Fetching the paper…
Reading the bibliography…
We present a quantum algorithm for simulating the wave equation under Dirichlet and Neumann boundary conditions.
Survey of the stability of linear finite difference equations
Lax P. D. and Ichtmyer R. D. R · 1956
Earlier work this paper cites.
A family of embedded runge-kutta formulae
J.R. Dormand and P.J. Prince · 1980
Earlier work this paper cites.
A novel discrete variable representation for quantum mechanical reactive scattering via the s-matrix kohn method
Colbert Daniel T. and Miller William H · 1992
Earlier work this paper cites.
Efficient simulation of quantum systems by quantum computers
Christof Zalka · 1998
Earlier work this paper cites.
Synthesis of quantum superpositions by quantum computation
Lov K. Grover · 2000
Earlier work this paper cites.
Creating superpositions that correspond to efficiently integrable probability distributions
Lov Grover and Terry Rudolph · 2002
Earlier work this paper cites.
Efficient quantum algorithms for simulating sparse hamiltonians
Dominic W. Berry, Graeme Ahokas, Richard Cleve, and Barry C. Sanders · 2007
Earlier work this paper cites.
A quantum algorithm to solve nonlinear differential equations
Sarah K Leyton and Tobias J Osborne · 2008
Cited alongside, same era.
Quantum algorithm for linear systems of equations
Aram W. Harrow, Avinatan Hassidim, and Seth Lloyd · 2009
Cited alongside, same era.
Lectures for VII Mexican School on Gravitation and Mathematical Physics; Relativistic and Numerical Relativity; Numerical Analysis for Numerical Relativists
Choptuik Matthew W · 2009
Cited alongside, same era.
Proof of the fundamental gap conjecture
Andrews Ben and Clutterbuck Julie · 2011
Cited alongside, same era.
Ambainis Andris · 2012
Cited alongside, same era.
Preconditioned quantum linear system algorithm
B. D. Clader, B. C. Jacobs, and C. R. Sprouse · 2013
Later among the works it cites.
High-order quantum algorithm for solving linear differential equations
Dominic W Berry · 2014
Later among the works it cites.
Hamiltonian simulation with nearly optimal dependence on all parameters
D. W. Berry, A. M. Childs, and R. Kothari · 2015
Later among the works it cites.
Quantum algorithms and the finite element method
Ashley Montanaro and Sam Pallister · 2016
Later among the works it cites.
Quantum algorithm for linear differential equations with exponentially improved dependence on precision
Dominic W. Berry, Andrew M. Childs, Aaron Ostrander, and Guoming Wang · 2017
Closest in time.
Quantum algorithm for systems of linear equations with exponentially improved dependence on precision
Andrew M. Childs, Robin Kothari, and Rolando D. Somma · 2017
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Quantum algorithm and circuit design solving the poisson equation
Yudong Cao, Anargyros Papageorgiou, Iasonas Petras, Joseph Traub, and Sabre Kais · 2013
Cited alongside, same era.
Payne L. E. and Weinberger H. F
Cited in the paper.
Closest in time.