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- Ivan G. Graham

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
4,353
112
World Ranking
2074
National Ranking
145

- Mathematical analysis
- Algebra
- Partial differential equation

Ivan G. Graham mainly focuses on Mathematical analysis, Helmholtz equation, Numerical analysis, Boundary value problem and Bilinear form. In his study, which falls under the umbrella issue of Mathematical analysis, Upper and lower bounds is strongly linked to Eigenfunction. His Helmholtz equation study deals with Singularity intersecting with Algorithm, Nyström method, Spherical coordinate system and Three-dimensional space.

Ivan G. Graham interconnects Basis function and Partial differential equation in the investigation of issues within Numerical analysis. His Basis function study incorporates themes from Domain decomposition methods, Multigrid method, Mathematical optimization, Applied mathematics and Numerical linear algebra. The Integral equation study combines topics in areas such as Function space and Galerkin method.

- Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth (187 citations)
- Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering ∗ (159 citations)
- A new multiscale finite element method for high-contrast elliptic interface problems (147 citations)

Ivan G. Graham mainly investigates Mathematical analysis, Applied mathematics, Helmholtz equation, Domain decomposition methods and Integral equation. The various areas that he examines in his Mathematical analysis study include Galerkin method and Finite element method. His Applied mathematics study integrates concerns from other disciplines, such as Discretization, Solver, Mathematical optimization and Eigenvalues and eigenvectors.

In Helmholtz equation, Ivan G. Graham works on issues like Singularity, which are connected to Stationary point. His Domain decomposition methods research includes elements of Elliptic curve and Preconditioner. His Integral equation research is multidisciplinary, incorporating perspectives in Superconvergence, Piecewise, Collocation and Rate of convergence.

- Mathematical analysis (54.70%)
- Applied mathematics (29.91%)
- Helmholtz equation (23.08%)

- Mathematical analysis (54.70%)
- Applied mathematics (29.91%)
- Helmholtz equation (23.08%)

His primary scientific interests are in Mathematical analysis, Applied mathematics, Helmholtz equation, Domain decomposition methods and Preconditioner. His studies link Finite element method with Mathematical analysis. His Finite element method research is multidisciplinary, incorporating elements of Interpretation and Propagation of uncertainty.

His work carried out in the field of Applied mathematics brings together such families of science as Discretization and Eigenvalues and eigenvectors. His research integrates issues of Monotonic function, Curvature, Position, Variable and Domain in his study of Helmholtz equation. His work deals with themes such as Matrix, Multigrid method, Boundary value problem and Maxwell's equations, which intersect with Preconditioner.

- Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption (32 citations)
- Stability and finite element error analysis for the Helmholtz equation with variable coefficients (29 citations)
- The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances (25 citations)

- Mathematical analysis
- Algebra
- Partial differential equation

His scientific interests lie mostly in Mathematical analysis, Helmholtz equation, Domain decomposition methods, Applied mathematics and Preconditioner. The study incorporates disciplines such as Curvature and Finite element method in addition to Mathematical analysis. His studies deal with areas such as Partial differential equation, Numerical analysis and Variable as well as Finite element method.

His Helmholtz equation research is multidisciplinary, relying on both Monotonic function, Position and Domain. His Applied mathematics research includes themes of Circulant matrix and Generalized minimal residual method. Within one scientific family, Ivan G. Graham focuses on topics pertaining to Boundary value problem under Preconditioner, and may sometimes address concerns connected to Maxwell's equations, Order and Dimension.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth

M.A.J. Chaplain;M. Ganesh;I.G. Graham.

Journal of Mathematical Biology **(2001)**

275 Citations

Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth

M.A.J. Chaplain;M. Ganesh;I.G. Graham.

Journal of Mathematical Biology **(2001)**

275 Citations

Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering ∗

Simon N. Chandler-Wilde;Ivan G. Graham;Stephen Langdon;Euan A. Spence.

Acta Numerica **(2012)**

234 Citations

Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering ∗

Simon N. Chandler-Wilde;Ivan G. Graham;Stephen Langdon;Euan A. Spence.

Acta Numerica **(2012)**

234 Citations

A new multiscale finite element method for high-contrast elliptic interface problems

C.-C. Chu;C.-C. Chu;Ivan G. Graham;T.-Y. Hou.

Mathematics of Computation **(2010)**

208 Citations

A new multiscale finite element method for high-contrast elliptic interface problems

C.-C. Chu;C.-C. Chu;Ivan G. Graham;T.-Y. Hou.

Mathematics of Computation **(2010)**

208 Citations

Domain decomposition for multiscale PDEs

I. G. Graham;P. O. Lechner;R. Scheichl.

Numerische Mathematik **(2007)**

206 Citations

Domain decomposition for multiscale PDEs

I. G. Graham;P. O. Lechner;R. Scheichl.

Numerische Mathematik **(2007)**

206 Citations

Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications

I. G. Graham;F. Y. Kuo;D. Nuyens;R. Scheichl.

Journal of Computational Physics **(2011)**

192 Citations

Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications

I. G. Graham;F. Y. Kuo;D. Nuyens;R. Scheichl.

Journal of Computational Physics **(2011)**

192 Citations

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