What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Statistics
His primary areas of study are Mathematical analysis, Numerical analysis, Runge–Kutta methods, Fractional calculus and Applied mathematics.
His biological study deals with issues like Nonlinear system, which deal with fields such as Riesz space.
His study looks at the relationship between Numerical analysis and fields such as Algorithm, as well as how they intersect with chemical problems.
His Runge–Kutta methods research incorporates themes from Numerical methods for ordinary differential equations, Stochastic differential equation and Explicit and implicit methods.
His Fractional calculus study combines topics from a wide range of disciplines, such as Space and Reaction–diffusion system.
His Applied mathematics research integrates issues from Stability, Mathematical optimization and Generalized minimal residual method.
His most cited work include:
- Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation (406 citations)
- Binomial leap methods for simulating stochastic chemical kinetics. (294 citations)
- Parallel and Sequential Methods for Ordinary Differential Equations (280 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Mathematical analysis, Applied mathematics, Numerical analysis, Runge–Kutta methods and Stochastic differential equation.
His Mathematical analysis study frequently draws connections to adjacent fields such as Stability.
His research investigates the connection between Applied mathematics and topics such as Mathematical optimization that intersect with issues in Stochastic simulation.
The Numerical analysis study combines topics in areas such as Algorithm and Variable.
Kevin Burrage combines subjects such as Numerical methods for ordinary differential equations and Initial value problem with his study of Runge–Kutta methods.
The Stochastic differential equation study which covers Stochastic partial differential equation that intersects with Numerical partial differential equations.
He most often published in these fields:
- Mathematical analysis (34.50%)
- Applied mathematics (23.20%)
- Numerical analysis (23.98%)
What were the highlights of his more recent work (between 2015-2021)?
- Applied mathematics (23.20%)
- Mathematical analysis (34.50%)
- Fractional calculus (15.98%)
In recent papers he was focusing on the following fields of study:
Kevin Burrage mostly deals with Applied mathematics, Mathematical analysis, Fractional calculus, Cardiac electrophysiology and Mathematical optimization.
Kevin Burrage interconnects Numerical analysis, Partial differential equation, Ordinary differential equation and Nonlinear system in the investigation of issues within Applied mathematics.
His Nonlinear system study incorporates themes from Boundary value problem and Domain.
Kevin Burrage interconnects Matrix and Toeplitz matrix in the investigation of issues within Mathematical analysis.
His work in Fractional calculus addresses subjects such as Space, which are connected to disciplines such as Coral reef and Sequence.
His work on Optimal control, Optimization problem and Global optimum as part of general Mathematical optimization study is frequently connected to Continuous optimization, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.
Between 2015 and 2021, his most popular works were:
- Variability in cardiac electrophysiology: Using experimentally−calibrated populations of models to move beyond the single virtual physiological human paradigm. (95 citations)
- In Vivo and In Silico Investigation Into Mechanisms of Frequency Dependence of Repolarization Alternans in Human Ventricular Cardiomyocytes. (51 citations)
- A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators (41 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Statistics
- Mathematical analysis
His main research concerns Mathematical analysis, Cardiac electrophysiology, Neuroscience, Electrophysiology and Ion channel.
In his papers, Kevin Burrage integrates diverse fields, such as Mathematical analysis and Quadrature.
His study explores the link between Cardiac electrophysiology and topics such as Experimental data that cross with problems in Identification, Complex system, Data set and Data mining.
His Electrophysiology study combines topics in areas such as Refractory period and Ventricular myocytes.
The various areas that Kevin Burrage examines in his Derivative study include Time stepping, Fractional operator, Fractional calculus and Convolution.
His study in Discretization is interdisciplinary in nature, drawing from both Space, Finite volume method for one-dimensional steady state diffusion, Numerical analysis and Finite difference method.
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