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Isaac Newton Institute for Mathematical Sciences

Highly Oscillatory Problems: Computation, Theory and Application

Papers produced by Participants

Preprint No. Author(s) Title and publication details
IP07010 SR Fulton Analysis of the Fokas method for elliptic problems on a convex polygon
IP07013 S Xiang Numerical analysis for a fast integration of highly oscillatory functions BIT
IP07015 R Hiptmair, RHW Hoppe and P Joly Computational Electromagnetism and Acoustics
IP07016 E Hairer, D Cohen and C Lubich Long-time analysis of non-linearly perturbed wave equations via modulated Fourier expansion Arch. Ration. Mech. Anal
IP07017 E Hairer and C Lubich Spectral semi-discretisations of weakly non-linear wave equations over long times Foundations of Comput. Math.
IP07018 E Hairer, D Cohen and C Lubich Conservation of energy, momentum and actions in num. discr. of nonlinear wave equations Numerische Mathematik
IP07019 E Hairer, RI McLachlan and A Razakarivony Achieving Brouwer's law with implicit Runge-Kutta methods BIT
IP07021 H Brunner, PJ Penny and DB Duncan Discontinuous Galerkin approximations for Volterra integral equations IMA journal of numerical analysis
IP07022 H Brunner, A Iserles and AP Norsett Spectral problems for highly oscillatory Fredholm operators
IP07023 H Brunner, A Iserles and SP Norsett Theoretical and numerical aspects of highly oscillatory Fredholm operators
IP07024 H Brunner, A Iserles and SP Norsett The computational solution of Volterra intergrals ... oscillatory kernels
IP07025 IG Graham, V Dominguez and V Smyshlyaev A hybrid numerical asymptotic boundary integral method for high frequency acoustic scattering Numerische Mathematik
IP07026 IG Graham Robust boundary integral methods in high-frequency scattering Oberwolfach reports
IP07027 IG Graham, CC Chu and TY Hou The accuracy of multiscale finite element methods for high contrast elliptic interface problems
IP07028 IG Graham, SN Chandler-Wilde and S Langdon Condition number estimates for combined potential intergral operators in acoustic scattering
IP07029 IG Graham, V Dominguez and F Ecevit Improved Galerkin methods for boundary integral equations in acoustic scattering
IP07030 IG Graham and S Giani A convergent adaptive method to elliptic eigenvalue problems
IP07031 A Abdulle and B Engquist Finite element heterogeneous multiscale methods with near optimal computational complexity Siam:multiscale modelling and simulation
IP07032 A Abdulle and P Heuser Homogenization of quasilinear elliptic-parabolic equations and numerical methods for Richard equations
IP07033 A Abdulle, E Weinan and T Li Hybrid methods for chemical recations
IP07034 SJA Malham, V Ledoux and V Thümmler Computing the Evans function using grassmanians
IP07035 SJA Malham, V Ledoux and V Thümmler Multi-dimensional shooting
IP07036 SJA Malham, G Lord and A Wiese Efficient strong integrators for linear stochastic systems Sinum
IP07037 SJA Malham and A Wiese Stochastic lie groups integrators SISC
IP07038 S Kamvissis and G Teschl Stability of Toda lattics under short range perturbations Ann. Math.
IP07039 S Kamvissis Wigner measure for semiclassical NLS Appl. Math. Left.
IP07040 D O'Neale and RI McLachlan Comparision of integrators for the F-P-U problem
IP07045 Unknown Tunnel effect for the Kranus-Foker-Plank equation
IP07053 S Ernedoza and E Zuazua Perfectly matched layer:energy decay for continuous and semi-descrete waves
IP07054 S Ernedoza, C Zheng and E Zuazua Conserving time semi-descrete schemes: reslovent estimate and observability
IP07068 F Ecevit and D Huybrechs High-frequency scattering by toroidal surfaces of revolution
IP07070 IL Ignat and E Zuazua Convergence of a two-grid algorithm for the control of the wave equation
IP07071 R Melnik The Cayley Transform Technique in Application to PDEs
IP07072 R Melnik Time-dependent models of phase transformations and their numerical approximations
IP07073 R Melnik, S Zhang and W Dai A finite difference method for studying thermal deformation in a 3D thin film exposed to ultra short pulsed lasers International journal of heat and mass transfer
IP07074 R Melnik and D Zhang First passage time for multivariate jump-diffusion stochastic models
IP07075 Unknown On simulations of Maxwell-Schrödinger equations
IP07076 Unknown Constraint preserving schemes for some gauge invariant wave equations
IP07077 B Pelloni, A Fokas and O Nevanlinna Spectral properties of sub-order differential operators
IP07078 J Vanneste Asymptotics of a slow manifold
IP07088 O Ostermann and M Colion Exponential intepolation for advector problems ???
IP07091 Q Sheng and S Guha On Highly efficient numerical quadratures in info-laser beam propagation simulations
IP07092 A Its, A Boutet de Monvel and V Kotlyarov Long-time asymtotics of the solutions of the time-periodic boundary problem
IP07093 A Its, F Mezzadri and MY Mo Entanglement entropy in quantum spin chains with long range interaction
IP07094 A Its and I Krasovsky Hankel determinant and orthogonal polynomials for the Gausian weight with a jump
IP07097 S Norsett and A Iserles From high oscillations to rapid approximations II:multivariate expansions IMANA
IP07098 I Sloan Finite order integration weights can be dangerous Computational methods in applied mathematics
IP07110 S Langdon, SN Chandler-Wilde and IG Graham Condition number estimates for combined potential integral operators in acoustic scattering
IP07126 V Michel and AS Fokas the inverse gravimentric problem: Asurvey on the non-uniqueness and wavelet-based methods
IP07127 V Michel and As Fokas Localisation of MEG sources by wavelet methods
IP07149 S Norsett The spectral problem for a class of highly oscillatory Fredholm equations of the second class
IP07150 U Ascher Numerical methods for time-dependent differential equations
IP07151 U Ascher and H Huang Fast denoising of surface meshes with intrinsic texture Inverse problems
IP07152 M Ganesh High order methods for electromagnitic scattering
IP07153 F Ecevit, V Dominguez and IG Graham Improved Galerkin methods for boundary integral equations in high-frequency acoustic scattering
IP07154 F Ecevit and D Huybrechs High-frequency scattering by taroidal surfaces of revolution
IP07155 A Iserles and SP Norsett From high oscillation to rapid approximation III: multivariate expansions IMA J. Num. Anal.
IP07156 A Iserles, D Huybrechs and SP Norsett From high oscillation to rapid approximation IV: accelerating convergence
IP07157 A Iserles, H Brunner and SP Norsett Theoretical and numerical aspects of a class of highly oscillatory Fredholm equations of the second kind
IP07158 A Iserles, H Brunner and SP Norsett The computational solution of Volterra integral and intepro-differential equations with highly oscillatory kernals
IP07159 A Iserles, H Brunner and SP Norsett Modified Fourier expansions and spectral problems for highly oscillatory Fredholm operators.
IP07160 E Zuazua On the numerical approximation of the Helmholtz equation at large wave numbers Mathematic Contemporanea
IP07161 E Zuazua and L Ignat Convergence of a multi-grid method for the control of waves JEMS
IP07162 E Zuazua and S Ervedoza Perfectly matched layers in 1-D: energy decay for continuous and semi-discrete waves Foundations of Computational Mathematics
IP07163 E Zuazua, C Castro and D Palacios An alternating descent method for the optimal control of the inviscid Burgers equation in the presence of shocks M3AS
IP07164 E Zuazua, X Zhang and C Zheng Exact controllability for the time-discrete wave equation
IP07165 E Zuazua and J Vancostenoble Null controllability of heat equations with singular inverse-square potentials
IP07166 E Zuazua and K Beachard Sharp large time asymptotics for partially dissipative hyperbolic systems
IP07181 B De Monues, A Its and V Koteyerov Long-Time Asymptotics for the Focusing NLS Equation with Time-Periodic Boundary Condition CRAS
IP07182 B De Monues Long-Time Asymptotics at the Solution of a Problem with Time-Periodic Boundary Conditions and Vanishing Initial Data for the Focusing NLS Equation
IP07193 R McLachlan, E Hairer and A Razakarivony Achieving Brauer's Law in implicit Runge Kata methods
IP07194 R McLachlan, GRW Quispel and PSP Tse A linearization preserving symplectic integrator for Hamiltonian ODES
IP07195 R McLachlan and B Ryland On multisymplecticity of partitioned Runge-Kata methods SIAM J Sci Comput
IP07196 R McLachlan, E Hairer and R Skeel A modified Takahashi-Lunada method
IP07197 R McLachlan and DRJ O'Neale Comparison of integrators for the Fermi-Pate-Illam problem
IP07204 B Leimkuhler, F Legoll and E Noorizadeh Temperature regulated microcanonical dynamics J Chem Phys
IP07205 B Leimkuhler, G Csanyi and N Bernstein The Hermite parameterization method with application to molecular dynamics SIAM J Sci Comp
IP07206 B Leimkuhler and C Sweet Higher order reversibel variable stepsize methods num. math.
IP07220 D Wirosoetisno and R Temam Stability of the slow manifold in the primitive equations
IP07221 B Owren, D Cohen and X Raynaud Multi-symplectic integration of the Camassa-Holm equation Journal of Comp Phys
IP07222 C Budd The parabolic Monge-Ampere method for mesh generation
IP07223 C Budd Mesh point motion in wave packets; analysis via the solution of Stefan type problems
IP07224 V Smyshlyaev, V Dominquez and I Graham A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering Numerische Mathematik
IP07225 VP Smyshlyaev, N Babych and I Kamotski Homogenization in periodic media with doubly high contrasts Networds and Heterogeneous Media
IP07289 C Lubich, D Cohen and E Hairer Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansions
IP07290 C Lubich and E Hairer Spectral semi-discretisations of weakly nonlinear wave equations over long times
IP07291 C Lubich, D Cohen and E Hairer Conservations of energy, momentum and actions in numerical discretizations of nonlinear wave equations
IP07293 D Cohen, B Owren and X Raynaud Multi-symplectic integrations of the Camassa-Holm equation Journal of Computational Physics
IP07294 D Cohen, E Hairer and C Lubich Long time analysis of nonlinearly perturbed wave equations via modulated Fourier expansions Arch. Rat. Mech. Anal
IP07295 D Cohen, E Hairer and C Lubich Conservation of energy, momentum and actions in numerical discretizations of non linear wave equations Num. Math
IP07299 E Celledoni, F Fasso and N Safstrom Exact computation of the solution of the free rigid body with applications NTNU Preprint
IP07300 E Celledoni Parallelism in time for the solution of a time dependant Stokes problem NYNU Preprint
IP07301 E Celledoni Eulerian and semi-Lagrangian exponential integrators for convection dominated problems
IP07303 R Hiptmair and I Perugia Plane wave discontinuous Galerkin methods
IP07325 SN Chandler-Wilde, IG Graham and S Langdon Condition number estimates for combined potential boundary integral operators in acoustic scattering J. Integ. Equat. Appl.
IP07326 SN Chandler-Wilde and P Monk The PML for rough surface scattering Appl. Numer. Math
IP07327 S Langdon, D Huybrechs and SN Chandler-Wilde A fully discrete collocation method for high frequency scattering by convex polygons Proceedings of Waves 2007
IP07328 SN Chandler-Wilde and IG Graham High frequency boundary integral equation methods for acoustics and electromagnetics
IP07329 SN Chandler-Wilde and M Lindner Limit operators, collective compactness, and the spectral theory of infinite matrices
IP07356 X Shuhuang and W Haiyong On the Levin iterative method for oscillatory integrals Journal of Computational and Applied Mathematics