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Published byBlaze Shepherd Modified over 6 years ago
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What is the future of applied mathematics? Chris Budd
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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
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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
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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)?
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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
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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
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