Search by what the work actually is

Mathematics & Computational Foundations

Building a model of a real system, stating its assumptions, and testing where it stops describing the system.

Scale 10^-100 m to 10^100 m

Can state and use the definition of convergence for a numerical scheme, not just cite the order. · Linear algebra to the level of conditioning, decompositions and why an ill-conditioned problem is not a bug in the solver. · Real analysis: limits, continuity, and what makes a problem well-posed. · Has implemented a numerical method from a paper and verified its convergence order empirically. + 5 more

Mathematics & Computational Foundations

What this division proves and builds, who does it, and the rule that a method ships with its regime of validity.

Scale 10^-100 m to 10^100 m

Can state and use the definition of convergence for a numerical scheme, not just cite the order. · Linear algebra to the level of conditioning, decompositions and why an ill-conditioned problem is not a bug in the solver. · Real analysis: limits, continuity, and what makes a problem well-posed. · Has implemented a numerical method from a paper and verified its convergence order empirically. + 5 more

Mathematics & Computational Foundations

One mathematical result reconstructed in full, including the steps its source omitted.

Scale 10^-100 m to 10^100 m

Can state and use the definition of convergence for a numerical scheme, not just cite the order. · Linear algebra to the level of conditioning, decompositions and why an ill-conditioned problem is not a bug in the solver. · Real analysis: limits, continuity, and what makes a problem well-posed. · Has implemented a numerical method from a paper and verified its convergence order empirically. + 5 more

Mechanical, Robotics & Multi-Scale Systems

Designs that get made: manufacturable, tolerated, and analysed against a written specification.

Scale 10^-3 m to 10^3 m

Can draw a free-body diagram for a real assembly and derive its governing equations. · Solid mechanics: stress, strain, failure criteria, and which criterion applies to which material. · Has run a finite element analysis and carried out a mesh convergence study on it. · CAD to the level of producing a manufacturable part, not just a picture. + 4 more

Mechanical, Robotics & Multi-Scale Systems

One mechanical analysis carried out with a mesh convergence study and an analytic cross-check.

Scale 10^-3 m to 10^3 m

Can draw a free-body diagram for a real assembly and derive its governing equations. · Solid mechanics: stress, strain, failure criteria, and which criterion applies to which material. · Has run a finite element analysis and carried out a mesh convergence study on it. · CAD to the level of producing a manufacturable part, not just a picture. + 4 more

Mechanical, Robotics & Multi-Scale Systems

Carrying one material property from the scale it is measured at up to a system-level prediction.

Scale 10^-9 m to 10^0 m

Can draw a free-body diagram for a real assembly and derive its governing equations. · Solid mechanics: stress, strain, failure criteria, and which criterion applies to which material. · Has run a finite element analysis and carried out a mesh convergence study on it. · CAD to the level of producing a manufacturable part, not just a picture. + 4 more

Mathematics & Computational Foundations

Numerical methods implemented, verified against their theoretical order, and handed on as reference code.

Scale 10^-100 m to 10^100 m

Can state and use the definition of convergence for a numerical scheme, not just cite the order. · Linear algebra to the level of conditioning, decompositions and why an ill-conditioned problem is not a bug in the solver. · Real analysis: limits, continuity, and what makes a problem well-posed. · Has implemented a numerical method from a paper and verified its convergence order empirically. + 5 more

Mathematics & Computational Foundations

The optimisation methods the department depends on, and the characterisation of when each one fails.

Scale 10^-100 m to 10^100 m

Can state and use the definition of convergence for a numerical scheme, not just cite the order. · Linear algebra to the level of conditioning, decompositions and why an ill-conditioned problem is not a bug in the solver. · Real analysis: limits, continuity, and what makes a problem well-posed. · Has implemented a numerical method from a paper and verified its convergence order empirically. + 7 more

Computer Science, AI & Scientific Computing

Models that carry the physics as a constraint, and the honest account of when that helps and when it does not.

Scale 10^-100 m to 10^100 m

Fluent in Python, and able to write code somebody else can read, test and extend. · Data structures and algorithms to the level of choosing correctly and justifying the choice. · Comfortable on Linux, and with Git as a working tool rather than a save button. · Has written tests for numerical code and can explain what a tolerance in a test means. + 7 more

Mechanical, Robotics & Multi-Scale Systems

Where tolerance, thermal drift and metrology decide whether a mechanism works at all.

Scale 10^-6 m to 10^0 m

Can draw a free-body diagram for a real assembly and derive its governing equations. · Solid mechanics: stress, strain, failure criteria, and which criterion applies to which material. · Has run a finite element analysis and carried out a mesh convergence study on it. · CAD to the level of producing a manufacturable part, not just a picture. + 5 more

Computer Science, AI & Scientific Computing

How the department applies machine learning to science, and the evidence standard that applies to all of it.

Scale 10^-100 m to 10^100 m

Fluent in Python, and able to write code somebody else can read, test and extend. · Data structures and algorithms to the level of choosing correctly and justifying the choice. · Comfortable on Linux, and with Git as a working tool rather than a save button. · Has written tests for numerical code and can explain what a tolerance in a test means. + 6 more

Mathematics & Computational Foundations

The department's hardest mathematical questions and the standard every numerical claim is held to.

Scale 10^-100 m to 10^100 m

Can state and use the definition of convergence for a numerical scheme, not just cite the order. · Linear algebra to the level of conditioning, decompositions and why an ill-conditioned problem is not a bug in the solver. · Real analysis: limits, continuity, and what makes a problem well-posed. · Has implemented a numerical method from a paper and verified its convergence order empirically. + 5 more

Computer Science, AI & Scientific Computing

Machine learning on scientific data, with the evaluation designed before the model is chosen.

Scale 10^-100 m to 10^100 m

Fluent in Python, and able to write code somebody else can read, test and extend. · Data structures and algorithms to the level of choosing correctly and justifying the choice. · Comfortable on Linux, and with Git as a working tool rather than a save button. · Has written tests for numerical code and can explain what a tolerance in a test means. + 8 more

Computer Science, AI & Scientific Computing

Taking a working research script and turning it into a tested, documented package somebody else can install.

Scale 10^-100 m to 10^100 m

Fluent in Python, and able to write code somebody else can read, test and extend. · Data structures and algorithms to the level of choosing correctly and justifying the choice. · Comfortable on Linux, and with Git as a working tool rather than a save button. · Has written tests for numerical code and can explain what a tolerance in a test means. + 6 more

Mechanical, Robotics & Multi-Scale Systems

Robotic systems built and tested, including the failure behaviour rather than only the nominal one.

Scale 10^-3 m to 10^3 m

Can draw a free-body diagram for a real assembly and derive its governing equations. · Solid mechanics: stress, strain, failure criteria, and which criterion applies to which material. · Has run a finite element analysis and carried out a mesh convergence study on it. · CAD to the level of producing a manufacturable part, not just a picture. + 6 more

Mechanical, Robotics & Multi-Scale Systems

A robotic subsystem modelled and controlled in simulation, with the controller's limits characterised.

Scale 10^-3 m to 10^3 m

Can draw a free-body diagram for a real assembly and derive its governing equations. · Solid mechanics: stress, strain, failure criteria, and which criterion applies to which material. · Has run a finite element analysis and carried out a mesh convergence study on it. · CAD to the level of producing a manufacturable part, not just a picture. + 4 more

Computer Science, AI & Scientific Computing

One numerical method implemented, tested against an analytic case, and profiled.

Scale 10^-100 m to 10^100 m

Fluent in Python, and able to write code somebody else can read, test and extend. · Data structures and algorithms to the level of choosing correctly and justifying the choice. · Comfortable on Linux, and with Git as a working tool rather than a save button. · Has written tests for numerical code and can explain what a tolerance in a test means. + 6 more

Computer Science, AI & Scientific Computing

Research software built to survive handover: tested, documented, and maintained.

Scale 10^-100 m to 10^100 m

Fluent in Python, and able to write code somebody else can read, test and extend. · Data structures and algorithms to the level of choosing correctly and justifying the choice. · Comfortable on Linux, and with Git as a working tool rather than a save button. · Has written tests for numerical code and can explain what a tolerance in a test means. + 6 more

Mathematics & Computational Foundations

Several divisions' mathematical problems at once, and the rigour standard applied across them.

Scale 10^-100 m to 10^100 m

Can state and use the definition of convergence for a numerical scheme, not just cite the order. · Linear algebra to the level of conditioning, decompositions and why an ill-conditioned problem is not a bug in the solver. · Real analysis: limits, continuity, and what makes a problem well-posed. · Has implemented a numerical method from a paper and verified its convergence order empirically. + 5 more

Computer Science, AI & Scientific Computing

Several divisions' computational needs at once, and the engineering standard applied across them.

Scale 10^-100 m to 10^100 m

Fluent in Python, and able to write code somebody else can read, test and extend. · Data structures and algorithms to the level of choosing correctly and justifying the choice. · Comfortable on Linux, and with Git as a working tool rather than a save button. · Has written tests for numerical code and can explain what a tolerance in a test means. + 6 more

Computer Science, AI & Scientific Computing

Simulation platforms: solvers, verification, and the convergence evidence behind every run.

Scale 10^-100 m to 10^100 m

Fluent in Python, and able to write code somebody else can read, test and extend. · Data structures and algorithms to the level of choosing correctly and justifying the choice. · Comfortable on Linux, and with Git as a working tool rather than a save button. · Has written tests for numerical code and can explain what a tolerance in a test means. + 6 more

Materials & Advanced Matter

A scoped review of one advanced-material class, separating measured properties from computed ones.

Scale 10^-10 m to 10^0 m

Can relate a crystal structure to at least one measurable property and explain the mechanism. · Reads a phase diagram and can say what happens on cooling through a boundary. · Has analysed real characterisation data — diffraction, microscopy or mechanical testing — and stated its uncertainty. · Python for data analysis over a materials dataset. + 4 more

Materials & Advanced Matter

What this division searches for, who searches, and the rule that a prediction is labelled a prediction.

Scale 10^-10 m to 10^0 m

Can relate a crystal structure to at least one measurable property and explain the mechanism. · Reads a phase diagram and can say what happens on cooling through a boundary. · Has analysed real characterisation data — diffraction, microscopy or mechanical testing — and stated its uncertainty. · Python for data analysis over a materials dataset. + 4 more

Materials & Advanced Matter

The calculations: which level of theory, how convergence was tested, what the number is worth.

Scale 10^-10 m to 10^0 m

Can relate a crystal structure to at least one measurable property and explain the mechanism. · Reads a phase diagram and can say what happens on cooling through a boundary. · Has analysed real characterisation data — diffraction, microscopy or mechanical testing — and stated its uncertainty. · Python for data analysis over a materials dataset. + 4 more