What is the future of applied mathematics? Chris Budd.

Slides:

Advertisements

Similar presentations

Modeling of Complex Social Systems MATH 800 Fall 2011.

Advertisements

Princeton University Using the computer to select the right variables Rationale: Lake Carnegie, Princeton, NJ Straight Line Distance Actual transition.

Coupling Continuum Model and Smoothed Particle Hydrodynamics Methods for Reactive Transport Yilin Fang, Timothy D Scheibe and Alexandre M Tartakovsky Pacific.

FIN 685: Risk Management Topic 5: Simulation Larry Schrenk, Instructor.

ECIV 301 Programming & Graphics Numerical Methods for Engineers.

S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Engineering Electromagnetics Fall 2004 Shreekanth Mandayam ECE Department Rowan University.

Engineering Mechanics Group Faculty of Aerospace Engineering Minor Programme 2 Aerospace Analysis and Development.

The Islamic University of Gaza Faculty of Engineering Numerical Analysis ECIV 3306 Introduction.

MCE 561 Computational Methods in Solid Mechanics

1 Modeling and Simulating Networking Systems with Markov Processes Tools and Methods of Wide Applicability ? Jean-Yves Le Boudec

Copyright © 2006 The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1 Mathematical Modeling and Engineering Problem solving.

Numerical methods for PDEs PDEs are mathematical models for –Physical Phenomena Heat transfer Wave motion.

Math-254 Numerical Methods.

Analytical Vs Numerical Analysis in Solid Mechanics Dr. Arturo A. Fuentes Created by: Krishna Teja Gudapati.

Confessions of an applied mathematician Chris Budd.

Confessions of an industrial mathematican Chris Budd.

Math 3120 Differential Equations with Boundary Value Problems Chapter 4: Higher-Order Differential Equations Section 4-9: Solving Systems of Linear Differential.

MA354 Mathematical Modeling T H 2:45 pm– 4:00 pm Dr. Audi Byrne.

Derivatives In modern structural analysis we calculate response using fairly complex equations. We often need to solve many thousands of simultaneous equations.

Math 449 Dynamical systems in Biology and Medicine. D. Gurarie Overview.

Akram Bitar and Larry Manevitz Department of Computer Science

Finite Element Methods and Crack Growth Simulations Materials Simulations Physics 681, Spring 1999 David (Chuin-Shan) Chen Postdoc, Cornell Fracture Group.

MA354 An Introduction to Math Models (more or less corresponding to 1.0 in your book)

Differential equations. Many applications of mathematics involve two variables and a relation between them is required. This relation is often expressed.

Unresolved experimental dilemmas Dissipative particle dynamics Theoretical challenges (NATO ASI) Constitutive relations – applications to complex flows.

Differential Equations Linear Equations with Variable Coefficients.

MA354 Math Modeling Introduction. Outline A. Three Course Objectives 1. Model literacy: understanding a typical model description 2. Model Analysis 3.

Nelson Research, Inc – N. 88 th St. Seattle, WA USA aol.com 2D Convective and Diffusive Fluid Flow in Porous Reaction.

ASCI/Alliances Center for Astrophysical Thermonuclear Flashes An Interface Propagation Model for Reaction-Diffusion Advection Adam Oberman An Interface.

Solving Partial Differential Equation Numerically Pertemuan 13 Matakuliah: S0262-Analisis Numerik Tahun: 2010.

An Introduction to Computational Fluids Dynamics Prapared by: Chudasama Gulambhai H ( ) Azhar Damani ( ) Dave Aman ( )

Solving Ordinary Differential Equations

Computational Fluid Dynamics Lecture II Numerical Methods and Criteria for CFD Dr. Ugur GUVEN Professor of Aerospace Engineering.

Math 231: Differential Equations Set 2: Solving Variables Separable Type Differential Equations Notes abridged from the Power Point Notes of Dr. Richard.

CIVE1620- Engineering Mathematics 1.1 Lecturer: Dr D Borman Differentiation of a function From 1 st principles General techniques (trigonometric, logarithmic,

Beginning 1956  Associate of Science Degree included 27 credits of mathematics  Math 12 Plane Trigonometry  Math 13 Analytical Geometry  Math 91 Calculus.

Section 9.4 – Solving Differential Equations Symbolically Separation of Variables.

I- Computational Fluid Dynamics (CFD-I)

PRESENTED BY :SOUNDHAR A

Continuously Dislocated Elastic Bodies Subjected to Antiplane Shear

Differential Equations

Specialist Mathematics

Section 10.1 Separable Equations I

FE Exam Tutorial

Soft Computing Applied to Finite Element Tasks

Ch 1.4: Historical Remarks

Complex Frequency and Laplace Transform

Math-254 Numerical Methods.

FEA Introduction.

Materials Science & Engineering University of Michigan

Differential Equations Separation of Variables

John Drozd Colin Denniston

MATH 2140 Numerical Methods

ME/AE 339 Computational Fluid Dynamics K. M. Isaac Topic2_PDE

کاربرد موجک در تقریب توابع یک بعدی و حل معادلات دیفرانسیل معمولی

Analytical Tools in ME Course Objectives

Reaction time زمن الرجع.

Industrial Training Provider ,

Ch 1.4: Historical Remarks

Chapter 1:First order Partial Differential Equations

Investigators Tony Johnson, T. V. Hromadka II and Steve Horton

Partial Differential Equations

EE 534 Numerical Methods in Electromagnetics

Differential Equations

Department of Applied Mathematics University of Waterloo

Section 10.4 Linear Equations

Chemical Engineering FRESHMAN 2학년 SOPHOMORE JUNIOR SENIOR Spring Fall

Numerical Methods in Finance

Akram Bitar and Larry Manevitz Department of Computer Science

Presentation transcript:

What is the future of applied mathematics? Chris Budd

We live in interesting times with applied mathematics in a process of great transition! 20th century .. Great drivers of applied maths are physics, engineering and more recently biology Expertise in …. Fluids Solids Reaction-diffusion problems Dynamical systems

Deterministic Continuum problems, modelled by Differential Equations Solutions methods Simple analytical methods eg. Separation of variables Approximate/asymptotic approaches Phase plane analysis Numerical methods eg. finite element methods PDE techniques eg. Calculus of variations

What are the drivers of 21st century applied mathematics? Information/Bio-informatics/Genetics? Commerce/retail sector? Complexity? What new techniques do we need to consider? Discrete maths? Stochastic methods? Very large scale computations? Complex systems? Optimisation (discrete and continuous)?

Example: 2005 Study Group with Industry 10 industrial problems One on fluids/PDE One on dynamical systems All others discrete/optimisation 1995 Study Group with Industry 8 industrial problems .. All on continuum maths

Q. Do you agree with this assessment? Q. What is the best way to train the next generation of applied mathematicians? Q. What do YOU think is the future of applied mathematics