G. R. W. Quispel

What is he best known for?

The fields of study he is best known for:

• Mathematical analysis
• Quantum mechanics
• Algebra

G. R. W. Quispel mainly investigates Mathematical analysis, Mathematical physics, Partial differential equation, Differential equation and Pure mathematics. His Mathematical analysis study frequently draws connections to other fields, such as Hamiltonian. G. R. W. Quispel mostly deals with Integrable system in his studies of Mathematical physics.

The concepts of his Partial differential equation study are interwoven with issues in Korteweg–de Vries equation and Nonlinear system. His Differential equation research is multidisciplinary, incorporating perspectives in Lax pair and Applied mathematics. His biological study spans a wide range of topics, including Dynamical systems theory, Random dynamical system, Homogeneous space, Symmetry and Congruence lattice problem.

His most cited work include:

• Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models (430 citations)
• Integrable mappings and soliton equations II (360 citations)
• Geometric integration using discrete gradients (353 citations)

What are the main themes of his work throughout his whole career to date?

G. R. W. Quispel spends much of his time researching Mathematical analysis, Pure mathematics, Integrable system, Mathematical physics and Applied mathematics. His Mathematical analysis research includes elements of Vector field and Nonlinear system. As a part of the same scientific study, he usually deals with the Pure mathematics, concentrating on Dynamical systems theory and frequently concerns with Homogeneous space and Attractor.

His Integrable system research is multidisciplinary, incorporating elements of Korteweg–de Vries equation, Soliton, Partial difference equations and Lattice. G. R. W. Quispel has included themes like Nonlinear Schrödinger equation and sine-Gordon equation in his Mathematical physics study. G. R. W. Quispel usually deals with Differential equation and limits it to topics linked to Partial differential equation and Integral equation.

He most often published in these fields:

• Mathematical analysis (37.06%)
• Pure mathematics (27.65%)
• Integrable system (24.12%)

What were the highlights of his more recent work (between 2016-2021)?

• Pure mathematics (27.65%)
• Integrable system (24.12%)
• Quadratic equation (9.41%)

In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Pure mathematics, Integrable system, Quadratic equation, Applied mathematics and Discretization. The Pure mathematics study which covers Quartic function that intersects with Pencil and Affine transformation. G. R. W. Quispel works mostly in the field of Integrable system, limiting it down to topics relating to Ordinary differential equation and, in certain cases, Hamiltonian system, as a part of the same area of interest.

His work in Hamiltonian system covers topics such as Algebra which are related to areas like Differential equation. The study incorporates disciplines such as Structure, Mathematical analysis, Inverse problem, Reduction and Poisson manifold in addition to Quadratic equation. G. R. W. Quispel interconnects Vector field and Order in the investigation of issues within Discretization.

Between 2016 and 2021, his most popular works were:

• Discrete gradient methods for solving variational image regularisation models (11 citations)
• QRT maps and related Laurent systems (10 citations)
• Three classes of quadratic vector fields for which the Kahan discretisation is the root of a generalised Manin transformation (9 citations)

In his most recent research, the most cited papers focused on:

• Mathematical analysis
• Quantum mechanics
• Algebra

The scientist’s investigation covers issues in Pure mathematics, Mathematical optimization, Quadratic equation, Algorithm and Algebra. His studies deal with areas such as Iterated function, Factorization, Multiplicative function, Degree and Degenerate energy levels as well as Pure mathematics. His Mathematical optimization research integrates issues from Almost surely, Geometric integration, Lipschitz continuity and Dissipation.

G. R. W. Quispel combines subjects such as Affine transformation, Pencil, Discretization and Quartic function with his study of Quadratic equation. Many of his studies involve connections with topics such as Image and Algorithm. G. R. W. Quispel works in the field of Algebra, focusing on Symbolic computation in particular.