Research graph
References from Local stability of FDTD and DGTD schemes for Maxwell’s equations using LTI systems theory. Local targets link to admitted publications; unresolved targets remain external evidence.
Unresolved reference
2015 · External reference
Parallel and explicit finite-element time-domain method for Maxwell’s equations
10.1109/tap.2011.2143682 · 2011 · External reference
Unresolved reference
2007 · External reference
Discontinuous Galerkin time domain methods in computational electrodynamics: state of the art
2015 · External reference
Unresolved reference
2005 · External reference
Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes
10.1016/j.jcp.2007.02.021 · 2007 · External reference
Accelerated implicit-explicit Runge-Kutta schemes for locally stiff systems
10.1016/j.jcp.2020.110022 · 2021 · External reference
Wave equation-based implicit subdomain DGTD method for modeling of electrically small problems
10.1109/tmtt.2016.2640312 · 2017 · External reference
Domain decomposition-based discontinuous Galerkin time-domain method with weighted Laguerre polynomials
10.1109/tap.2021.3076566 · 2021 · External reference
An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - V. local time stepping and p-adaptivity
10.1111/j.1365-246x.2007.03427.x · 2007 · External reference
Causal-path local time-stepping in the discontinuous Galerkin method for Maxwell’s equations
10.1016/j.jcp.2013.09.010 · 2014 · External reference
A new hybrid DGTD/FDTD method in 2-D
10.1109/lmwc.2008.2007688 · 2008 · External reference
A nodal continuous-discontinuous Galerkin time-domain method for Maxwell’s equations
10.1109/tmtt.2015.2472411 · 2015 · External reference
A new hybrid DGTD/FDTD method for 3-D multiscale simulations
2022 · External reference
Efficient low-storage Runge–Kutta schemes with optimized stability regions
10.1016/j.jcp.2011.09.003 · 2012 · External reference
Efficient multiple time-stepping algorithms of higher order
10.1016/j.jcp.2015.01.018 · 2015 · External reference
An explicit nodal space-time discontinuous Galerkin method for Maxwell’s equations
10.1109/lmwc.2014.2366240 · 2014 · External reference
An asynchronous spacetime discontinuous Galerkin finite element method for time domain electromagnetics
10.1016/j.jcp.2017.09.001 · 2017 · External reference
Tent-pitcher spacetime discontinuous Galerkin method for one-dimensional linear hyperbolic and parabolic PDEs
10.1016/j.camwa.2023.07.021 · 2023 · External reference
A hybrid Crank-Nicolson FDTD subgridding boundary condition for lossy thin-layer modeling
2017 · External reference
Finite-difference time-domain (FDTD) method with non-homogeneous cells filled with voxels
10.1016/j.jcp.2023.112266 · 2023 · External reference
Z-transform theory and FDTD stability
10.1109/tap.2004.835267 · 2004 · External reference
Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes
10.1051/m2an:2005049 · 2005 · External reference
Von Neumann stability analysis of globally constraint-preserving DGTD and PNPM schemes for the Maxwell equations using multidimensional Riemann solvers
10.1016/j.jcp.2018.09.051 · 2019 · External reference
Revisiting the stability of Crank Nicolson and ADI-FDTD
10.1109/tap.2007.908794 · 2007 · External reference
A dissipative systems theory for FDTD with application to stability analysis and subgridding
10.1109/tap.2016.2637867 · 2016 · External reference
A dissipation theory for three-dimensional FDTD with application to stability analysis and subgridding
10.1109/tap.2018.2869617 · 2018 · External reference
A dissipation theory for potentials-based FDTD for lossless inhomogeneous media
10.1109/lawp.2021.3136216 · 2022 · External reference
Dissipative dynamical systems part I: general theory
10.1007/bf00276493 · 1972 · External reference
Dissipative dynamical systems
10.3166/ejc.13.134-151 · 2007 · External reference
Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundström
10.1016/0021-9991(83)90123-7 · 1983 · External reference
Stability theory for difference approximations of mixed initial boundary value problems. i
10.1090/s0025-5718-1968-0241010-7 · 1968 · External reference
Stability theory of difference approximations for mixed initial boundary value problems. II
10.1090/s0025-5718-1972-0341888-3 · 1972 · External reference
A new efficient and stable 3D conformal FDTD
10.1109/lmwc.2016.2588579 · 2016 · External reference
Unresolved reference
2000 · External reference
Dissipative dynamical systems part II: linear systems with quadratic supply rates
10.1007/bf00276494 · 1972 · External reference
Unresolved reference
External reference
Unresolved reference
1994 · External reference
On relationships among passivity, positive realness, and dissipativity in linear systems
10.1016/j.automatica.2014.02.013 · 2014 · External reference
Unresolved reference
External reference
A spatial high-order hexahedral discontinuous Galerkin method to solve Maxwell’s equations in time domain
10.1016/j.jcp.2006.01.004 · 2006 · External reference
An analysis of the leap-frog discontinuous Galerkin method for Maxwells equations
10.1109/tmtt.2013.2295775 · 2014 · External reference
A spurious-free discontinuous Galerkin time-domain method for the accurate modeling of microwave filters
10.1109/tmtt.2012.2202683 · 2012 · External reference
Uber die abgrenzung der eigenwerte einer matrix
1931 · External reference
A general stability analysis of FIT/FDTD applied to lossy dielectrics and lumped elements
10.1002/jnm.547 · 2004 · External reference
Unresolved reference
External reference
A general stability analysis of FIT/FDTD applied to lossy dielectrics and lumped elements
10.1002/jnm.547 · ExternalCitation · doi-reference
Dissipative dynamical systems part I: general theory
10.1007/bf00276493 · ExternalCitation · doi-reference
Dissipative dynamical systems part II: linear systems with quadratic supply rates
10.1007/bf00276494 · ExternalCitation · doi-reference
Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundström
10.1016/0021-9991(83)90123-7 · ExternalCitation · doi-reference
On relationships among passivity, positive realness, and dissipativity in linear systems
10.1016/j.automatica.2014.02.013 · ExternalCitation · doi-reference
Tent-pitcher spacetime discontinuous Galerkin method for one-dimensional linear hyperbolic and parabolic PDEs
10.1016/j.camwa.2023.07.021 · ExternalCitation · doi-reference
A spatial high-order hexahedral discontinuous Galerkin method to solve Maxwell’s equations in time domain
10.1016/j.jcp.2006.01.004 · ExternalCitation · doi-reference
Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes
10.1016/j.jcp.2007.02.021 · ExternalCitation · doi-reference
Efficient low-storage Runge–Kutta schemes with optimized stability regions
10.1016/j.jcp.2011.09.003 · ExternalCitation · doi-reference
Causal-path local time-stepping in the discontinuous Galerkin method for Maxwell’s equations
10.1016/j.jcp.2013.09.010 · ExternalCitation · doi-reference
Efficient multiple time-stepping algorithms of higher order
10.1016/j.jcp.2015.01.018 · ExternalCitation · doi-reference
An asynchronous spacetime discontinuous Galerkin finite element method for time domain electromagnetics
10.1016/j.jcp.2017.09.001 · ExternalCitation · doi-reference
Von Neumann stability analysis of globally constraint-preserving DGTD and PNPM schemes for the Maxwell equations using multidimensional Riemann solvers
10.1016/j.jcp.2018.09.051 · ExternalCitation · doi-reference
Accelerated implicit-explicit Runge-Kutta schemes for locally stiff systems
10.1016/j.jcp.2020.110022 · ExternalCitation · doi-reference
Finite-difference time-domain (FDTD) method with non-homogeneous cells filled with voxels
10.1016/j.jcp.2023.112266 · ExternalCitation · doi-reference
Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes
10.1051/m2an:2005049 · ExternalCitation · doi-reference
Stability theory for difference approximations of mixed initial boundary value problems. i
10.1090/s0025-5718-1968-0241010-7 · ExternalCitation · doi-reference
Stability theory of difference approximations for mixed initial boundary value problems. II
10.1090/s0025-5718-1972-0341888-3 · ExternalCitation · doi-reference
A dissipation theory for potentials-based FDTD for lossless inhomogeneous media
10.1109/lawp.2021.3136216 · ExternalCitation · doi-reference
A new hybrid DGTD/FDTD method in 2-D
10.1109/lmwc.2008.2007688 · ExternalCitation · doi-reference
An explicit nodal space-time discontinuous Galerkin method for Maxwell’s equations
10.1109/lmwc.2014.2366240 · ExternalCitation · doi-reference
A new efficient and stable 3D conformal FDTD
10.1109/lmwc.2016.2588579 · ExternalCitation · doi-reference
Z-transform theory and FDTD stability
10.1109/tap.2004.835267 · ExternalCitation · doi-reference
Revisiting the stability of Crank Nicolson and ADI-FDTD
10.1109/tap.2007.908794 · ExternalCitation · doi-reference
Parallel and explicit finite-element time-domain method for Maxwell’s equations
10.1109/tap.2011.2143682 · ExternalCitation · doi-reference
A dissipative systems theory for FDTD with application to stability analysis and subgridding
10.1109/tap.2016.2637867 · ExternalCitation · doi-reference
A dissipation theory for three-dimensional FDTD with application to stability analysis and subgridding
10.1109/tap.2018.2869617 · ExternalCitation · doi-reference
Domain decomposition-based discontinuous Galerkin time-domain method with weighted Laguerre polynomials
10.1109/tap.2021.3076566 · ExternalCitation · doi-reference
A spurious-free discontinuous Galerkin time-domain method for the accurate modeling of microwave filters
10.1109/tmtt.2012.2202683 · ExternalCitation · doi-reference
An analysis of the leap-frog discontinuous Galerkin method for Maxwells equations
10.1109/tmtt.2013.2295775 · ExternalCitation · doi-reference
A nodal continuous-discontinuous Galerkin time-domain method for Maxwell’s equations
10.1109/tmtt.2015.2472411 · ExternalCitation · doi-reference
Wave equation-based implicit subdomain DGTD method for modeling of electrically small problems
10.1109/tmtt.2016.2640312 · ExternalCitation · doi-reference
An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - V. local time stepping and p-adaptivity
10.1111/j.1365-246x.2007.03427.x · ExternalCitation · doi-reference
Dissipative dynamical systems
10.3166/ejc.13.134-151 · ExternalCitation · doi-reference