Event listing ID:
966850
Related subject(s):
2
Stochastic Control, Computational Methods, and Applications
07 May 2018 - 11 May 2018 • IMA/University of Minnesota, Minneapolis, United States
Abstract:
In recent years, significant progress has been made in stochastic control and related fields. As work continues on forward-backward stochastic differential equations, new issues on time inconsistency raising in stochastic control have been found. Both the mathematical community and the control engineering community have shown interest in treating mean-field games and mean-field type controls. Computational aspects of stochastic and deterministic controls remain a challenging issue. The idea of the max-plus approach has been much exploited. New computational methods for solving the associated Hamilton-Jacobi-Bellman (HJB) partial differential equations (including solutions for deterministic controls) have also been investigated.
Event listing ID:
967373
3
Topical Workshop: Frame Theory and Exponential Bases
04 Jun 2018 - 08 Jun 2018 • ICERM, Brown University, Providence, United States
Abstract:
The problem of decomposing a function into a sum of simply structured functions is a classical area of research in Analysis. Exciting recent progress, e.g. the solution to the Kadison-Singer problem, results about exponential frames and Riesz bases in various settings, and results about orthogonal exponential bases for convex polytopes, has re-energized discussion in this area, opened new directions for study, and turned it into an even more active and fruitful area for research. The goal of this workshop is to discuss such new developments in this area. In particular, the workshop will focus on problems regarding exponential systems in weighted spaces and the Fuglede conjecture.
Event listing ID:
966913
Related subject(s):
4
CBMS-NSF Conference on Applications of Polynomial Systems
04 Jun 2018 - 08 Jun 2018 • Texas Christian University, Fort Worth, United States
Abstract:
The principal lecturer is David A. Cox, the William J. Walker Professor of Mathematics at Amherst College. Professor Cox will lecture on the study of polynomial systems via methods of algebraic geometry and commutative algebra, including 1) a history of results underpinning computational methods in algebraic geometry and commutative algebra; 2) modern computational approaches to solving polynomial systems and recent advances; and 3) a selection of current applications, with an eye toward helping participants solve their own applied problems. Specific lecture pair topics will include Elimination Theory, Polynomial Systems in the Real World, Geometric Modeling, Geometric Constraint Theory, and Chemical Reaction Networks. Supplementary conference activities will include a poster session, a software demonstration, a panel discussion, and a problem session designed to help new researchers enter the field through active participation.
Event listing ID:
979387
Related subject(s):
5
CBMS-NSF Conference on Harmonic Analysis: Smooth and Non-Smooth
04 Jun 2018 - 08 Jun 2018 • Iowa State University, Ames, United States
Abstract:
A series of ten lectures by Professor Palle Jorgensen from the University of Iowa, a leader in the fields of smooth and non-smooth harmonic analysis. The conference aims to demonstrate surprising connections between the two domains of geometry and Fourier spectra. In addition to the 10 lectures by Jorgensen, there will be other invited speakers. There is a recent and increasing interest in understanding the harmonic analysis of non-smooth geometries, typically fractal like. They are unlike the familiar smooth Euclidean geometry. In the non-smooth case, nearby points are not locally connected to each other. Real-world examples where these types of geometry appear include large computer networks, relationships in datasets, and fractal structures such as those found in crystalline substances, light scattering, and other natural phenomena where dynamical systems are present.
Event listing ID:
979342
Related subject(s):
6
Summer Graduate School: The ∂-Problem in the Twenty-First Century
11 Jun 2018 - 22 Jun 2018 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
This Summer Graduate School will introduce students to the modern theory of the inhomogeneous Cauchy-Riemann equation, the fundamental partial differential equation of Complex Analysis. This theory uses powerful tools of partial differential equations, differential geometry and functional analysis to obtain a refined understanding of holomorphic functions on complex manifolds. Besides students planning to work in complex analysis, this course will be valuable to those planning to study partial differential equations, complex differential and algebraic geometry, and operator theory. The exposition will be self-contained and the prerequisites will be kept at a minimum.
Event listing ID:
835379
7
ICERM Topical Workshop: Fractional PDEs: Theory, Algorithms and Applications
18 Jun 2018 - 22 Jun 2018 • Providence, RI, United States
Abstract:
Fractional partial differential equations (FPDEs) are emerging as a powerful tool for modeling challenging multiscale phenomena including overlapping microscopic and macroscopic scales. Compared to integer-order PDEs, the fractional order of the derivatives in FPDEs may be a function of space and time or even a distribution, opening up great opportunities for modeling and simulation of multi-physics phenomena, e.g. seamless transition from wave propagation to diffusion, or from local to non-local dynamics. In addition, data-driven fractional differential operators may be constructed to fit data from a particular experiment or specific phenomenon, including the effect of uncertainties. FPDEs lead to a paradigm shift, according to which data-driven fractional operators may be constructed to model a specific phenomenon instead of the current practice of tweaking free parameters that multiply pre-set integer-order differential operators. This workshop will cover all these areas, including (but not limited to) FPDE modeling, stochastic interpretation of FPDEs, efficient and accurate numerical solutions of FPDEs, mathematical analysis of FPDEs, and application of FPDE models.
Event listing ID:
943691
8
AIM Workshop: Nonlocal differential equations in collective behavior
18 Jun 2018 - 22 Jun 2018 • American Institute of Mathematics, San Jose, United States
Abstract:
This workshop, sponsored by AIM and the NSF, will be devoted to the qualitative behaviour of some nonlocal equations, mainly stemming from collective behavior models and kinetic theory.
Event listing ID:
966037
Related subject(s):
9
Fractional PDEs: Theory, Algorithms, and Applications
18 Jun 2018 - 22 Jun 2018 • ICERM, Brown University, Providence, United States
Abstract:
Fractional partial differential equations (FPDEs) are emerging as a powerful tool for modeling challenging multiscale phenomena including overlapping microscopic and macroscopic scales. Compared to integer-order PDEs, the fractional order of the derivatives in FPDEs may be a function of space and time or even a distribution, opening up great opportunities for modeling and simulation of multi-physics phenomena, e.g. seamless transition from wave propagation to diffusion, or from local to nonlocal dynamics. In addition, data-driven fractional differential operators may be constructed to fit data from a particular experiment or specific phenomenon, including the effect of uncertainties. FPDEs lead to a paradigm shift, according to which data-driven fractional operators may be constructed to model a specific phenomenon instead of the current practice of tweaking free parameters that multiply pre-set integer-order differential operators.
Event listing ID:
966978
10
XVII International Conference on Hyperbolic Problems Theory, Numerics, Applications
25 Jun 2018 - 29 Jun 2018 • Penn State University, University Park, United States
Abstract:
The objective of the conference is to bring together scientists with interests in the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models, etc.). The conference was first held 1986 in St. Etienne (France) and has been organized since then biennially at different locations.
Event listing ID:
966960
Event website:
11
AIM Workshop: Nonlinear PDEs in real and complex geometry
13 Aug 2018 - 17 Aug 2018 • American Institute of Mathematics, San Jose, United States
Abstract:
This workshop, sponsored by AIM and the NSF, will be devoted to the study of nonlinear PDEs in real and complex geometry.
Event listing ID:
966016
Related subject(s):
12
Holomorphic Differentials in Mathematics and Physics (HDMP)
12 Aug 2019 - 13 Dec 2019 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
Holomorphic differentials on Riemann surfaces have long held a distinguished place in low dimensional geometry, dynamics, and representation theory. Recently it has become apparent that they constitute a common feature of several other highly active areas of current research in mathematics and also at the interface with physics. (See website for more details.)
Event listing ID:
967628
Related subject(s):
13
Microlocal Analysis (MLA)
12 Aug 2019 - 13 Dec 2019 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
Microlocal analysis provides tools for the precise analysis of problems arising in areas such as partial differential equations or integral geometry by working in the phase space; i.e., the cotangent bundle, of the underlying manifold. It has origins in areas such as quantum mechanics and hyperbolic equations, in addition to the development of a general PDE theory, and has expanded tremendously over the last forty years to the analysis of singular spaces, integral geometry, nonlinear equations, scattering theory,... This program will bring together researchers from various parts of the field to facilitate the transfer of ideas, and will also provide a comprehensive introduction to the field for postdocs and graduate students.
Event listing ID:
967616
Related subject(s):
14
Introductory Workshop: Holomorphic Differentials in Mathematics and Physics
19 Aug 2019 - 23 Aug 2019 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
Holomorphic differentials on Riemann surfaces have long held a distinguished place in low dimensional geometry, dynamics and representation theory. Recently it has become apparent that they constitute a common feature of several other highly active areas of current research in mathematics and also at the interface with physics. In this introductory workshop, we will bring junior and senior researchers from this diverse range of subjects together in order to explore common themes and unexpected connections.
Event listing ID:
979287
Related subject(s):

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Last updated: 11 December 2017