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A High-Order Discontinuous Galerkin Discretization with Multiwavelet-Based Grid Adaptation for Compressible Flows
Nils Gerhard, Francesca Iacono, Georg May, Siegfried Müller and Roland Schäfer Journal of Scientific Computing 62(1) 25 (2015) https://doi.org/10.1007/s10915-014-9846-9
APPROXIMATE SOLUTION OF MODIFIED CAMASSA–HOLM AND DEGASPERIS–PROCESI EQUATIONS USING WAVELET OPTIMIZED FINITE DIFFERENCE METHOD
RATIKANTA BEHERA and MANI MEHRA International Journal of Wavelets, Multiresolution and Information Processing 11(02) 1350019 (2013) https://doi.org/10.1142/S0219691313500197
New Rothe-wavelet method for solving telegraph equations
A Multiresolution Model for the Simulation of Transient Heat and Mass Transfer
Jahrul M. Alam, Nicholas K.-R. Kevlahan, Oleg V. Vasilyev and Zahangir Hossain Numerical Heat Transfer, Part B: Fundamentals 61(3) 147 (2012) https://doi.org/10.1080/10407790.2012.666167
On the use of biorthogonal interpolating wavelets for large-eddy simulation of turbulence
Computational Techniques for Structural Health Monitoring
Srinivasan Gopalakrishnan, Massimo Ruzzene and Sathyanarayana Hanagud Springer Series in Reliability Engineering, Computational Techniques for Structural Health Monitoring 97 (2011) https://doi.org/10.1007/978-0-85729-284-1_3
Space-Time Adaptive Wavelet Methods for Optimal Control Problems Constrained by Parabolic Evolution Equations
APPLICATION OF ADAPTIVE WAVELET NETWORKS FOR VIBRATION CONTROL OF BASE ISOLATED STRUCTURES
HAMID REZA KARIMI, MAURICIO ZAPATEIRO and NINGSU LUO International Journal of Wavelets, Multiresolution and Information Processing 08(05) 773 (2010) https://doi.org/10.1142/S0219691310003778
An adaptive multiresolution scheme with local time stepping for evolutionary PDEs
Margarete O. Domingues, Sônia M. Gomes, Olivier Roussel and Kai Schneider Journal of Computational Physics 227(8) 3758 (2008) https://doi.org/10.1016/j.jcp.2007.11.046
An adaptive algorithm for compressible reacting flows using interpolating wavelets
R Prosser Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 221(11) 1397 (2007) https://doi.org/10.1243/09544062JMES489
Adaptive Mesh Refinement for Time-Domain Numerical Electromagnetics
Synthesis Lectures on Computational Electromagnetics, Adaptive Mesh Refinement for Time-Domain Numerical Electromagnetics (2007) https://doi.org/10.1007/978-3-031-01695-0
On the effects of lifting on interpolating wavelets for combustion simulations
R Prosser Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 221(12) 1579 (2007) https://doi.org/10.1243/09544062JMES490
Wavelet optimized finite difference method with non-static re-gridding
WAVELET-BASED ADAPTIVE COLLOCATION METHOD FOR THE RESOLUTION OF NONLINEAR PDEs
A. KARAMI, H. R. KARIMI, B. MOSHIRI and P. JABEDAR MARALANI International Journal of Wavelets, Multiresolution and Information Processing 05(06) 957 (2007) https://doi.org/10.1142/S0219691307002154
Two-dimensional quantum propagation using wavelets in space and time
Wavelet-based adaptive multiresolution computation of viscous reactive flows
Yevgenii A. Rastigejev and Samuel Paolucci International Journal for Numerical Methods in Fluids 52(7) 749 (2006) https://doi.org/10.1002/fld.1202
Adaptive Mesh Refinement - Theory and Applications
Guillaume Chiavassa, Rosa Donat and Siegfried Müller Lecture Notes in Computational Science and Engineering, Adaptive Mesh Refinement - Theory and Applications 41 137 (2005) https://doi.org/10.1007/3-540-27039-6_10
An adaptive multilevel wavelet collocation method for elliptic problems
Multiscale quantum propagation using compact-support wavelets in space and time
Haixiang Wang, Ramiro Acevedo, Heather Mollé, Jeffrey L. Mackey, James L. Kinsey and Bruce R. Johnson The Journal of Chemical Physics 121(16) 7647 (2004) https://doi.org/10.1063/1.1793952
Adaptive wavelet representation and differentiation on block-structured grids
Interpolating wavelet collocation method of time dependent Maxwell’s equations: characterization of electrically large optical waveguide discontinuities
A wavelet-balance approach for steady-state analysis of nonlinear circuits
Xin Li, Bo Hu, Xieting Ling and Xuan Zeng IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 49(5) 689 (2002) https://doi.org/10.1109/TCSI.2002.1001960
Connection coefficients on an interval and wavelet solutions of Burgers equation
R Prosser and R S Cant Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 214(11) 1355 (2000) https://doi.org/10.1243/0954406001523326
The theoretical development of wavelets in reacting flows
R Prosser and R S Cant Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 214(11) 1363 (2000) https://doi.org/10.1243/0954406001523335
Solving Hyperbolic PDEs Using Interpolating Wavelets