Numerical simulations Anti-diffusive method Kinetic equations Prion Fracture propagation Spectral stability Cancer Asymptotic convergence Immune response Cross diffusion Coulomb friction Dynamical core Apparent diffusion coefficient Energy dissipation Stochastic partial differential equations Agent-based models Variational inequality Hamiltonian dynamics Hematopoietic stem cells Unilateral contact Geophysical fluid dynamics HWI inequality Diffusion magnetic resonance imaging Mass redistribution method Elastodynamics Finite element Diffusion encoding gradient Circadian clock Differential equations Chronotherapy Cellular differentiation Entropy Compressible flows Biot system Navier-Stokes system Contact Asymptotic analysis Fixed-stress iterative coupling Error bounds Delay differential equations Homogenization Cell dynamics Delay differential-difference system Tresca’s friction law Abbreviated action integral Transport equations Stokes equations Hele-Shaw Alzheimer Data completion Kinetic formulation Product integration method Traveling wave Partial differential equations Clot growth 92C37 Bloch-Torrey equation Flow convexity Finite volume scheme Diffusion limit Prions Finite element method Contact problem Elasticity Kinetic equation Hopf bifurcation Finite elements Convergence Age-structured PDE Finite volumes Solvability conditions Entropy method Harmonic limit Blood coagulation Dynamics Hematopoiesis Shallow water equations Linear elasticity Plasma physics Navier-Stokes equations Stability History-dependent boundary condition Traveling waves Dispersion relationship Bergman kernel Amplitude equation Energy conservation Cardiac diffusion imaging Nitsche's method Existence of pulses Mixed finite elements Fredholm integral equation Cauchy problem Multiscale modeling Cell population dynamics Viscoelasticity Blow-up Cell cycle Euler characteristic Asymptotic expansion