Problem List

Numerical Linear Algebra

1_Conjugate_Gradient

3_Gauss_Seidel

4_Incomplete_Cholesky

5_Lanczos

9_Weighted_Jacobi

29_Gram_Schmidt_orthogonalization

31_independent_component_analysis

74_Householder_QR

Computational Mechanics

18_NURBS

24_Burgers_equation

40_Spliting_Operator

54_SUPG

78_Chaotic_Dynamics_Pendulum

Computational Finance

63_Estimating_Stock_Option_Price

Condensed Matter Physics

17_linear_tetrahedron_method

20_phonon_angular_momentum

^*33_phase_diagram_chern_haldane_model

38_Reciprocal_lattice_vector

48_MEELS_conversion

^*50_Replica_symmetry_breaking

62_dmrg

67_LEG_Dyson_equation_bulk

69_LEG_Dyson_equation_semi_infinite

72_ising_model

73_Xray_conversion_II

75_graphene_tight_binding

Optics

2_Gaussian_Beam_Focus

6_Spatial_filters_I

7_Spatial_filters_II

8_Spatial_filters_III

^*14_Brownian_motion_in_the_optical_tweezer

22_Beam_translation_reexpansion

28_Gaussian_Beam_Intensity

^*32_Multiparticle_dynamics_in_the_optical_tweezer_array

37_ray_optics_spherical_aberration

43_two_end_fiber_laser_generator

Quantum Information/Computing

11_GADC_entanglement

19_n_tangle

23_Blahut_Arimoto

59_VQE

65_GHZ_protocol_fidelity

71_GADC_rev_coherent_info

Computational Physics

13_Maxwell_Equation_Solver

15_Crank_Nicolson_for_time_dependent_Schrodinger

45_finite_difference_heat_equation

52_Shooting_algo_H_atom

57_1D_harmonic_oscillator_numerov_shooting

Astrophysics

49_nbody

58_Tolman_Oppenheimer_Volkoff_star

Particle Physics

^*70_neutrino_oscillation

Quantum Chemistry

^*12_Schrodinger_DFT_with_SCF

30_helium_slater_jastrow_wavefunction

46_helium_atom_vmc

66_kolmogorov_crespi_potential

68_helium_atom_dmc

Computational Chemistry

10_ewald_summation

16_Davidson_method

60_Widom_particle_insertion

Ecology

25_CRM_in_chemostat

26_CRM_in_serial_dilution

41_Structural_stability_in_serial_dilution

53_Stochastic_Lotka_Volterra

55_Swift_Hohenberg

56_temporal_niches

Biochemistry

44_two_mer_entropy

Genetics

76_protein_dna_binding

Semiconductor Materials

21_Absorption_coefficient_for_alloy_GaAlAs

27_Design_trade_offs_for_high_speed_photodetectors

34_PN_diode_band_diagram

^*35_Quantum_Dot_Absorption_Spectrum

36_Quasi_Fermi_levels_of_photo_resistor_out_of_equilibrium

39_Reflection_spectra_for_a_Distributed_Bragg_Reflector

42_The_threshold_current_for_multi_quantum_well_lasers

Molecular Modeling

47_Internal_Energy

51_Simple_Molecular_Dynamics

64_GCMC

77_Berendsen_thermostat

79_Nose_Hoover_chain_thermostat

80_Anderson_thermostat

*: Problems that are related to Nobel Prize-winning researches